Fixed-time stabilization of generalized leakage-delayed neural networks with discontinuous disturbances via mixed-delay-product-type LKF

Abstract

In this paper, a class of generalized leakage-delayed neural networks with discontinuous disturbances is studied. Due to nonlinearity of the considered neural system, the existence of solutions should be verified. So, by applying the differential inclusion theory and fixed-point theorems of set-valued map, the existence and multiplicity of periodic solutions are proved firstly. Then, by a new designed non-chattering control law without delay terms, the fixed-time stabilization of the error system formulated by the addressed master-slave leakage-delayed neural networks is achieved via mixed-delay-product-type LKF, which is different from the previous related ones. Moreover, the new established result on the fixed-time stabilization is dependent on the leakage delays, which further implies that the leakage delays can affect the stability of the real system. Finally, one example examines the correctness of the main results.