Finite-time stability of singular nonlinear switched time-delay systems: A singular value decomposition approach

Thanh Nguyen T.; Niamsup P.; Phat Vu N.

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Finite-time stability of singular nonlinear switched time-delay systems: A singular value decomposition approach

机译：奇异非线性切换时滞系统的有限时间稳定性：一种奇异值分解方法

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In this paper, a constructive geometric design of switching laws is proposed for the finite-time stability of singular nonlinear switched systems subjected to delay and disturbance. The state-dependent switching law is constructed based on the construction of a partition of the stability state regions in convex cones such that each system mode is activated in one particular conic zone. Using the state-space singular value decomposition approach, new delay-dependent sufficient conditions for the finite-time stability of the system are presented in terms of linear matrix inequalities (LMIs). The obtained results are applied to uncertain linear singular switched systems with delay. Numerical examples are given to illustrate the effectiveness of the proposed method. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

机译：本文针对具有滞后和扰动的奇异非线性切换系统的有限时间稳定性，提出了一种开关律的构造性几何设计。基于状态的切换定律是基于在凸锥中稳定状态区域的分区的构造而构造的，使得在一个特定的圆锥区域中激活每种系统模式。使用状态空间奇异值分解方法，以线性矩阵不等式（LMI）的形式给出了系统的有限时间稳定性的新的依赖于延迟的充分条件。获得的结果被应用于具有时滞的不确定线性奇异切换系统。数值算例说明了该方法的有效性。（C）2017富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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来源
《Journal of the Franklin Institute》 |2017年第8期|3502-3518|共17页
作者
Thanh Nguyen T.; Niamsup P.; Phat Vu N.;
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Univ Min & Geol, Fac Basic Sci, Dept Math, Hanoi, Vietnam;

Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand;

Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam;

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Finite-time stability of singular nonlinear switched time-delay systems: A singular value decomposition approach

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