Stabilization of sector-bounded switched nonlinear systems with all unstable modes

This paper will study the global stabilization for a class of sector-bounded switched nonlinear systems with features: (i) all subsystems are allowed to be unstable; (ii) the nonlinear functions belong to sector sets with arbitrary boundaries, which cover the most general case since the sector boundaries can have positive and/or negative slopes; (iii) systems matrices are constant ones without any restrictions. The stabilization criteria for switched nonlinear systems with mode-dependent dwell time are firstly derived. Then, for a class of sector-bounded switched nonlinear systems, sufficient conditions for stabilization are presented to guarantee that the switched system can be globally stabilized by designing stabilizing switching signal in the framework of mode-dependent dwell time scheme.