Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 381, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2020.125329
Keywords
Augmented zero equality; Stability problem; Time-varying delay systems; LMIs
Categories
Funding
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education, Science and Technology [NRF-2019R1I1A3A02058096, 2019R1I1A3A01060151]
- Brain Research Program through the National Research Foundation of Korea (NRF) - Ministry of Science, ICT & Future Planning [NRF-2017M3C7A1044815]
- National Research Foundation of Korea (NRF) - Korea government (MSIT) [NRF-2020R1C1C1011620]
- National Research Foundation of Korea [2019R1I1A3A01060151] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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This work focuses the delay-dependent stability problem for linear systems with time-varying delays. By composing a suitable augmented Lyapunov-Krasovskii functionals, using recent developed integral inequality and choosing newly states, a set of sufficient conditions for stability condition is induced within framework of linear matrix inequalities (LMIs). To enhance the feasible region of stability, single augmented zero equality is established with the augmented state vectors for the first time and the equality constraint is incorporated into a simple stability criterion by utilizing Finsler's lemma. The comparison of maximum bounds of time-delay with various results proposed by recent studies will be conducted in numerical examples to demonstrate the superiority of the theorems presented by this paper. (c) 2020 Elsevier Inc. All rights reserved.
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