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Displaying Results 1  25 of 37 on page 1 of 2
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A Design Methodology for Switched Discrete Time Linear Systems with Applications to Automotive Roll Dynamics Control
(2008)
Solmaz, Selim; Shorten, Robert N.; Wulff, Kai; Ó Cairbre, Fiacre
A Design Methodology for Switched Discrete Time Linear Systems with Applications to Automotive Roll Dynamics Control
(2008)
Solmaz, Selim; Shorten, Robert N.; Wulff, Kai; Ó Cairbre, Fiacre
Abstract:
In this paper we consider the asymptotic stability of a class of discretetime switching linear systems, where each of the constituent subsystems is Schur stable. We first present an example to motivate our study, which illustrates that the bilinear transform does not preserve the stability of a class of switched linear systems. Consequently, continuous time stability results cannot be transformed to discrete time analogs using this transformation. We then present a subclass of discretetime switching systems, that arise frequently in practical applications. We prove that global attractivity for this subclass can be obtained without requiring the existence of a common quadratic Lyapunov function (CQLF). Using this result we present a synthesis procedure to construct switching stabilizing controllers for an automotive control problem, which is related to the stabilization of a vehicle's roll dynamics subject to switches in the center of gravity (CG) height.
http://mural.maynoothuniversity.ie/892/
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A Geometrical Treatment for Obtaining Necessary and Sufficient Conditions for Joint Quadratic Lyapunov Function Existence for StateDependent, Switched Systems: A TwoDimensional Case
(2009)
Griggs, Wynita M.; King, Christopher K.; Shorten, Robert N.; Mason, Oliver; Wulff, Kai
A Geometrical Treatment for Obtaining Necessary and Sufficient Conditions for Joint Quadratic Lyapunov Function Existence for StateDependent, Switched Systems: A TwoDimensional Case
(2009)
Griggs, Wynita M.; King, Christopher K.; Shorten, Robert N.; Mason, Oliver; Wulff, Kai
Abstract:
The question of existence of joint quadratic Lyapunov functions (QLFs) for statedependent, switched dynamical systems is given a preliminary geometrical treatment in this paper. The joint QLF problem for a switched system and a collection of regions defined by state vectors that determine when switching occurs consists of finding nonempty intersections of convex sets of QLFs. The existence of a joint QLF guarantees switched system stability. Necessary and sufficient conditions for the existence of a joint QLF are obtained for a twodimensional problem.
http://mural.maynoothuniversity.ie/2220/
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A Prototype ComputerAidedLearning Package for System Dynamic and Control
(1994)
Ringwood, John; Collins, M.F.
A Prototype ComputerAidedLearning Package for System Dynamic and Control
(1994)
Ringwood, John; Collins, M.F.
Abstract:
This paper reports on the development of a CAL package, offering undergraduate students a computerbased supplemental learning facility in the areas of system dynamics and control and providing a userfriendly entry to computeraided dynamical system analysis. The prototype package has been evaluated by a mixed set of users with positive results.
http://mural.maynoothuniversity.ie/9542/
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A Unifying Framework for the Circle Criterion and Other Quadratic Stability Criteria
(2003)
Shorten, Robert N.; Mason, Oliver; Ó Cairbre, Fiacre; Curran, P.
A Unifying Framework for the Circle Criterion and Other Quadratic Stability Criteria
(2003)
Shorten, Robert N.; Mason, Oliver; Ó Cairbre, Fiacre; Curran, P.
Abstract:
We present a result on the existence of a common quadratic Lyapunov function for a pair of linear timeinvariant systems. We show that this result characterises, generalises, and provides new perspectives on several wellknown stability results. In particular, new timedomain formulations of the Circle Criterion and Meyer’s extension of the KYP lemma are presented.
http://mural.maynoothuniversity.ie/6233/
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An improved model to predict the effects of changing biodiversity levels on ecosystem function
(2013)
Connolly, John; Bell, Thomas; Bolger, Thomas; Brophy, Caroline; Carnus, Tim; Finn, John...
An improved model to predict the effects of changing biodiversity levels on ecosystem function
(2013)
Connolly, John; Bell, Thomas; Bolger, Thomas; Brophy, Caroline; Carnus, Tim; Finn, John Anthony; Kirwan, Laura; Isbell, Forest; Levine, Jonathan; Luscher, Andreas; Picasso, Valentin; Roscher, Christiane; Sebastia, M.Teresa; Suter, Matthias; Weigelt, Alexandra
Abstract:
The development of models of the relationship between biodiversity and ecosystem function (BEF) has advanced rapidly over the last 20 years, incorporating insights gained through extensive experimental work. We propose Generalised Diversity‐Interactions models that include many of the features of existing models and have several novel features. Generalised Diversity‐Interactions models characterise the contribution of two species to ecosystem function as being proportional to the product of their relative abundances raised to the power of a coefficient θ. A value of θ < 1 corresponds to a stronger than expected contribution of species' pairs to ecosystem functioning, particularly at low relative abundance of species. Varying the value of θ has profound consequences for community‐level properties of BEF relationships, including: (i) saturation properties of the BEF relationship; (ii) the stability of ecosystem function across communities; (iii) the likelihood of trans...
http://mural.maynoothuniversity.ie/10146/
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Analytical Studies Concerning the Stability of Betamethasone Valerate and Fusidic acid Hemihydrate in Topical Pharmaceutical Preparations
(2018)
Byrne, Jonathan
Analytical Studies Concerning the Stability of Betamethasone Valerate and Fusidic acid Hemihydrate in Topical Pharmaceutical Preparations
(2018)
Byrne, Jonathan
Abstract:
The research work presented in this thesis describes studies concerning the stability of the drug substances betamethasone 17valerate and fusidic acid hemihydrate in topical pharmaceutical formulations. In particular, the work concentrates on formulation factors affecting the intramolecular isomerisation of betamethasone 17valerate to 21valerate in a developmental topical cream for treatment of atopic dermatitis and psoriasis. Appropriate analytical tools for the simultaneous analysis of both drug substances have been developed and their suitability for use in the study demonstrated by validation experiments. The results of the isomerisation study indicate that the concentration of the emulsifier macrogolstearylether21 significantly influences the isomerisation rate of the glucocorticoid. 5 % (w/w) of this substance in the formulation resulted in complete isomerisation within a number of months, whereas 1.5 % (w/w) gave rise to less than 3 % isomerisation after 3 years storage....
http://mural.maynoothuniversity.ie/10761/
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Bistability, Bifurcation and Chaos in a Laser System
(1995)
Ó Cairbre, Fiacre; O'Farrell, A.G.; O'Reilly, A.
Bistability, Bifurcation and Chaos in a Laser System
(1995)
Ó Cairbre, Fiacre; O'Farrell, A.G.; O'Reilly, A.
Abstract:
The purpose of the present investigation was to determine rigourously the parameter ranges for instability, bistability, and especially chaos in the system. The approach used was analytical. Maple, Mathematica and purpose–written programs in C and MODULA2 were employed for symbolic manipulation, emulation, curve– and surface– sketching, root–solving, and estimation. This approach enabled us to identify parameter values for which an extensive range of pathological behaviour is exhibited, including various kinds of chaos. Emulation proved consistent with these findings.
http://mural.maynoothuniversity.ie/1810/
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Contributions to the Analysis of Biochemical ReactionDiffusion Networks Stability, Analysis, and Numerical Solutions
(2012)
LopezCaamal, Fernando
Contributions to the Analysis of Biochemical ReactionDiffusion Networks Stability, Analysis, and Numerical Solutions
(2012)
LopezCaamal, Fernando
Abstract:
In this thesis we address dynamic systems problems that arise from the study of biochemical networks. Here we prefer a rigorous treatment of the differential equations that govern their spatiotemporal dynamics, at the cost of studying simplified scenarios of the biological systems under study. Although these simplified scenarios do not model all aspects of the complex interplay in the biological system, they are derived to study the relationship between specific causes and effects. However, by abstracting the systems under study, we obtain the benefit of having models that represent a large variety of processes. For instance, a simple activation mechanism studied here may be used to model the autoactivation of the effector caspase in the apoptosis pathway, the activation of the Akt/mTOR complex implicated in muscular growth, and twospecies population dynamics. In particular, we derive analytical expressions for the equilibrium points of a circular protein activation mechanism with ...
http://mural.maynoothuniversity.ie/4322/
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Convex Cones, Lyapunov Functions, and the Stability of Switched Linear Systems
(2005)
Shorten, Robert N.; Mason, Oliver; Wulff, Kai
Convex Cones, Lyapunov Functions, and the Stability of Switched Linear Systems
(2005)
Shorten, Robert N.; Mason, Oliver; Wulff, Kai
Abstract:
Recent research on switched and hybrid systems has resulted in a renewed interest in determining conditions for the existence of a common quadratic Lyapunov function for a finite number of stable LTI systems. While efficient numerical solutions to this problem have existed for some time, compact analytical conditions for determining whether or not such a function exists for a finite number of systems have yet to be obtained. In this paper we present a geometric approach to this problem. By making a simplifying assumption we obtain a compact timedomain condition for the existence of such a function for a pair of LTI systems. We show a number of new and classical Lyapunov results can be obtained using our framework. In particular, we demonstrate that our results can be used to obtain compact timedomain versions of the SISO Kalman YacubovichPopov lemma, the Circle Criterion, and stability multiplier criteria. Finally, we conclude by posing a number of open questions that arise as a...
http://mural.maynoothuniversity.ie/6235/
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Creatinine biosensors: principles and designs
(2000)
Killard, Anthony J.; Smyth, Malcolm R.
Creatinine biosensors: principles and designs
(2000)
Killard, Anthony J.; Smyth, Malcolm R.
Abstract:
Creatinine biosensors, based on both potentiometric and amperometric devices, have been created. However, there are significant problems still to be addressed, including the balance between sensitivity and selectivity, interference rejection and sensor stability. In addition, many devices still rely on a dualsensor approach for creatine and creatinine subtractive measurements. However, creatinine biosensors appear close to attaining the performance goals necessary for their widespread application. This article looks at the operating principle and design of both potentiometric and amperometric creatinine biosensors, and shows how the design of these devices affects their performance.
http://doras.dcu.ie/41/
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Crony Capitalism and Financial System Stability
(2005)
Pecchenino, Rowena A.
Crony Capitalism and Financial System Stability
(2005)
Pecchenino, Rowena A.
Abstract:
Prior to the Asian financial crisis, the cozy relationships between corporations, governments, and banks were seen as a potent force for economic growth and development. In this article we examine the institution of crony capitalism. Under conditions in which the Second Welfare Theorem does not hold, there is a role for government. Some governmental institutions do encourage more risky, highpayoff entrepreneurial activities. Our aim is to examine crony capitalism as a potential source of government activity that enhances economic productivity. In addition, we explore the conditions under which the government activity can instigate a financial crisis.
http://mural.maynoothuniversity.ie/8511/
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Cyclic interconnection for formation control of 1D vehicle strings
(2016)
Peters, Andrés A.; Middleton, Richard H.; Mason, Oliver
Cyclic interconnection for formation control of 1D vehicle strings
(2016)
Peters, Andrés A.; Middleton, Richard H.; Mason, Oliver
Abstract:
In this paper, we study a formation control scheme for a 1D string of vehicles. Each member tracks the movement of its immediate predecessor but also the first vehicle tracks the position of the last member of the string. We discuss conditions for the stability of the full interconnected system and show that if a constant spacing policy is used, the stability of the system is lost after the string size exceeds a certain number depending on the model parameters (vehicles and controllers). Additionally, we study the use of a constant time headway spacing policy. If the associated time headway parameter is greater than a critical value, the interconnected system is stable and string stable for any string size. Finally, we show that if an independent leader vehicle is added to the formation and every follower has access to this leader position, the cyclic formation with a constant spacing policy can be made stable and string stable by appropriately selecting a design parameter.
http://mural.maynoothuniversity.ie/10020/
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Diagonal Lyapunov–Krasovskii functionals for discretetime positive systems with delay
(2014)
Aleksandrov, Alexander; Mason, Oliver
Diagonal Lyapunov–Krasovskii functionals for discretetime positive systems with delay
(2014)
Aleksandrov, Alexander; Mason, Oliver
Abstract:
We consider the existence of diagonal Lyapunov–Krasovskii (L–K) functionals for positive discretetime systems subject to timedelay. In particular, we show that the existence of a diagonal functional is necessary and sufficient for delayindependent stability of a positive linear timedelay system. We extend this result and provide conditions for the existence of diagonal L–K functionals for classes of nonlinear positive timedelay systems, which are not necessarily order preserving. We also describe sufficient conditions for the existence of common diagonal L–K functionals for switched positive systems subject to timedelay.
http://mural.maynoothuniversity.ie/10024/
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Exponential stability of filters and smoothers for hidden markov models
(1998)
Shue, L; Anderson, B. D. O.; Dey, Subhrakanti
Exponential stability of filters and smoothers for hidden markov models
(1998)
Shue, L; Anderson, B. D. O.; Dey, Subhrakanti
Abstract:
In this paper, we address the problem of exponential stability of filters and fixedlag smoothers for discretetime and discretestate Hidden Markov Models (HMMs). By appealing to a generalised PerronFrobenius result for nonnegative matrices, we demonstrate exponential forgetting for both the recursive filters and smoothers, and obtain overbounds on the rate of forgetting. Simulation studies are carried out to substantiate the results.
http://mural.maynoothuniversity.ie/12732/
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Feedback Stabilization Over a First Order Moving Average Gaussian Noise Channel
(2009)
Middleton, Richard H.; Rojas, Alejandro J.; Freudenberg, James S.; Braslavsky, Julio H.
Feedback Stabilization Over a First Order Moving Average Gaussian Noise Channel
(2009)
Middleton, Richard H.; Rojas, Alejandro J.; Freudenberg, James S.; Braslavsky, Julio H.
Abstract:
Recent developments in information theory by Y.H. Kim have established the feedback capacity of a first order moving average additive Gaussian noise channel. Separate developments in control theory have examined linear time invariant feedback control stabilization under signal to noise ratio (SNR) constraints, including colored noise channels. This note considers the particular case of a minimum phase plant with relative degree one and a single unstable pole at z = ø(with ø >1) over a first order moving average Gaussian channel. SNR constrained stabilization in this case is possible precisely when the feedback capacity of the channel satisfies Cfb ≥ log2 ø. Furthermore, using the results of Kim we show that there exist linear encoding and decoding schemes that achieve stabilization within the SNR constraint precisely when Cfb ≥ log2 ø.
http://mural.maynoothuniversity.ie/1611/
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General Inertia and Circle Criterion
(2006)
Solmaz, Selim; Mason, Oliver; Shorten, Robert N.
General Inertia and Circle Criterion
(2006)
Solmaz, Selim; Mason, Oliver; Shorten, Robert N.
Abstract:
In this paper we extend the well known KalmanYacubovicPopov (KYP) lemma to the case of matrices with general regular inertia. We show that the version of the lemma that was derived for the case of pairs of stable matrices whose rank difference is one, extends to the more general case of matrices with regular inertia and in companion form. We then use this result to derive an easily verifiable spectral condition for a pair of matrices with the same regular inertia to have a common Lyapunov solution (CLS), extending a recent result on CLS existence for pairs of Hurwitz matrices that can be considered as a timedomain interpretation of the famous circle criterion.
http://mural.maynoothuniversity.ie/883/
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Highly selective and stable microdisc biosensors for lglutamate monitoring
(2013)
Govindarajan, Sridhar; McNeil, Calum J.; Lowry, John P.; McMahon, Colm P.; O'Neill...
Highly selective and stable microdisc biosensors for lglutamate monitoring
(2013)
Govindarajan, Sridhar; McNeil, Calum J.; Lowry, John P.; McMahon, Colm P.; O'Neill, Robert D.
Abstract:
Glutamate mediates most of the excitatory synaptic transmission in the brain, and its abnormal regulation is considered a key factor underlying the appearance and progression of many neurodegenerative and psychiatric diseases. In this work, a microdiscbased amperometric biosensor for glutamate detection with highly enhanced selectivity and good stability is proposed. The biosensor utilizes the enzyme glutamate oxidase which was dipcoated onto 125 um diameter platinum discs. To improve selectivity, phosphatidylethanolamine was precoated prior to enzyme deposition, and electropolymerization of ophenylenediamine was performed to entrap the enzyme within a polymer matrix. A variety of coating configurations were tested in order to optimize biosensor performance. For stability measurements, biosensors were biased continuously and calibration curves calculated each day for a period of 5–6 days. The optimized biosensors exhibited very high sensitivity (71 ± 1 mA M−1 cm−2), low detectio...
http://mural.maynoothuniversity.ie/7011/
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Input Disturbance Rejection in Channel SignaltoNoise Ratio Constrained Feedback Control
(2008)
Rojas, A.J.; Middleton, R.H.; Freudenberg, J.S.; Braslavsky, J.H.
Input Disturbance Rejection in Channel SignaltoNoise Ratio Constrained Feedback Control
(2008)
Rojas, A.J.; Middleton, R.H.; Freudenberg, J.S.; Braslavsky, J.H.
Abstract:
Communication channels impose a number of obstacles to feedback control. One recent line of work considers the problem of feedback stabilisation subject to a constraint on the channel signaltonoise ratio (SNR). It has been shown for continuoustime systems that the optimal control problem of achieving the infimal SNR can be formulated as a linear quadratic Gaussian (LQG) control problem with weights chosen as in the loop transfer recovery (LTR) technique. The present paper extends this formulation to: discretetime systems; communications over channels with memory; and input disturbance rejection. By using this formulation, we derive exact expressions for the linear time invariant (LTI) controller that achieves the infimal SNR under the effect of timedelay and additive coloured noise. We then quantify the infimal SNR required for both stabilisation and input disturbance rejection for a relative degree one, minimum phase plant and a memoryless Gaussian channel.
http://mural.maynoothuniversity.ie/2245/
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Long Run Macroeconomic and Sectoral Determinants of Systemic Banking Crises
(2015)
Wosser, Michael
Long Run Macroeconomic and Sectoral Determinants of Systemic Banking Crises
(2015)
Wosser, Michael
Abstract:
In a panel comprising 61 countries covering the years 19802010 we show that macroeconomic variables such as GDP and realinterest rates lose potency as systemic banking crisis determinants when estimated over a full business cycle and that the choice of panel timespan is of high relevance. Using a shorter panel (19982011) involving 75 countries, we show that sectoral variables such as Bank ZScore, privatecredittoGDP ratio, bank credittodeposit ratio and nonperforming loan levels represent an improved modelfit over their macroeconomicfocused counterparts, yielding improved insample crisis predictions. Whereas sectoralcentric models may overestimate the likelihood of systemic banking crises this does not constitute a model weakness if not overlooking embryonic crises is the key objective. Future research is facilitated via the establishment of a control cluster of determinants with both sectoral as well as macroeconomic constituents.
http://mural.maynoothuniversity.ie/6637/
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On Common Quadratic Lyapunov Functions for Pairs of Stable LTI Systems Whose System Matrices Are in Companion Form
(2003)
Shorten, Robert N.; Narendra, Kumpati S.
On Common Quadratic Lyapunov Functions for Pairs of Stable LTI Systems Whose System Matrices Are in Companion Form
(2003)
Shorten, Robert N.; Narendra, Kumpati S.
Abstract:
In this note, the problem of determining necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a pair of stable linear timeinvariant systems whose system matrices A1 and A2 are in companion form is considered. It is shown that a necessary and sufficient condition for the existence of such a function is that the matrix product A1A2 does not have an eigenvalue that is real and negative. Examples are presented to illustrate the result.
http://mural.maynoothuniversity.ie/1856/
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On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
(2007)
Mason, Oliver; Shorten, Robert N.
On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
(2007)
Mason, Oliver; Shorten, Robert N.
Abstract:
We consider the problem of common linear copositive Lyapunov function existence for positive switched linear systems. In particular, we present a necessary and sufficient condition for the existence of such a function for switched systems with two constituent linear timeinvariant systems. Several applications of this result are also given.
http://mural.maynoothuniversity.ie/1854/
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On the achievable delay margin using LTI control for unstable plants.
(2007)
Middleton, Richard H.; Miller, Daniel E.
On the achievable delay margin using LTI control for unstable plants.
(2007)
Middleton, Richard H.; Miller, Daniel E.
Abstract:
Handling delays in control systems is difficult and is of longstanding interest. It is well known that, given a finitedimensional linear timeinvariant (FDLTI) plant and controller forming a strictly proper stable feedback connection, closedloop stability will be maintained under a small delay in the feedback loop, although most closed loop systems become unstable for large delays. One previously unsolved fundamental problem in this context is whether, for a given FDLTI plant, an arbitrarily large delay margin can be achieved using LTI control. Here, we adopt a frequency domain approach and demonstrate that, for a strictly proper real rational plant, there is a uniform upper bound on the delay that can be tolerated when using an LTI controller, if and only if the plant has at least one closed right half plane pole not at the origin. We also give several explicit upper bounds on the achievable delay margin, and, in some special cases, demonstrate that these bounds are tight.
http://mural.maynoothuniversity.ie/1709/
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On the KalmanYakubovichPopov lemma and common Lyapunov solutions for matrices with regular inertia
(2007)
Mason, Oliver; Shorten, Robert N.; Solmaz, Selim
On the KalmanYakubovichPopov lemma and common Lyapunov solutions for matrices with regular inertia
(2007)
Mason, Oliver; Shorten, Robert N.; Solmaz, Selim
Abstract:
In this paper we extend the classical Lefschetz version of the KalmanYacubovichPopov (KYP) lemma to the case of matrices with general regular inertia. We then use this result to derive an easily verifiable spectral condition for a pair of matrices with the same regular inertia to have a common Lyapunov solution (CLS), extending a recent result on CLS existence for pairs of Hurwitz matrices.
http://mural.maynoothuniversity.ie/885/
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Optimal Signal to Noise Ratio in Feedback over Communication Channels with Memory
(2006)
Rojas, A.J.; Freudenberg, J.S.; Braslavsky, J.H.; Middleton, R.H.
Optimal Signal to Noise Ratio in Feedback over Communication Channels with Memory
(2006)
Rojas, A.J.; Freudenberg, J.S.; Braslavsky, J.H.; Middleton, R.H.
Abstract:
Communication channels impose a number of obstacles to feedback control, such as delay, noise, and constraints in communication datarate. One alternate line of recent work considers the problem of feedback stabilization subject to a constraint in the signaltonoise ratio (SNR). It has been shown for continuoustime systems that the optimal control problem arising in achieving minimal SNR can be formulated as a linear quadratic Gaussian (LQG) control problem with weights chosen as in the loop transfer recovery (LTR) technique. The present paper extends such LQG/LTR formulation to discretetime systems with feedback over channels with memory. By using such formulation, we derive exact expressions for the LTI controller and loop sensitivity functions that achieve minimal SNR under the effect of timedelay, non minimum phase zeros and colored additive noise. For the minimumphase case with white noise and no time delay, we show that the optimal feedback loop obtained after applying LTR...
http://mural.maynoothuniversity.ie/1789/
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Optimal triangular approximation for linear stable multivariable systems.
(2007)
Oyarzún, Diego A.; Salgado, Mario E.
Optimal triangular approximation for linear stable multivariable systems.
(2007)
Oyarzún, Diego A.; Salgado, Mario E.
Abstract:
This paper deals with the problem of obtaining a stable triangular approximation for a linear, square, stable, discretetime MIMO system. We solve this problem through an analytic procedure that yields an explicit solution of a convex optimization problem. The optimized quantity is the L2 norm of the relative modelling error. An interesting feature of the proposed methodology is that, if the MIMO system has nonminimum phase zeros near the stability boundary, then the derived approximation has, at least, a set of zeros close to them. The usefulness of our result comes mainly from its use as nominal model in triangular controller design procedures based on a triangular plant model.
http://mural.maynoothuniversity.ie/1746/
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