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<p>This paper investigates the <i>p</i>-moment stability and stabilization problems of an inhomogeneous Markov jump linear system (MJLS) with time-varying and unknown transition probabilities. First, several technical lemmas are established to solve the <i>p</i>-moment stability/stabilization of MJLS. Then, <i>p</i>-moment stability is explored for even integer <i>p</i> and any real number <i>p</i> &gt; 0, and mode-dependent state-feedback control laws are designed to ensure the <i>p</i>-moment stability. Finally, two illustrative examples have been provided to verify the analytical results obtained.</p>

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p-moment stabilization of inhomogeneous Markov jump linear systems with time-varying transition probabilities

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • Jiamin Liu,
  • Zhao-Yan Li,
  • Feiqi Deng

摘要

This paper investigates the p-moment stability and stabilization problems of an inhomogeneous Markov jump linear system (MJLS) with time-varying and unknown transition probabilities. First, several technical lemmas are established to solve the p-moment stability/stabilization of MJLS. Then, p-moment stability is explored for even integer p and any real number p > 0, and mode-dependent state-feedback control laws are designed to ensure the p-moment stability. Finally, two illustrative examples have been provided to verify the analytical results obtained.