Stability Criteria for Recurrent Neural Networks With Time-Varying Delay Based on Secondary Delay Partitioning Method

• Published in: IEEE transaction on neural networks and learning systems Vol. 26; no. 10; pp. 2589 - 2595
• Main Authors: Wang, Zhanshan, Liu, Lei, Shan, Qi-He, Zhang, Huaguang
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.10.2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Computer Simulation; Criteria; Delay; Delay effects; Delays; Extended reciprocal convex combination (RCC); Humans; Integrals; Learning systems; Linear matrix inequalities; Mathematical models; Models, Theoretical; Neural networks; Neural Networks (Computer); Nonlinear Dynamics; Numerical stability; Partitioning; Recurrent neural networks; recurrent neural networks (RNNs); Stability; Stability criteria; Time Factors; time-varying delay; Upper bound; time-varying delay; recurrent neural networks (RNNs); Extended reciprocal convex combination (RCC); stability

A secondary delay partitioning method is proposed to study the stability problem for a class of recurrent neural networks (RNNs) with time-varying delay. The total interval of the time-varying delay is first divided into two parts, and then each part is further divided into several subintervals. To...