Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays.
In this paper, shunting inhibitory cellular neural networks(SICNNs) with neutral type delays and time-varying leakage delays are investigated. By applying Lyapunov functional method and differential inequality techniques, a set of sufficient conditions are obtained for the existence and exponential stability of pseudo almost periodic solutions of the model. An example is given to support the theoretical findings. Our results improve and generalize those of the previous studies.
Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics , Guiyang 550004 , PR China.
Changjin
C
Xu
Qiming
Q
Zhang
Yusen
Y
Wu
D000818:Animals; D003198:Computer Simulation; D006801:Humans; D009433:Neural Inhibition / Q000502:physiology*; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics; D010507:Periodicity; D012996:Solutions; D013997:Time Factors
D012996:Solutions
34C25; 34K25; 34k13; Exponential stability; Leakage delay; Neutral type delay; Pseudo almost periodic solution; Shunting inhibitory cellular neural networks