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Stability Analysis of Complex-Valued Nonlinear Differential System

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  • Tao Fang
  • Jitao Sun

Abstract

This paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given. Those derived stability criteria not only provide a new method to analyze complex-valued differential system, but also greatly reduce the complexity of analysis and computation.

Suggested Citation

  • Tao Fang & Jitao Sun, 2013. "Stability Analysis of Complex-Valued Nonlinear Differential System," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, May.
    • Handle: RePEc:hin:jnljam:621957
    DOI: 10.1155/2013/621957
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    Cited by:

    1. Wang, Zengyun & Liu, Xinzhi, 2019. "Exponential stability of impulsive complex-valued neural networks with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 143-157.

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