Title of article :
Adaptive control design for fixed-time synchronization of fuzzy stochastic cellular neural networks with discrete and distributed delay
Author/Authors :
Liu, Y. Department of Mathematics - Northeast Forestry University, Harbin, China , Liu, M. Department of Mathematics - Northeast Forestry University, Harbin, China , Xu, X. School of Mathematical Sciences - Heilongjiang University, Harbin, PR China
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 :
Fixed-time synchronization , adaptive control , stochastic perturbations , fuzzy cellular neural networks
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
