Zeng Zhigang, Huang Tingwen, Zheng Wei Xing
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China.
IEEE Trans Neural Netw. 2010 Aug;21(8):1371-7. doi: 10.1109/TNN.2010.2054106. Epub 2010 Jul 12.
In this brief, stability of multiple equilibria of recurrent neural networks with time-varying delays and the piecewise linear activation function is studied. A sufficient condition is obtained to ensure that n-neuron recurrent neural networks can have (4k - 1)(n) equilibrium points and (2k)(n) of them are locally exponentially stable. This condition improves and extends the existing stability results in the literature. Simulation results are also discussed in one illustrative example.
在本简报中，研究了具有时变延迟和分段线性激活函数的递归神经网络多个平衡点的稳定性。得到了一个充分条件，以确保n神经元递归神经网络可以有(4k - 1)(n)个平衡点，其中(2k)(n)个是局部指数稳定的。该条件改进并扩展了文献中现有的稳定性结果。还在一个示例中讨论了仿真结果。
