Stability analysis of fractional-order systems with randomly time-varying parameters
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| Format: | Artículo científico |
| Language: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876475778453995520 |
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| author | Wang Dehua |
| author_facet | Wang Dehua |
| contents | Stability analysis of fractional-order systems with randomly time-varying parameters Wang Dehua Ding Xiao-Li Nietod Juan J. Matemáticas stability Fractional order system randomly time varying parameters This paper is concerned with the stability of fractional-order systems with randomly time- varying parameters. Two approaches are provided to check the stability of such systems in mean sense. The first approach is based on suitable Lyapunov functionals to assess the stability, which is of vital importance in the theory of stability. By an example one finds that the stability conditions obtained by the first approach can be tabulated for some special cases. For some complicated linear and nonlinear systems, the stability conditions present computational difficulties. The second alternative approach is based on integral inequalities and ingenious mathematical method. Finally, we also give two examples to demonstrate the feasibility and advantage of the second approach. Compared with the stability conditions obtained by the first approach, the stability conditions obtained by the second one are easily verified by simple computation rather than complicated functional construction. The derived criteria improve the existing related results. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172973004 https://www.redalyc.org/journal/6941/694172973004/ https://www.redalyc.org/journal/6941/694172973004/html/ https://www.redalyc.org/journal/6941/694172973004/694172973004.epub https://www.redalyc.org/journal/6941/694172973004/movil https://doi.org/10.15388/namc.2021.26.23053 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.3 Vol.26 |
| format | Artículo científico |
| id | redalyc_694172973004 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Stability analysis of fractional-order systems with randomly time-varying parameters Wang Dehua Matemáticas stability Fractional order system randomly time varying parameters Stability analysis of fractional-order systems with randomly time-varying parameters Wang Dehua Ding Xiao-Li Nietod Juan J. Matemáticas stability Fractional order system randomly time varying parameters This paper is concerned with the stability of fractional-order systems with randomly time- varying parameters. Two approaches are provided to check the stability of such systems in mean sense. The first approach is based on suitable Lyapunov functionals to assess the stability, which is of vital importance in the theory of stability. By an example one finds that the stability conditions obtained by the first approach can be tabulated for some special cases. For some complicated linear and nonlinear systems, the stability conditions present computational difficulties. The second alternative approach is based on integral inequalities and ingenious mathematical method. Finally, we also give two examples to demonstrate the feasibility and advantage of the second approach. Compared with the stability conditions obtained by the first approach, the stability conditions obtained by the second one are easily verified by simple computation rather than complicated functional construction. The derived criteria improve the existing related results. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172973004 https://www.redalyc.org/journal/6941/694172973004/ https://www.redalyc.org/journal/6941/694172973004/html/ https://www.redalyc.org/journal/6941/694172973004/694172973004.epub https://www.redalyc.org/journal/6941/694172973004/movil https://doi.org/10.15388/namc.2021.26.23053 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.3 Vol.26 |
| title | Stability analysis of fractional-order systems with randomly time-varying parameters |
| topic | Matemáticas stability Fractional order system randomly time varying parameters |
| url | https://www.redalyc.org/articulo.oa?id=694172973004 https://www.redalyc.org/journal/6941/694172973004/ https://www.redalyc.org/journal/6941/694172973004/html/ https://www.redalyc.org/journal/6941/694172973004/694172973004.epub https://www.redalyc.org/journal/6941/694172973004/movil https://doi.org/10.15388/namc.2021.26.23053 |