Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems

Min Wu, Zhengfeng Yang and Wang Lin

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems. A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear systems efficiently. A numerical Lyapunov function and an estimate of region of attraction can be obtained by solving an (bilinear) SOS programming via BMI solver, then the modified Newton refinement and rational vector recovery techniques are applied to obtain exact Lyapunov functions and verified estimates of regions of attraction with rational coefficients. Experiments on some benchmarks are given to illustrate the efficiency of our algorithm.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:146137

DOI: 10.1155/2013/146137

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