Stabilization of continuous-time switched nonlinear systems |
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| Authors: | Patrizio Colaneri, Jos C. Geromel,Alessandro Astolfi |
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| Affiliation: | aDipartimento di Elettronica e Informazione, Politecnico di Milano, Piazza leonardo da Vinci 32, Milano, Italy;bDSCE / School of Electrical and Computer Engineering, UNICAMP, CP 6101, 13083 - 970 Campinas, SP, Brazil;cDepartment of Electrical and Electronic Engineering, Imperial College London, Exhibition Road, London SW7 2AZ, UK;dDISP, University of Rome Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy |
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| Abstract: | The paper considers three problems for continuous-time nonlinear switched systems. The first result of this paper is a open-loop stabilization strategy based on dwell time computation. The second considers a state switching strategy for global stabilization. The strategy is of closed loop nature (trajectory dependent) and is designed from the solution of what we call nonlinear Lyapunov–Metzler inequalities from which the stability condition is expressed. Finally, results on the stabilization of nonlinear time varying polytopic systems are provided. |
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| Keywords: | Switched systems Stability Stabilization |
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