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This paper focuses on the robust stochastic stability and robust \(H_2\) performance for Markovian jump systems with uncertain transition probabilities. The stability criterion is transformed into a matrix non-singular problem, some conditions for robust stochastic stability of continuous and discrete systems are derived respectively. Based on the definition of \(H_2\) norm of linear Markovian jump systems, the equivalent matrix expression is obtained, thereby deriving the conditions for the system to satisfy \(H_2\) performance and the bound of \(H_2\) norm.

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The Robust \(H_2\) Performance of Uncertain Markovian Jump Systems

  • 会议论文

  • 发表日期：

    2025年

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  • Xueliang Liu,
  • Yangxuan Li,
  • Zhen Zhu,
  • Qing-Hao Zhang,
  • Jun-Guo Lu,
  • Jiarong Li

摘要

This paper focuses on the robust stochastic stability and robust \(H_2\) performance for Markovian jump systems with uncertain transition probabilities. The stability criterion is transformed into a matrix non-singular problem, some conditions for robust stochastic stability of continuous and discrete systems are derived respectively. Based on the definition of \(H_2\) norm of linear Markovian jump systems, the equivalent matrix expression is obtained, thereby deriving the conditions for the system to satisfy \(H_2\) performance and the bound of \(H_2\) norm.