- Title
- Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction
- Creator
- Björnsson, Jóhann; Giesl, Peter; Hafstein, Sigurdur; Kellett, Christopher M.; Li, Huijuan
- Relation
- 2014 IEEE 53rd Annual Conference on Decision and Control (CDC). Proceedings from 2014 IEEE 53rd Annual Conference on Decision and Control (Los Angeles, CA 15-17 December, 2014) p. 5506-5511
- Relation
- Australian Research Council Future Fellowship.FT1101000746
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2014.7040250
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2014
- Description
- 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.
- Subject
- Lyapunov methods; approximation theory; continuous systems; linear programming; nonlinear control systems; asymptotic stability; educational institutions; extraterrestrial measurements; vectors
- Identifier
- http://hdl.handle.net/1959.13/1067820
- Identifier
- uon:18489
- Identifier
- ISBN:9781479977468
- Language
- eng
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