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Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction
Abstract : The numerical construction of Lyapunov functions provides useful information on system behavior. In the Continu-ous and Piecewise Affine (CPA) method, linear programming is used to parameterize 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 parameterize the CPA Lyapunov function based on a Lyapunov function in a converse Lyapunov theorem by Yoshizawa. In this paper we propose parameterizing CPA Lyapunov functions using a Lyapunov function construction in a classic converse Lyapunov theorem by Massera. We provide the theory for such a parameterization and present several examples to illustrate the utility of this approach.
Cited literature [23 references]
https://hal.inria.fr/hal-01098274
Contributor : Estelle Bouzat <>
Submitted on : Tuesday, December 23, 2014 - 3:34:26 PM
Last modification on : Thursday, March 12, 2020 - 1:38:01 PM
Long-term archiving on: : Tuesday, March 24, 2015 - 10:41:18 AM
Contributor : Estelle Bouzat <>
Submitted on : Tuesday, December 23, 2014 - 3:34:26 PM
Last modification on : Thursday, March 12, 2020 - 1:38:01 PM
Long-term archiving on: : Tuesday, March 24, 2015 - 10:41:18 AM
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Li_etal_Massera_2014.pdf
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