Abstract
This paper investigates the stabilization problem for switched linear systems with all modes unstable via designing switching laws. By introducing an associated system whose stability ensures that the original switched system is stable, novel sufficient conditions for the stability of switched systems are proposed. Based on the obtained stability conditions, an effective periodical switching law design strategy is proposed. Compared with the existing strategies which analyze the stability based on the preset dwell time, the admissible dwell times for different subsystems can be calculated efficiently based on the proposed stability conditions. Finally, two examples are provided to illustrate the effectiveness of the proposed strategy.
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