A novel LMI-based optimization algorithm for the guaranteed estimation of the domain of attraction using rational Lyapunov functions |
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| Authors: | O Hachicho |
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| Institution: | Faculty of Civil Engineering, Mechanical Engineering, Safety Engineering, University of Wuppertal, D-42097 Wuppertal, Germany |
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| Abstract: | In this article we deal with the classical problem of estimating the domain of attraction (DOA) of autonomous dynamical systems. We propose a new LMI estimation method based on recent results from the mathematical theory of moments. In contrast to previous works we exploit the advantages of rational Lyapunov functions to enhance the estimates. Several examples illustrate the estimation method. |
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| Keywords: | Rational Lyapunov functions LMI-optimization Domains of attraction Stability of nonlinear systems |
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