<p>This article investigates static output feedback synchronization control for hidden Markov jump complex dynamic networks. The continuous hidden Markov jump model is adopted to solve the random changes of network topology and the asynchronous phenomenon between topology mode and controller mode. In order to reduce the use of some redundant data and consider the situation that the system state is unavailable, a sampled-data controller is designed via the output information. Then, combined with some integral inequality techniques, some sufficient conditions are established to ensure that the synchronization error system is stochastically stable while also satisfying an <i>H</i><sub>∞</sub> performance index. Finally, numerical and practical examples are provided to validate the effectiveness of the theoretical results.</p>

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H Synchronization for Hidden Markov Jump Complex Dynamical Networks Based on Sampled Data

  • Shen Zhang,
  • Cheng Fan,
  • Lei Su,
  • Jun Zhang,
  • Tian Fang

摘要

This article investigates static output feedback synchronization control for hidden Markov jump complex dynamic networks. The continuous hidden Markov jump model is adopted to solve the random changes of network topology and the asynchronous phenomenon between topology mode and controller mode. In order to reduce the use of some redundant data and consider the situation that the system state is unavailable, a sampled-data controller is designed via the output information. Then, combined with some integral inequality techniques, some sufficient conditions are established to ensure that the synchronization error system is stochastically stable while also satisfying an H performance index. Finally, numerical and practical examples are provided to validate the effectiveness of the theoretical results.