A novel LMI-based optimization algorithm for the guaranteed estimation of the domain of attraction using rational Lyapunov functions. (English) Zbl 1269.34062
Summary: 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.
MSC:
| 34D20 | Stability of solutions to ordinary differential equations |
| 34D08 | Characteristic and Lyapunov exponents of ordinary differential equations |
Keywords:
rational Lyapunov functions; LMI-optimization; domains of attraction; stability of nonlinear systemsReferences:
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