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Semi-global finite-time observers for nonlinear systems. (English) Zbl 1153.93332
Summary: It is well known that high gain observers exist for single output nonlinear systems that are uniformly observable and globally Lipschitzian. Under the same conditions, we show that these systems admit semi-global and finite-time converging observers. This is achieved with a derivation of a new sufficient condition for local finite-time stability, in conjunction with applications of geometric homogeneity and Lyapunov theories.

MSC:
93B07Observability
93C15Control systems governed by ODE
93C10Nonlinear control systems
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References:
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