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Title: | CONTROLLABILITY OF NONLINEAR HIGHER-ORDER FRACTIONALDAMPED STOCHASTIC SYSTEMS INVOLVING MULTIPLE DELAYS |
Authors: | Ganesan, Arthi Kalaiselvan, Suganya Juan J, Nieto |
Keywords: | controllability, factional damped systems stochastic systems multiple delays Mittag-Leffler function |
Issue Date: | 24-May-2022 |
Publisher: | Vilnius University Press |
Abstract: | This paper is concerned with the controllability problem for higher-order fractionaldamped stochastic systems with multiple delays, which involves fractional Caputo derivatives ofany different orders. In the process of proof, we have proposed the controllability of consideredlinear system by establishing a controllability Grammian matrix and employing a control function.Sufficient conditions for the considered nonlinear system concerned to be controllable have beenderived by constructing a proper control function and utilizing the Banach fixed point theoremwith Burkholder–Davis–Gundy’s inequality. Finally, two examples are provided to emphasize theapplicability of the derived results |
URI: | https://www.journals.vu.lt/nonlinear-analysis/article/view/27587 |
Appears in Collections: | c) 2022-Scopus Open Access (PDF) |
Files in This Item:
File | Description | Size | Format | |
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CONTROLLABILITY OF NONLINEAR HIGHER-ORDER FRACTIONALDAMPED STOCHASTIC SYSTEMS INVOLVING MULTIPLE DELAYS.pdf | 381.21 kB | Adobe PDF | View/Open |
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