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.

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Abstract

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).

Item Type:	Conference or Workshop Item (Other)
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	888
Depositing User:	Selim Solmaz
Date Deposited:	29 Jan 2008
Refereed:	Yes
URI:	http://www.hamilton.ie/selim/index.html http://www.hamilton.ie/publications.htm
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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• A global attractivity result for a class of switching discrete-time systems. (deposited 30 Jan 2008)
  • A global attractivity result for a class of switching discrete-time systems. (deposited 29 Jan 2008) [Currently Displayed]

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