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2013 Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System
Zhenyi Ji, Wenyuan Wu, Yong Feng, Guofeng Zhang
J. Appl. Math. 2013: 1-5 (2013). DOI: 10.1155/2013/859578

Abstract

We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative. Then, the positive polynomial system is converted into an equation system by adding some variables. Finally, numerical technique is applied to solve the equation system. Some experiments show the efficiency of our new algorithm.

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Zhenyi Ji. Wenyuan Wu. Yong Feng. Guofeng Zhang. "Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System." J. Appl. Math. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/859578

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950912
MathSciNet: MR3145018
Digital Object Identifier: 10.1155/2013/859578

Rights: Copyright © 2013 Hindawi

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