Abstract
The article studies the robust stability analysis problem of nonlinear switched systems with stable and unstable subsystems in continuous-time. First of all, the Takagi-Sugeno (T-S) fuzzy model is used to solve nonlinear problems in the switched systems with the help of local linear models under fuzzy rules. Then, adopting the multiple discontinuous Lyapunov functions (MDLFs) methods and mode-dependent average dwell time (MDADT) switching strategy, the sufficient conditions for robust stability of the switched systems are received. In addition, related corollaries of the system are obtained. Finally, a numerical simulation shows the effectiveness of the results.
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