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

Björnsson, J, Giesl, P, Hafstein, S, Kellett, C M and Li, H (2014) Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction. In: 2014 IEEE 53rd Annual Conference on Decision and Control (CDC). IEEE, pp. 5506-5511. ISBN 9781479977468

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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.

Item Type: Book Section
Additional Information: Conference: 15-17 Dec 2014, Los Angeles, California
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Peter Giesl
Date Deposited: 17 Jun 2015 08:46
Last Modified: 17 Jun 2015 08:46
URI: http://sro.sussex.ac.uk/id/eprint/54587
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