Abstract
This work is concerned with stability and control for continuous-time switched systems with asynchronous switching. The persistent dwell time (PDT) switching is used to model the asynchronous characteristic in switched systems. Compared with the common dwell time or average dwell time switching widely studied in the existing literature, the PDT switching is known to be more general. The stability and L2-gain analysis are derived firstly for the switched system with PDT switching, and the Lyapunov-like function is allowed to increase during the mismatched period between the controller and the system mode. Then, the corresponding controller design scheme is proposed. Finally, the effectiveness of the provided method is illustrated with two examples.
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