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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.