Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays

Le Van Hien; Le Huy Vu; Vu Ngoc Phat

Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays

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Author(s): Le Van Hien ¹ ; Le Huy Vu ² ; Vu Ngoc Phat ³
- Affiliations: 1: Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam;
  2: Department of Mathematics, Hong Duc University, Thanhhoa, Vietnam;
  3: Institute of Mathematics, VAST, Hanoi 10307, Vietnam
Source: Volume 9, Issue 9, 06 June 2015, p. 1364 – 1372
DOI: 10.1049/iet-cta.2014.0731 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 29/06/2014, Accepted 06/02/2015, Revised 19/12/2014, Published 30/04/2015

This study deals with the problem of exponential stability analysis for a class of singular systems with interval time-varying discrete and distributed delays. By constructing a set of improved Lyapunov–Krasovskii functionals, new delay-dependent conditions are established in terms of linear matrix inequalities ensuring the regularity, impulse free and exponential stability of the system. This approach allows the authors to compute simultaneously the two bounds that characterise the exponential stability rate of the solution by various efficient convex optimisation algorithms. Numerical examples are given to illustrate the effectiveness of the obtained results.

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Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays

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