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A global attractivity result for a class of switching discrete-time systems
Solmaz, Selim; Shorten, Robert N.; Ó Cairbre, Fiacre
In this paper we present the global attractivity properties of a class of discrete-time switching systems of the form x(k+1)=Aix(k), Ai A , {A1, ...,Am}, where each constituent matrices Ai Rnn are Schur stable. We show that for a special subset of such switching systems the origin is globally attractive, and it is possible to prove this without requiring the existence of a common quadratic Lyapunov function (CQLF).
Keyword(s): Hamilton Institute; Mathematics & Statistics
Publication Date:
2007
Type: Conference item
Peer-Reviewed: Yes
Contributor(s): Solmaz, Selim; Shorten, Robert; O'Cairbre, Fiacre
Institution: Maynooth University
Citation(s): Solmaz, Selim and Shorten, Robert N. and Ó Cairbre, Fiacre (2007) A global attractivity result for a class of switching discrete-time systems. In: Proceedings of the American Control Conference, July 2007, New York.
File Format(s): application/pdf
Related Link(s): http://eprints.maynoothuniversity.ie/888/1/Discrete_PT_switched_sys_result_final.pdf
First Indexed: 2014-09-20 05:09:01 Last Updated: 2018-10-12 06:50:57