On stability of a class of switched nonlinear systems

This note is focused on the stability analysis for a class of switched nonlinear systems with disturbance input and delay. Sufficient conditions in terms of linear inequalities are presented such that the switched system is asymptotically stable for arbitrary switching, any admissible sector nonlinearities and disturbances, and any constant delay. We not only drop a condition of one result given in Aleksandrov, Chen, Platonov, and Zhang (2011), but also extend the main result to a more general switched nonlinear system with disturbance input and delay.