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Global stabilizability and observability imply semi-global stabilizability by output feedback. (English) Zbl 0820.93054
Nonlinear, continuous, finite-dimensional dynamical systems are considered. It is proved, that smooth global stabilizability and complete uniform observability are sufficient properties for semi-global output feedback stabilizability. The design procedure for a dynamic output feedback is presented. The proofs of the theorems are based on the concept of Lyapunov function. Moreover, some remarks and comments on the relationships between observability and different types of stabilizability are given. The results presented in the paper are connected with the methods given in [A. Tornambé, “Output feedback stabilization of a class of non-minimum phase nonlinear systems”, Syst. Control Lett. 19, No. 3, 193-204 (1992; Zbl 0763.93075)].

MSC:
93D15 Stabilization of systems by feedback
93B07 Observability
93C15 Control/observation systems governed by ordinary differential equations
93C10 Nonlinear systems in control theory
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