Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach

作者: Chuandong Li , Xiaofeng Liao , Rong Zhang

DOI: 10.1016/J.CHAOS.2004.09.052

关键词: MathematicsControl theoryInterconnection matrixLinear matrix inequalitySet (abstract data type)Constant (mathematics)Content-addressable memoryArtificial neural networkExponential stabilityDelay dependentGeneral Mathematics

摘要: Abstract For bi-directional associative memory (BAM) neural networks (NNs) with different constant or time-varying delays, the problems of determining exponential stability and estimating convergence rate are investigated in this paper. An approach combining Lyapunov–Krasovskii functional linear matrix inequality (LMI) is taken to study problems, which provide bounds on interconnection activation functions, so as guarantee system’s stability. Some criteria for stability, give information delay-dependent property, derived. The results obtained paper one more set easily verified guidelines delayed BAM (DBAM) networks, less conservative restrictive than ones reported far literature. typical examples presented show application

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