Abstract
In this paper, the notion of the input/output-to-state stability (IOSS) is extended to the case of the input/output-to-V (x) stability (IOVS), which implies detectability of the zero-value set of a storage function. Based on this notion and the notion of passivity of nonlinear systems, we propose and prove sufficient conditions under which an invariant state set of a class of switched nonlinear systems can be stabilized by output feedback. Then we show that a nonlinear system is IOVS if V(x) is an IOSS-Lyapunov function of the system.
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