Abstract
The problem of global (local) stabilizability of an invariant set of passive nonlinear controlled system is considered. New notion of detectability of the zero value set of a storage function is introduced. It is shown that this property plays a fundamental role in solving of invariant set stabilization problems and in defining the global (local) stabilizing regulator. Sufficient conditions, implying that passive nonlinear system has a detectable zero value set for a smooth storage function, are proposed.
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