Stabilization of stationary affine control systems with discrete time |
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Authors: | V. A. Zaitsev |
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Affiliation: | 1.Udmurt State University,Izhevsk,Russia |
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Abstract: | We obtain new sufficient conditions for the local and global asymptotic stabilization of the zero solution of a nonlinear affine control system with discrete time and with constant coefficients by a continuous state feedback. We assume that the zero solution of the free system is Lyapunov stable. For systems with linear drift, we construct a bounded control in the problem of global asymptotic state and output stabilization. Corollaries for bilinear systems are obtained. |
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