Journal
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
Volume 34, Issue 2, Pages 632-641Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s11424-020-9179-8
Keywords
Augmented Lyapunov-Krasovskii functional; linear matrix inequality (LMI); stability analysis; time-delay system
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Funding
- National Natural Science Fund of China [61741308, 61703153, 61672225]
- Natural Science Fund of Hunan Province [2018JJ2096, 2018JJ4075]
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This paper focuses on the delay-dependent stability of linear systems with time-varying delay, presenting a new augmented Lyapunov-Krasovskii functional and less conservative stability criteria. The effectiveness and superiority of the criteria are verified through two well-known numerical examples.
This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative delay-dependent stability criteria are obtained. Finally, two well-known numerical examples are used to confirm the effectiveness and the superiority of the presented stability criteria.
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