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.
|Fræðitímarit||Proceedings of the IEEE Conference on Decision and Control|
|Útgáfustaða||Útgefið - 2014|
|Viðburður||2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, Bandaríkin|
Tímalengd: 15 des. 2014 → 17 des. 2014
© 2014 IEEE.