Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays

Abstract

Abstract We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that the networks in question are mean-square exponentially stable. Our main ingredient is the classical direct Lyapunov approach, in which we construct an elaborate Lyapunov–Krasovskii function. The arguments in the paper can be readily adapted to study stability problems for other cellular neural networks.

Keywords

• Fuzzy stochastic BAM
• Mean-square stability
• Hybrid delays