(2012-6329) Adaptive control design for fixed-time synchronization of fuzzy stochastic cellular neural networks with discrete and distributed delay

Document Type : Research Paper

Authors

1 Department of Mathematics, Northeast Forestry University, Harbin, Heilongjiang 150040, PR China

2 School of Mathematical Sciences, Heilongjiang University, Harbin, Heilongjiang 150080, PR China

10.22111/ijfs.2021.6120

Abstract

This paper studies the fixed-time synchronization problem of fuzzy stochastic cellular neural networks (FSCNNs) with discrete and distributed delay. Compared with the finite-time synchronization in the existing literature, the fixed-time synchronization of FSCNNs is studied for the first time, and the convergence time obtained does not depend on the upper bound of the initial value of the system. In addition, two kinds of control are designed, one is feedback control and the other is adaptive control. Besides, it is the first time to achieve fixed-time synchronization of FSCNNs via adaptive control. Finally, two numerical examples are also proposed to illustrate the practicability and validity of the results we proposed.

Keywords