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Indefinite Lyapunov functions for p-th moment input-to-state stability of stochastic systems with Markovian switching

机译:具有马尔可夫切换的随机系统的p阶矩输入状态稳定性的不确定Lyapunov函数

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摘要

The p-th moment input-to-state stability and the p-th moment integral input-to-state stability of stochastic system with Markovian switching are investigated in this paper. To weaken the condition required by the classical Lyapunov stability theory, a novel comparison theorem is introduced, which makes infinitesimal operator of Lyapunov functions be able to take both positive and negative. A numerical example shows the effectiveness and advantages of the proposed results.
机译:研究了具有马尔可夫切换的随机系统的p阶矩输入状态稳定性和p阶矩积分输入状态稳定性。为了弱化经典Lyapunov稳定性理论所要求的条件,引入了一个新的比较定理,该定理使Lyapunov函数的无穷小算子能够同时取正值和负值。数值算例表明了所提出结果的有效性和优势。

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