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A Lyapunov functional for a neutral system with a distributed time delay

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  • Duda, Jozef

Abstract

In this paper a Lyapunov functional determination method for a linear neutral system with both lumped and distributed time delay is formulated and solved. A form of a Lyapunov functional is assumed and a computing method of its coefficients is given. The Lyapunov functional is constructed for a given time derivative which is calculated on a trajectory of a neutral system with both lumped and distributed time delay. The presented method gives analytical formulas for the Lyapunov functional coefficients. An example illustrating the application of discussed theory is presented.

Suggested Citation

  • Duda, Jozef, 2016. "A Lyapunov functional for a neutral system with a distributed time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 119(C), pages 171-181.
    • Handle: RePEc:eee:matcom:v:119:y:2016:i:c:p:171-181
    DOI: 10.1016/j.matcom.2015.08.001
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    Cited by:

    1. Duda, Jozef, 2017. "Lyapunov matrices approach to the parametric optimization of a neutral system with two delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 136(C), pages 22-35.
    2. Liu, Ping & Fu, Zao & Cao, Jinde & Wei, Yun & Guo, Jianhua & Huang, Wei, 2020. "A decentralized strategy for generalized Nash equilibrium with linear coupling constraints," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 221-232.

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