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

Johann Bjornsson, Peter Giesl, Sigurdur Hafstein, Christopher M. Kellett, Huijuan Li

Rannsóknarafurð: Framlag til fræðitímaritsRáðstefnugreinritrýni

19 Tilvitnanir (Scopus)

Útdráttur

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.

Upprunalegt tungumálEnska
Númer greinar7040250
Síður (frá-til)5506-5511
Síðufjöldi6
FræðitímaritProceedings of the IEEE Conference on Decision and Control
Bindi2015-February
Númer tölublaðsFebruary
DOI
ÚtgáfustaðaÚtgefið - 2014
Viðburður2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, Bandaríkin
Tímalengd: 15 des. 201417 des. 2014

Athugasemd

Publisher Copyright:
© 2014 IEEE.

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