Finite-time stabilization of a class of cascade nonlinear switched systems under state-dependent switching

This paper investigates finite-time stabilization (FTS) problem for a class of cascade nonlinear switched systems. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, largest region function strategy, i.e., state-dependent switching strategy, is adopted to design the switching signal. Based on multiple Lyapunov-like functions method, sufficient conditions for FTS of cascade nonlinear switched systems are derived and the corresponding sliding motion problems are also considered. Finally, an example is given to illustrate the applicability and the effectiveness of the proposed method.