Structural Controllability of Discrete-Time Linear Control Systems with Time-Delay: A Delay Node Inserting Approach

Qi Ailing; Ju Xuewei; Zhang Qing; Chen Zengqiang

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Structural Controllability of Discrete-Time Linear Control Systems with Time-Delay: A Delay Node Inserting Approach

机译：具有时间延迟的离散线性控制系统的结构可控制性：一种延迟节点插入方法

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This paper is concerned with the structural controllability analysis for discrete-time linear control systems with time-delay. By adding virtual delay nodes, the linear systems with time-delay are transformed into corresponding linear systems without time-delay, and the structural controllability of them is equivalent. That is to say, the time-delay does not affect or change the controllability of the systems. Several examples are also presented to illustrate the theoretical results.

机译：本文涉及具有时滞的离散时间线性控制系统的结构可控性分析。通过添加虚拟延迟节点，将具有时滞的线性系统转换为相应的无时滞的线性系统，并且它们的结构可控性是等效的。也就是说，时间延迟不会影响或改变系统的可控性。还提供了几个例子来说明理论结果。

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来源
《Mathematical Problems in Engineering》 |2016年第2期|1429164.1-1429164.9|共9页
作者
Qi Ailing; Ju Xuewei; Zhang Qing; Chen Zengqiang;
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Civil Aviat Univ China, Sch Sci, Tianjin 300300, Peoples R China;

Civil Aviat Univ China, Sch Sci, Tianjin 300300, Peoples R China;

Civil Aviat Univ China, Sch Sci, Tianjin 300300, Peoples R China;

Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China;

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1. Investigating the effects of time-delays on stochastic stability and designing l(1)-gain controllers for positive discrete-time Markov jump linear systems with time-delay [J] . Zhu Shuqian, Han Qing-Long, Zhang Chenghui Information Sciences: An International Journal . 2016,第Null期

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2. Robust Stability and H{sub}∞ Control of Discrete-Time Jump Linear Systems With Time-Delay: An LMI Approach [J] . E. K. Boukas, Z. K. Liu Journal of Dynamic Systems, Measurement, and Control . 2003,第2期

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3. Delay-dependent guaranteed cost control for uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays [J] . 王常虹, 姚秀明哈尔滨工业大学学报：英文版 . 2010,第003期

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Structural Controllability of Discrete-Time Linear Control Systems with Time-Delay: A Delay Node Inserting Approach

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