Stability analysis for continuous system with additive time-varying delays: A less conservative result

Stability analysis for continuous system with additive time-varying delays: A less conservative result
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DOI:
10.1016/j.amc.2009.11.014
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发表时间:
2010-01-15
影响因子:
4
通讯作者:
Rakshit, A.
Rakshit, A.
中科院分区:
数学2区
文献类型:
--
作者:
Dey, Rajeeb;Ray, G.;Rakshit, A.

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本文通过构造新的 Lyapunov-Krasovskii 泛函并利用自由矩阵变量逼近某些积分二次项来获得线性矩阵不等式的稳定性条件,为具有加性时滞的连续时间系统的稳定性分析提供了不太保守的结果。提供了数值示例来显示所提出的方法与最近的一些结果相比的有效性。 (C) 2009 Elsevier Inc. 保留所有权利。
This paper presents a less conservative result for stability analysis of continuous-time systems with additive delays by constructing a new Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms in obtaining the stability condition in terms of linear matrix inequalities. Numerical example is provided to show the effectiveness of the proposed method compared to some recent results. (C) 2009 Elsevier Inc. All rights reserved.