Title :
Global Exponential Stability of Impulsive Cellular Neural Network with Delay
Author :
Gui, Zhanji ; Zhan, Jie ; Xing, Chunbo
Author_Institution :
Hainan Normal Univ., Hainan
Abstract :
Sufficient conditions are obtained for the existence and global exponential stability of a unique equilibrium of a class of cellular neural network with Lipschitzian activation functions without assuming their boundedness, monotonicity or differentiability and subjected to impulsive state displacements at fixed instants of time. An illustrative example is given to demonstrate the effectiveness of the obtained results.
Keywords :
asymptotic stability; cellular neural nets; Lipschitzian activation functions; cellular neural network; global exponential stability; Artificial neural networks; Biological system modeling; Cellular neural networks; Delay effects; Differential equations; Hopfield neural networks; Mathematics; Neural networks; Neurons; Stability; Equilibrium; Impulses; Neural networks; Stability.;
Conference_Titel :
Natural Computation, 2007. ICNC 2007. Third International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2875-5
DOI :
10.1109/ICNC.2007.404
