State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay
This manuscript considers the state feedback stabilization problem for a class of stochastic high-order and low-order nonlinear systems with time-delay. Compared with the previous results, a distinctive feature to be studied is that the considered systems involve high-order, low-order, intricate sto...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023163?viewType=HTML |
| _version_ | 1828065393039638528 |
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| author | Yanghe Cao Junsheng Zhao Zongyao Sun |
| author_facet | Yanghe Cao Junsheng Zhao Zongyao Sun |
| author_sort | Yanghe Cao |
| collection | DOAJ |
| description | This manuscript considers the state feedback stabilization problem for a class of stochastic high-order and low-order nonlinear systems with time-delay. Compared with the previous results, a distinctive feature to be studied is that the considered systems involve high-order, low-order, intricate stochastic diffusion terms and time-delay simultaneously. First, the homogeneous domination approach and suitable coordinate transformations are introduced to obtain the updating laws. Then, a state feedback controller is devised to make the closed-loop systems globally asymptotically stable in probability. Finally, a simulation example is shown to prove the proposed approach powerfully. |
| first_indexed | 2024-04-10T23:14:14Z |
| format | Article |
| id | doaj.art-3a4942c29fc4479d9ddbfb3f13d744d6 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T23:14:14Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3a4942c29fc4479d9ddbfb3f13d744d62023-01-13T02:01:43ZengAIMS PressAIMS Mathematics2473-69882023-01-01823185320310.3934/math.2023163State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delayYanghe Cao0Junsheng Zhao 1Zongyao Sun21. School of Mathematical Science, Liaocheng University, Liaocheng 252059, China1. School of Mathematical Science, Liaocheng University, Liaocheng 252059, China2. Institute of Automation, Qufu Normal University, Qufu 273100, ChinaThis manuscript considers the state feedback stabilization problem for a class of stochastic high-order and low-order nonlinear systems with time-delay. Compared with the previous results, a distinctive feature to be studied is that the considered systems involve high-order, low-order, intricate stochastic diffusion terms and time-delay simultaneously. First, the homogeneous domination approach and suitable coordinate transformations are introduced to obtain the updating laws. Then, a state feedback controller is devised to make the closed-loop systems globally asymptotically stable in probability. Finally, a simulation example is shown to prove the proposed approach powerfully.https://www.aimspress.com/article/doi/10.3934/math.2023163?viewType=HTMLhomogeneous domination approachhigh-order and low-orderstate feedbackstochastic nonlinear systems with time-delay |
| spellingShingle | Yanghe Cao Junsheng Zhao Zongyao Sun State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay AIMS Mathematics homogeneous domination approach high-order and low-order state feedback stochastic nonlinear systems with time-delay |
| title | State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay |
| title_full | State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay |
| title_fullStr | State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay |
| title_full_unstemmed | State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay |
| title_short | State feedback stabilization problem of stochastic high-order and low-order nonlinear systems with time-delay |
| title_sort | state feedback stabilization problem of stochastic high order and low order nonlinear systems with time delay |
| topic | homogeneous domination approach high-order and low-order state feedback stochastic nonlinear systems with time-delay |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023163?viewType=HTML |
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