Delay-range dependent stability criteria for neural networks with Markovian jumping parameters

作者：Balasubramaniam P^*; Lakshmanan S

来源：Nonlinear Analysis: Hybrid Systems , 2009, 3(4): 749-756.

DOI：10.1016/j.nahs.2009.06.012

• Delay/interval-dependent stability
• Linear matrix inequality
• Lyapunov-Krasovskii functional
• Markovian jumping parameters
• Hopfield neural networks

The paper is concerned with a stability analysis problem for neural networks with Markovian jumping parameters. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process, which are governed by a Markov process with discrete and finite state space. A new type of Markovian jumping matrix 131 is introduced in this paper. The discrete 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. Based on the new Lyapunov-Krasovskii functional, delay-interval dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the lower conservatism and the effectiveness of the proposed LMI conditions.

• 出版日期2009-11