Exponential synchronization of Markovian jumping complex dynamical networks with randomly occurring parameter uncertainties

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• 作者：Wuneng Zhou (1) (3)
  Anding Dai (1)
  Jun Yang (1)
  Huashan Liu (1)
  Xueliang Liu (2)
  
• 关键词：Exponential synchronization ; Complex dynamical network ; Markovian jumping ; Randomly occurring parameter uncertainty
• 刊名：Nonlinear Dynamics
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：78
• 期：1
• 页码：15-27
• 全文大小：1,259 KB
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• 作者单位：Wuneng Zhou (1) (3)
  Anding Dai (1)
  Jun Yang (1)
  Huashan Liu (1)
  Xueliang Liu (2)
  
  1. College of Computer Sciences and Technology, Donghua University, Shanghai, 聽201620, China
  3. Engineering Research Center of Digitized Textile & Fashion Technology, Ministry of Education, Donghua University, Shanghai, 聽201620, China
  2. School of Electronic Engineering, Dongguan University of Technology, Dongguan, 聽523808, China
  
• ISSN：1573-269X

文摘

This paper investigates the mean-square exponential synchronization problem of complex dynamical networks with Markovian jumping and randomly occurring parameter uncertainties. The considered Markovian transition rates are assumed to be partially unknown. The parameter uncertainties are considered to be random occurrence and norm-bounded, and the randomly occurring parameter uncertainties obey certain Bernoulli-distributed white noise sequences. Based on the Lyapunov method and stochastic analysis, by designing mode-dependent feedback controller, some sufficient conditions are presented to ensure the mean-square exponential synchronization of Markovian jumping complex dynamical networks with partly unknown transition rates and randomly occurring parameter uncertainties. Numerical examples are given to demonstrate the validity of the theoretical results.