Passivity, feedback equivalence and stability of switched nonlinear systems using multiple storage functions

In this paper, we address the issues of passivity, feedback equivalence and stability for switched nonlinear systems via a multiple storage function method. Since the storage function of each subsystem may jump at the switched on time sequences, we present a concept of generalized passivity for switched systems by multiple storage-like functions. Based on this, the conditions for the passivity of switched nonlinear systems is given. Furthermore, the problem of feedback passivation and the passivity based stability of switched nonlinear systems are investigated.