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Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations

Author

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  • Qian Xie
  • Changhui Mu
  • Tong Wang
  • Gang Wu
  • Rong Jia

Abstract

Two nonidentical dimension Markovian jumping complex networks with stochastic perturbations are taken as objects. The network models under two conditions including single weight and double weights are established, respectively, to study the problem of synchronization and identification. A finite-time projection lag synchronization method is proposed and the unknown parameters of the network are identified. First of all, based on Itô’s formula and the stability theory of finite-time, a credible finite-time adaptive controller is presented to guarantee the synchronization of two nonidentical dimension Markovian jumping complex networks with stochastic perturbations under both conditions. Meanwhile, in order to identify the uncertain parameters of the network with stochastic perturbations accurately, some corresponding sufficient conditions are given. Finally, numerical simulations under two working conditions are given to demonstrate the effectiveness and feasibility of the main theory result.

Suggested Citation

  • Qian Xie & Changhui Mu & Tong Wang & Gang Wu & Rong Jia, 2020. "Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations," Complexity, Hindawi, vol. 2020, pages 1-25, April.
    • Handle: RePEc:hin:complx:9713652
    DOI: 10.1155/2020/9713652
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    Cited by:

    1. Wang, Jie & Chen, Xin, 2023. "H∞ consensus for stochastic Markov jump multi-agent systems with imperfect time-varying transition probabilities and multiplicative noise," Applied Mathematics and Computation, Elsevier, vol. 436(C).

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