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Impulsive stabilization of nonlinear systems. (English) Zbl 0789.93101

Summary: We investigate the impulsive stabilization of nonlinear systems by employing Lyapunov’s direct method. Sufficient conditions for both stabilization and destabilization are obtained. Some examples are also worked out which demonstrate the sharpness of the conditions.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C10 Nonlinear systems in control theory
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