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Global stabilization by output feedback: Examples and counterexamples. (English) Zbl 0816.93068

The authors give an example of a nonlinear dynamical control system with a dynamical output feedback such that, for an appropriate choice of the initial conditions and for any choice of the controller, the closed loop system has an unmeasured state with the finite escape time property. This example describes a phenomenon which is an obstruction to global stabilization by dynamic output feedback. Moreover, the system under consideration is globally state feedback stabilizable and completely observable.

MSC:

93D15 Stabilization of systems by feedback
93B07 Observability
93C10 Nonlinear systems in control theory
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References:

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