Technical communique: α-Dissipativity analysis of singular time-delay systems

Technical communique: α-Dissipativity analysis of singular time-delay systems
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DOI:
10.1016/j.automatica.2011.06.025
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发表时间:
2011-11
期刊:
影响因子:
6.4
通讯作者:
Zhiguang Feng;J. Lam;Huijun Gao
Zhiguang Feng;J. Lam;Huijun Gao
中科院分区:
计算机科学2区
文献类型:
--
作者:
Zhiguang Feng;J. Lam;Huijun Gao

文献摘要

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本文研究了具有时滞的连续时间奇异系统的时滞相关α-耗散性分析问题。利用时滞分割技术,以线性矩阵不等式(LMI)的形式给出了广义系统容许且严格(Q,S,R)-α-耗散的充分条件.除了时滞依赖性外,所得结果还依赖于参数α。并且将H∞性能分析和无源性分析的结果与耗散性分析的结果统一起来。文中的结果比文献中已有的结果保守性小,并通过几个例子说明了这一点。
In this paper, the problem of delay-dependent α-dissipativity analysis is investigated for continuous-time singular systems with time-delay. Using the delay partitioning technique, sufficient conditions are established in terms of linear matrix inequalities (LMIs), which guarantees a singular system to be admissible and strictly (Q,S,R)-α-dissipative. In addition to delay dependence, the obtained results are also dependent on the parameter α. Moreover, the results of H∞performance analysis and passivity analysis are unified from the dissipative analysis results. The results developed in this paper are less conservative than existing ones in the literature, which are illustrated by several examples.