Delay-dependent robust exponential stability of Markovian jumping reaction-diffusion Cohen-Grossberg neural networks with mixed delays

作者：Kao, Yong-Gui; Guo, Ji-Feng; Wang, Chang-Hong^*; Sun, Xi-Qian

来源：Journal of the Franklin Institute, 2012, 349(6): 1972-1988.

DOI：10.1016/j.jfranklin.2012.04.005

• H-INFINITY CONTROL
• TIME-VARYING DELAY
• ASYMPTOTIC STABILITY
• GLOBAL STABILITY
• STATE ESTIMATION
• LINEAR-SYSTEMS
• LMI APPROACH
• DISCRETE
• CRITERIA
• INTERVAL

This paper is devoted to investigating the robust stochastic exponential stability for reaction-diffusion Cohen-Grossberg neural networks (RDCGNNs) with Markovian jumping parameters and mixed delays. The parameter uncertainties are assumed to be norm bounded. The delays are assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. Some criteria for delay-dependent robust exponential stability of RDCGNNs with Markovian jumping parameters are established in terms of linear matrix inequalities (LMIs), which can be easily checked by utilizing Matlab LMI toolbox. Numerical examples are provided to demonstrate the efficiency of the proposed results.

• 出版日期2012-8
• 单位哈尔滨工业大学; 青岛大学