Delay-Dependent Exponential Stability Criterion for BAM Neural Networks with Time-Varying Delays
نویسندگان
چکیده
⎯By employing the Lyapunov stability theory and linear matrix inequality (LMI) technique, delaydependent stability criterion is derived to ensure the exponential stability of bi-directional associative memory (BAM) neural networks with time-varying delays. The proposed condition can be checked easily by LMI control toolbox in Matlab. A numerical example is given to demonstrate the effectiveness of our results. Index Terms⎯Bi-directional associative memory (BAM) neural networks, delay-dependent exponential stability, linear matrix inequality (LMI), lyapunov stability theory, time-varying delays.
منابع مشابه
Delay-Dependent Exponential Stability of Discrete-Time BAM Neural Networks with Time Varying Delays
This paper considers the delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays. By constructing the new Lyapunov functional, the improved delay-dependent exponential stability criterion is derived in terms of linear matrix inequality LMI . Moreover, in order to reduce the conservativeness, some slack matrices are introduced in this paper. Two numer...
متن کاملRobust stability of stochastic fuzzy impulsive recurrent neural networks with\ time-varying delays
In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...
متن کاملLMI Approach to Stability Analysis of Discrete-Time BAM Neural Networks with Time-Varying Delays
In this paper, a discrete-time bidirectional associative memory (BAM) neural network with time-varying delays is considered. The description of the activation functions is more general than the recently commonly used Lipschitz conditions. By using appropriate Lyapunov-Krasovskii functional and linear matrix inequality (LMI) technique, a delay-dependent sufficient condition is obtained to guaran...
متن کاملExponential Passivity Criteria for BAM Neural Networks with Time-Varying Delays
In this paper,the exponential passivity criteria for BAM neural networks with time-varying delays is studied.By constructing new Lyapunov-Krasovskii functional and dividing the delay interval into multiple segments,a novel sufficient condition is established to guarantee the exponential stability of the considered system.Finally,a numerical example is provided to illustrate the usefulness of th...
متن کاملDelay-Distribution-Dependent Stability Criteria for BAM Neural Networks with Time-Varying Delays
This paper is concerned with the delay-distributiondependent stability criteria for bidirectional associative memory (BAM) neural networks with time-varying delays. Based on the Lyapunov-Krasovskii functional and stochastic analysis approach, a delay-probability-distribution-dependent sufficient condition is derived to achieve the globally asymptotically mean square stable of the considered BAM...
متن کامل