Title | ||
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Novel Stability Criteria For Aperiodic Sampled-Data Systems Via A Time-Squared-Dependent Augmented Functional |
Abstract | ||
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This paper is focusing on the stability analysis of aperiodic sampled-data systems. The augmented Lyapunov functional is powerful to produce a stability criterion with less conservatism owing to the well construction of coupled relationships among time-dependent states. In this paper, a novel augmented Lyapunov functional involving the time-squared-dependent augmented term is presented under the double-side looped-functional technique, which considers coupled relationships more fully than the current ones. Then, an improved negative definiteness lemma based on adjustable parameters is developed, resulting in a less conservative negative definite condition for the derivative of the Lyapunov functional. Finally, a stability criterion is derived based on the Lyapunov functional and the improved lemma, whose effectiveness is illustrated with four numerical examples and one practical example. |
Year | DOI | Venue |
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2021 | 10.1080/00207721.2020.1863502 | INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE |
Keywords | DocType | Volume |
Aperiodic sampled-data system, augmented Lyapunov functional, negative definiteness lemma | Journal | 52 |
Issue | ISSN | Citations |
8 | 0020-7721 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zhen-Man Gao | 1 | 0 | 0.34 |
Guo-Ping Liu | 2 | 2555 | 172.49 |
Yong He | 3 | 3691 | 220.49 |
Min Wu | 4 | 3582 | 272.55 |
Rukshan Navaratne | 5 | 0 | 0.34 |