Brief paper: Lyapunov-based stability analysis automated by genetic programming

Authors:
Benyamin Grosman;Daniel R. Lewin
Affiliations:
PSE Research Group, Department of Chemical Engineering, Technion, Haifa 32000, Israel;PSE Research Group, Department of Chemical Engineering, Technion, Haifa 32000, Israel
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 2
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Paper: Maximal lyapunov functions and domains of attraction for autonomous nonlinear systems

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Numerical approach to Lyapunov's stability analysis of nonlinear systems using threshold accepting algorithms

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Abstract

This contribution describes an automatic technique to detect suitable Lyapunov functions for nonlinear systems. The theoretical basis for the work is Lyapunov's Direct Method, which provides sufficient conditions for stability of equilibrium points. In our proposed approach, genetic programming (GP) is used to search for suitable Lyapunov functions, that is, those that best predict the true domain of attraction. In the work presented here, our GP approach has been extended by defining a target function accounting for the Lyapunov function level sets.