mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
In this paper, the μ-stability analysis issue of nonlinear differential systems along with two kinds of delay components, namely, leakage delay and transmission delay, is investigated. By constructing a suitable Lyapunov–Krasovskii's functional and utilizing Finsler's lemma, some novel μ-...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2018-06-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13192 |
| Summary: | In this paper, the μ-stability analysis issue of nonlinear differential systems along with two kinds of delay components, namely, leakage delay and transmission delay, is investigated. By constructing a suitable Lyapunov–Krasovskii's functional and utilizing Finsler's lemma, some novel μ-stability criteria for the concerned nonlinear system are obtained. These criteria are expressed in the framework of linear matrix inequalities (LMIs), which can be verified easily by means of standard software. Finally, two examples are presented to exhibit the advantage and effectiveness of the proposed theoretical results.
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| ISSN: | 1392-5113 2335-8963 |