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A global attractivity result for a class of switching discrete-time systems

Solmaz, Selim and Shorten, Robert and O'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).

Subjects:Science & Engineering > Hamilton Institute
Science & Engineering > Mathematics
ID Code:888
Deposited By:Selim Solmaz
Deposited On:29 Jan 2008
Refereed:Yes
URL:http://www.hamilton.ie/selim/index.html, http://www.hamilton.ie/publications.htm

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