Finite time stability and stabilization of a class of continuous systems |
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Authors: | Emmanuel Moulay Wilfrid Perruquetti |
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Institution: | a Laboratoire Paul Painlevé (UMR-CNRS 8524), UFR de Mathématiques, Université des Sciences et Technologies de Lille, France b LAGIS (UMR-CNRS 8146), École centrale de Lille, Cité Scientifique, 59651 Villeneuve d'Ascq cedex, France |
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Abstract: | Finite time stability is investigated for continuous system which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition for finite time stability is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk-affine systems involving a class CL0-settling-time function for the closed-loop system. Finally an explicit feedback control is addressed by using a control Lyapunov function verifying a certain inequality. |
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Keywords: | Finite time stability Lyapunov functions Finite time stabilization Control Lyapunov function |
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