title: Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses.
abstract: A kind of neutral-type Cohen-Grossberg shunting inhibitory cellular neural networks with distributed delays and impulses is considered. Firstly, by using the theory of impulsive differential equations and the contracting mapping principle, the existence and uniqueness of the almost periodic solution for the above system are obtained. Secondly, by constructing a suitable Lyapunov functional, the global exponential stability of the unique almost periodic solution is also investigated. The work in this paper improves and extends some results in recent years. As an application, an example and numerical simulations are presented to demonstrate the feasibility and effectiveness of the main results.
authors.affiliation: School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China.
authors.forename: Lijun
authors.initials: L
authors.lastname: Xu
authors.affiliation: The Academy of Agriculture and Forestry Sciences of Panzhihua City, Panzhihua, Sichuan 617000, China.
authors.forename: Qi
authors.initials: Q
authors.lastname: Jiang
authors.affiliation: The Academy of Agriculture and Forestry Sciences of Panzhihua City, Panzhihua, Sichuan 617000, China.
authors.forename: Guodong
authors.initials: G
authors.lastname: Gu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D009433:Neural Inhibition; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics