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Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction

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2014

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Abstract

The numerical construction of Lyapunov functions provides useful information on system behavior. In the Continuous and Piecewise Affine (CPA) method, linear programming is used to compute a CPA Lyapunov function for continuous nonlinear systems. This method is relatively slow due to the linear program that has to be solved. A recent proposal was to compute the CPA Lyapunov function based on a Lyapunov function in a converse Lyapunov theorem by Yoshizawa. In this paper we propose computing CPA Lyapunov functions using a Lyapunov function construction in a classic converse Lyapunov theorem by Massera. We provide the theory for such a computation and present several examples to illustrate the utility of this approach.

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https://dspace-test.anu.edu.au/handle/1885/733744146

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DevOps Pure Testing

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Conference contribution

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DOI

10.1109/CDC.2014.7040250

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