Abstract
In this paper, the stability problem of discrete-time switched nonlinear systems is considered. The fast and slow Φ-dependent average dwell time switchings are first presented. By developing a multiple Lyapunov functions approach, the general stability results are derived with a designed switching law, where fast and slow switchings are applied to deal with unstable and stable modes, respectively. A Takagi–Sugeno (T–S) fuzzy model is used for approximating discrete-time switched nonlinear systems, and stability conditions of the switched T–S fuzzy model are also built under fast and slow Φ-dependent average dwell time switchings. Finally, a numerical example is given to demonstrate the validity and correctness of our proposed method.
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