Finite‐time and fixed‐time stability of discontinuous fuzzy neural network system with time‐varying delay.
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| Title: | Finite‐time and fixed‐time stability of discontinuous fuzzy neural network system with time‐varying delay. |
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| Authors: | Zhang, Lingling1 (AUTHOR), Huang, Lihong1 (AUTHOR) z002005@163.com, Cai, Zuowei2 (AUTHOR) |
| Source: | Asian Journal of Control. Nov2025, Vol. 27 Issue 6, p2857-2867. 11p. |
| Subjects: | Fuzzy neural networks, Feedback control system stability, Time delay systems, Mathematical analysis, Lyapunov functions, State feedback (Feedback control systems), Dynamic stability |
| Abstract: | This paper is concerned with the problem of generalized finite‐time/fixed‐time stabilization control for a class of fuzzy neural networks system with time‐varying delay and discontinuous activation. Firstly, considering the time delay and fuzzy logics, a discontinuous fuzzy neural networks system with time‐varying delay is formulated. Secondly, by introducing the finite‐time/fixed‐time stability lemmas, two switching state feedback control laws are designed, and a generalized framework of finite‐time/fixed‐time stabilization control for the discontinuous fuzzy neural networks system is presented. By relaxing the conditions of the Lyapunov function, the finite‐time/fixed‐time stabilization of the fuzzy neural networks system is proved by using inequality techniques. A more accurate settling time can be estimated by some special functions. Finally, the effectiveness of the developed method is verified by two typical numerical examples. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | This paper is concerned with the problem of generalized finite‐time/fixed‐time stabilization control for a class of fuzzy neural networks system with time‐varying delay and discontinuous activation. Firstly, considering the time delay and fuzzy logics, a discontinuous fuzzy neural networks system with time‐varying delay is formulated. Secondly, by introducing the finite‐time/fixed‐time stability lemmas, two switching state feedback control laws are designed, and a generalized framework of finite‐time/fixed‐time stabilization control for the discontinuous fuzzy neural networks system is presented. By relaxing the conditions of the Lyapunov function, the finite‐time/fixed‐time stabilization of the fuzzy neural networks system is proved by using inequality techniques. A more accurate settling time can be estimated by some special functions. Finally, the effectiveness of the developed method is verified by two typical numerical examples. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 15618625 |
| DOI: | 10.1002/asjc.3630 |
