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首页> 外文期刊>Circuits, systems, and signal processing >Stochastic Stabilization of Discrete-Time Markov Jump Systems with Generalized Delay and Deficient Transition Rates
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Stochastic Stabilization of Discrete-Time Markov Jump Systems with Generalized Delay and Deficient Transition Rates

机译：具有广义时滞和转移率不足的离散马尔可夫跳跃系统的随机镇定

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摘要

In this paper, the problem of mode-dependent state feedback controller design is studied for discrete-time Markov jump systems with generalized delay and deficient transition rates. The time delay under consideration is subject to mode-dependent and time-varying, and the transition probabilities of the jumping process are assumed to be partially accessible. By utilizing some novel summation inequalities, and by constructing an improved Lyapunov-Krasovskii functional which comprises a mode-dependent quadratic functional and some single, double and triple summation terms, delay-dependent stabilization conditions are derived in terms of tractable linear matrix inequalities. Two numerical examples are given to illustrate the effectiveness of the proposed conditions.
机译：本文研究了广义时滞和过渡速率不足的离散时间马尔可夫跳跃系统的模式依赖状态反馈控制器设计问题。所考虑的时间延迟取决于模式和时变，并且假定跳跃过程的转移概率是部分可访问的。通过利用一些新颖的求和不等式，并通过构造一个改进的Lyapunov-Krasovskii泛函，该泛函包括一个依赖于模式的二次泛函以及一些单，双和三和求和项，根据可处理的线性矩阵不等式推导了依赖于延迟的稳定条件。给出了两个数值例子来说明所提出条件的有效性。

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