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Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays

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  • Shun-Yan Ren
  • Yue-Hui Zhao

Abstract

This paper proposes a new complex dynamical network model, in which the state, input, and output variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several criteria for passivity and global exponential stability are established. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Shun-Yan Ren & Yue-Hui Zhao, 2014. "Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, September.
    • Handle: RePEc:hin:jnlmpe:412169
    DOI: 10.1155/2014/412169
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    Cited by:

    1. Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.

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