Stability analysis of spatially interconnected discrete-time systems with random delays and structured uncertainties
Stability analysis of spatially interconnected discrete-time systems with random delays and structured uncertainties
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DOI：
10.1016/j.jfranklin.2013.04.021
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发表时间：
2013-09
期刊：
影响因子：
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通讯作者：
Byeong-Yeon Kim;Y. Kim;H. Ahn
中科院分区：
文献类型：
--
作者：
Byeong-Yeon Kim;Y. Kim;H. Ahn
本文研究了具有随机时滞和结构不确定性的空间互联系统的离散时间域鲁棒稳定性问题。随机时滞被表示为一系列具有一定转移概率的马尔可夫跳变参数。建立了保证空间互联系统的适定性、随机稳定性和H∞性能的充分条件。通过数值仿真，验证了该方法的有效性.
In this paper, robust stability analysis of spatially interconnected systems with random delays as well as structured uncertainties in discrete-time domain is presented. The random delays are represented as a series of Markovian jumping parameters with some transition probability. A sufficient condition to guarantee well-posedness, stochastic stability, and H∞performance of the spatially interconnected systems is established. Through numerical simulations, the validity of the proposed approach is illustrated.