Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, December 9-12, 2003.

Abstract --In this paper, discrete-time switched linear systems affected by both parameter variations and exterior disturbances are considered. The problem of synthesis of switching control
laws, which assure that the system state is ultimately bounded within a given compact set containing the origin with an assigned rate of convergence, is investigated. The method is based on set-induced Lyapunov functions. Based on these Lya-punov functions, we compose a global Lyapunov function which guarantees ultimate boundedness for the switched system. The switching laws are characterized by computing conic partitions of the state space.

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