title: Impulsive control and synchronization for delayed neural networks with reaction-diffusion terms.
abstract: This paper discuss the global exponential stability and synchronization of the delayed reaction-diffusion neural networks with Dirichlet boundary conditions under the impulsive control in terms of p-norm and point out the fact that there is no constant equilibrium point other than the origin for the reaction-diffusion neural networks with Dirichlet boundary conditions. Some new and useful conditions dependent on the diffusion coefficients are obtained to guarantee the global exponential stability and synchronization of the addressed neural networks under the impulsive controllers we assumed. Finally, some numerical examples are given to demonstrate the effectiveness of the proposed control methods.
authors.affiliation: the College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China.
authors.forename: Cheng
authors.initials: C
authors.lastname: Hu
authors.forename: Haijun
authors.initials: H
authors.lastname: Jiang
authors.forename: Zhidong
authors.initials: Z
authors.lastname: Teng
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013598:Systems Theory; D013997:Time Factors