Abstract: This paper deals with the problem of stability of
neural networks with leakage, discrete and distributed delays. A
new Lyapunov functional which contains some new double integral
terms are introduced. By using appropriate model transformation
that shifts the considered systems into the neutral-type time-delay
system, and by making use of some inequality techniques,
delay-dependent criteria are developed to guarantee the stability of
the considered system. Finally, numerical examples are provided to
illustrate the usefulness of the proposed main results.
Abstract: In this paper, the problem of stability criteria for Markovian jumping BAM neural networks with leakage and
discrete delays has been investigated. Some new sufficient condition
are derived based on a novel Lyapunov-Krasovskii functional
approach. These new criteria based on delay partitioning idea are
proved to be less conservative because free-weighting matrices
method and a convex optimization approach are considered. Finally,
one numerical example is given to illustrate the the usefulness and
feasibility of the proposed main results.
Abstract: In this paper, utilizing the Lyapunov functional method and combining linear matrix inequality (LMI) techniques and integral inequality approach (IIA) to study the exponential stability problem for neural networks with discrete and distributed time-varying delays.By constructing new Lyapunov-Krasovskii functional and dividing the discrete delay interval into multiple segments,some new delay-dependent exponential stability criteria are established in terms of LMIs and can be easily checked.In order to show the stability condition in this paper gives much less conservative results than those in the literature,numerical examples are considered.
Abstract: 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 the proposed main results