A study of exponential stability of multiple equilibria in delayed recurrent neural networks

作者：Zeng Zhigang^*; Zheng Wei Xing

来源：2012 IEEE International Symposium on Circuits and Systems, ISCAS 2012, 2012-05-20 to 2012-05-23.

DOI：10.1109/ISCAS.2012.6271693

• Delayed recurrent neural networks
• Equilibrium point
• Local exponential stability
• Multiple equilibrium
• Multistability
• New results
• Sufficient conditions
• Time-varying delay

The problem of exponential stability of multiple equilibria in recurrent neural networks with time-varying delays and concave-convex characteristics is addressed in this paper. The focus is placed upon derivation of some sufficient conditions under which an neural network of order n can have (2k + 2m 1) n equilibrium points with (k + m)n of them having local exponential stability. The new results represent important extensions of the existing results on multistability of delayed recurrent neural networks.

• 出版日期2012
• 单位华中科技大学