Stability analysis of a class of general periodic neural networks with delays and impulses.
Based on the inequality analysis, matrix theory and spectral theory, a class of general periodic neural networks with delays and impulses is studied. Some sufficient conditions are established for the existence and globally exponential stability of a unique periodic solution. Furthermore, the results are applied to some typical impulsive neural network systems as special cases, with a real-life example to show feasibility of our results.
Zhao
Yong
Y
Department of Dynamics and Control, Beihang University, Beijing 100191, China. Zhyo_2008@ss.buaa.edu.cn
Xia
Yonghui
Y
Lu
Qishao
Q
D000200:Action Potentials / Q000502:physiology; D000465:Algorithms; D001245:Association Learning / Q000502:physiology; D003198:Computer Simulation; D008959:Models, Neurological; D009431:Neural Conduction / Q000502:physiology*; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D010363:Pattern Recognition, Automated; D013598:Systems Theory; D013997:Time Factors