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Saberi M M, Zamani I, Ebadollahi S. Stability Analysis of Switched Time-Delay Systems; a Multiple Case. jocee 2022; 1 (1) :27-36
URL: http://jocee.kntu.ac.ir/article-1-43-en.html
1- Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran
2- Department of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran
Abstract:   (145 Views)
This paper investigates the problem of exponential stability of switched systems with multiple time-varying delays. By using the multiple discontinuous Lyapunov function (MDLF) approach and the mode-dependent average dwell time (MDADT) switching signal, new conditions in the form of linear matrix inequalities (LMIs) are proposed, which is the first attempt in this area. These conditions guarantee the exponential stability of the switched system with stable and unstable subsystems where multiple time-varying delays are considered in the states. In this method all subsystems cannot be unstable, and switched system should compose of at least one stable subsystem. Furthermore, two examples are given to illustrate the effectiveness of the obtained theoretical results.
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Type of Article: Research paper | Subject: General
Received: 2022/03/10 | Accepted: 2022/06/23 | ePublished ahead of print: 2022/06/30

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