Switching law design for finite‐time stability of singular fractional‐order systems with delay: Switching law design for finite-time stability of singular fractional-order systems with delay
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| Názov: | Switching law design for finite‐time stability of singular fractional‐order systems with delay: Switching law design for finite-time stability of singular fractional-order systems with delay |
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| Autori: | Nguyen T. Thanh, Vu Ngoc Phat |
| Zdroj: | IET Control Theory & Applications. 13:1367-1373 |
| Informácie o vydavateľovi: | Institution of Engineering and Technology (IET), 2019. |
| Rok vydania: | 2019 |
| Predmety: | 0209 industrial biotechnology, Time-scale analysis and singular perturbations in control/observation systems, Stability theory of functional-differential equations, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, 02 engineering and technology, Functional-differential equations with fractional derivatives |
| Popis: | In this study, the authors present an analytical approach based on the Laplace transform and ‘inf‐sup’ method for studying the finite‐time stability of singular fractional‐order switched systems with delay. A constructive geometric design for switching laws based on the construction of a partition of the stability state regions in convex cones is proposed. Using the proposed method, new delay‐dependent sufficient conditions for regularity, impulse‐free and finite‐time stability of the system are developed in terms of tractable matrix inequalities and Mittag–Leffler functions. An example is provided to illustrate the effectiveness of the proposed method. |
| Druh dokumentu: | Article |
| Popis súboru: | application/xml |
| Jazyk: | English |
| ISSN: | 1751-8652 1751-8644 |
| DOI: | 10.1049/iet-cta.2018.5556 |
| Prístupová URL adresa: | https://zbmath.org/7181702 https://doi.org/10.1049/iet-cta.2018.5556 https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5556 https://ietresearch.onlinelibrary.wiley.com/doi/10.1049/iet-cta.2018.5556 https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/iet-cta.2018.5556 https://ieeexplore.ieee.org/document/8733664/ |
| Rights: | Wiley Online Library User Agreement |
| Prístupové číslo: | edsair.doi.dedup.....56f2db9b800e67a05a88806baa722ed0 |
| Databáza: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | In this study, the authors present an analytical approach based on the Laplace transform and ‘inf‐sup’ method for studying the finite‐time stability of singular fractional‐order switched systems with delay. A constructive geometric design for switching laws based on the construction of a partition of the stability state regions in convex cones is proposed. Using the proposed method, new delay‐dependent sufficient conditions for regularity, impulse‐free and finite‐time stability of the system are developed in terms of tractable matrix inequalities and Mittag–Leffler functions. An example is provided to illustrate the effectiveness of the proposed method. |
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| ISSN: | 17518652 17518644 |
| DOI: | 10.1049/iet-cta.2018.5556 |