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Finite-Time Passivity of Stochastic Coupled Complex Networks

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  • Xunwu Yin
  • Min Cao
  • A. E. Matouk

Abstract

The finite-time passivity problem is, respectively, investigated for stochastic coupled complex networks (SCCNs) with and without time-varying delay. Firstly, we present several new concepts about finite-time passivity in the sense of expectation on the basis of existing passivity definition. By designing appropriate controllers, the finite-time passivity of SCCNs with and without time-varying delay is obtained. In addition, the definition of finite-time synchronization in the sense of expectation is proposed. Under some sufficient conditions and designed controllers, finite-time passivity derives finite-time synchronization. Finally, two examples are given to demonstrate the effectiveness of finite-time passive and synchronization criteria.

Suggested Citation

  • Xunwu Yin & Min Cao & A. E. Matouk, 2021. "Finite-Time Passivity of Stochastic Coupled Complex Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-12, July.
    • Handle: RePEc:hin:jnddns:9905125
    DOI: 10.1155/2021/9905125
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