Finite‐time and fixed‐time stability of discontinuous fuzzy neural network system with time‐varying delay

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.