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Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System

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  • Zhenyi Ji
  • Wenyuan Wu
  • Yong Feng
  • Guofeng Zhang

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.

Suggested Citation

  • Zhenyi Ji & Wenyuan Wu & Yong Feng & Guofeng Zhang, 2013. "Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, December.
    • Handle: RePEc:hin:jnljam:859578
    DOI: 10.1155/2013/859578
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