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Asymptotic feedback stabilization: A sufficient condition for the existence of control Lyapunov functions |
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| Authors: | J Tsinias |
| Affiliation: | Department of Mathematics, National Technical University, Zografou Campus, 15773, Athens, Greece |
| Abstract: | In this paper we study the feedback stabilization problem for a wide class of nonlinear systems that are affine in the control. We offer sufficient conditions for the existence of ‘Control Lyapunov functions’ that according to 3,23] and 28–30] guarantee stabilization at a specified equilibrium by means of a feedback law, which is smooth except possibly at the equilibrium. We note that the results of the paper present a local nature. |
| Keywords: | Nonlinear systems control Lyapunov functions state feedback asymptotic stabilization |
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