Far East Journal of Dynamical Systems
Volume 15, Issue 1, Pages 1 - 20
(January 2011)
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STABILITY CONDITIONS OF POLYTOPIC UNCERTAIN SWITCHED LINEAR SYSTEMS WITH SIMULTANEOUSLY DIAGONALIZABLE VERTEX MATRICES
Naohisa Otsuka, Keiichiro Nakashima and Talip Atajan
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Abstract: In this paper, we study stability conditions for both continuous-time and discrete-time switched linear systems that are composed of polytopic uncertain subsystems. Under the assumption that all vertex matrices of state coefficient polytopic matrices of the subsystems are simultaneously diagonalizable, necessary and sufficient conditions for the switched linear systems to be asymptotically stable are given in terms of eigenvalues of the vertex matrices and the dwell time of the subsystems. Further, some illustrative numerical examples are investigated. |
Keywords and phrases: switched linear systems, polytopic uncertain matrix, simultaneously diagonalizable matrices. |
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