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A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback. (English) Zbl 1113.93087
Summary: We introduce a generalized framework for global output feedback stabilization of a class of uncertain, inherently nonlinear systems of a particularly complex nature since their linearization around the equilibrium is not guaranteed to be either controllable or observable. Based on a new observer/controller construction and a homogeneous domination design, this framework not only unifies the existing output feedback stabilization results, but also leads to more general results which have been never achieved before, establishing this methodology as a universal tool for the global output feedback stabilization of inherently nonlinear systems.

MSC:
93D15 Stabilization of systems by feedback
93B52 Feedback control
93C10 Nonlinear systems in control theory
93C41 Control/observation systems with incomplete information
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