| Switched systems are a kind of special hybrid systems,the stability problem of systems has been a research topic in related fields.In this paper,the stability problems of several switched systems are considered.In Chapter 1,some relevant research backgrounds,system descriptions and preliminary knowledge needed to carry out this study are given.In Chapter 2,the stability problem of impulsive switched singular systems with stable and unstable subsystems is considered based on the ?-dependent average dwell time strategy.By the multiple discontinuous Lyapunov functions method,some stability criteria of the studied systems are obtained.Compared with the existing results,the obtained results have lower conservatism and better practicability.The average dwell time and mode-dependent average dwell time strategies that are discussed in many works can also be unified to the ?-dependent average dwell time strategy.Based on the ?-dependent average dwell time strategy,some stability results of some other types switched systems are given.In Chapter 3,the stability problem of switched singular systems with stable and unstable subsystems is discussed based on the limit ?-dependent average dwell time strategy.By using the multiple discontinuous Lyapunov functions approach,some stability criteria of the studied systems are obtained.Those results obtained contain the corresponding ones based on the average dwell time,limiting average dwell time and mode-dependent average dwell time switchings.In Chapter 4,the stability problem of switched linear systems with time-varying delays is discussed.Based on the ?-dependent average dwell time strategy,some stability criteria of the studied systems are obtained.In Chapter 5,the stability problem of totally positive switched linear systems is discussed.By the mode-dependent average dwell time strategy and multiple linear copositive Lyapunov function approach,several exponential stability results of totally positive switched linear systems are obtained. |
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