Title :
Globally Exponential Stability of Discrete-time Cellular Neural Networks With Discrete Delays
Author :
Ju, Peijun ; Zhang, Wei ; Liu, Guocai ; Tian, Li
Author_Institution :
Taishan Univ., Taian
Abstract :
Using the technique by virtue of Young and Halanay inequalities, a new sufficient condition for the globally exponential stability of a class of discrete-time cellular neural networks with delays is given. We discard the demand that activation functions must be derivable and only request them to be Lipschitz continuous, in this way the criteria given for globally exponential stability relies on the feedback matrices and is independent of the delay parameter.
Keywords :
asymptotic stability; cellular neural nets; delays; discrete time systems; feedback; matrix algebra; neurocontrollers; transfer functions; Lipschitz continuous function; activation function; discrete delay; discrete-time cellular neural network; feedback matrix; globally exponential stability; Artificial neural networks; Cellular neural networks; Delay effects; Delay systems; Differential equations; Hydrogen; Mathematics; Neurofeedback; Stability criteria; Sufficient conditions;
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.2007.406
