Li Tao, Zheng Wei Xing, Lin Chong
Department of Information and Communication, Nanjing University of Information Science and Technology, Nanjing 210044, China.
IEEE Trans Neural Netw. 2011 Dec;22(12):2138-43. doi: 10.1109/TNN.2011.2169425. Epub 2011 Oct 6.
By using the fact that the neuron activation functions are sector bounded and nondecreasing, this brief presents a new method, named the delay-slope-dependent method, for stability analysis of a class of recurrent neural networks with time-varying delays. This method includes more information on the slope of neuron activation functions and fewer matrix variables in the constructed Lyapunov-Krasovskii functional. Then some improved delay-dependent stability criteria with less computational burden and conservatism are obtained. Numerical examples are given to illustrate the effectiveness and the benefits of the proposed method.
