Stability analysis of two-dimensional switched non-linear continuous-time systems

摘要

This study addresses the problem of stability analysis of two-dimensional (2-D) switched non-linear continuous-time systems based on the Roesser model. First, two sufficient conditions for asymptotic stability of 2-D switched non-linear systems are established via the methods of common Lyapunov function and multiple Lyapunov functions, respectively. Then, the definitions of dwell time and average dwell time in one-dimensional switched systems are extended to the 2-D case, a stability criterion is proposed for the 2-D switched non-linear system with average dwell time switching. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed results.