Dynamical Systems Seminar

主講者: 黃煜教授 (廣州中山大學)
講題: Stability of discrete-time switched linear systems I: A topological point of view
時間: 2009-06-24 (Wed.)  15:00 - 16:00
地點:
Abstract: We study the stability of switched linear systems via symbolic topology formulation and the multiplicative ergodic theorem. Sufficient and necessary condition for \mu_A-almost sure stability is derived, where \mu_A is the Parry measure of the topological Markov chain with a prescribed transition (0,1)-matrix A. The obtained \mu_A-almost sure stability is invariant under small perturbations of the system. The topological description of stable processes of switched linear systems in terms of Hausdorf dimension is given, and it is shown that our approach captures the maximal set of stable processes for linear switched systems. The obtained results cover the stochastic Markov jump linear systems, where the measure is the natural Markov measure defined by the transition probability matrix. 
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