Keywords: Neural networks Time-varying delays Stability Lyapunov method a b s t r a c t This paper concerns the problem of delay-dependent stability criteria for neural networks with interval time-varying delays. First, by constructing a newly augmented Lyapunov– Krasovskii functional and combining with a reciprocally convex combination technique, less conservative stability criterion is establ...

Finite-time stability can be used in all applications where large values of the state are not acceptable. In this paper, finite-time stability problem for a class of linear time-varying delay systems is studied. Based on Lyapunov-like functions method and using an appropriate model transformation of the original sysem, the sufficient delay-dependent finite-time stability conditions are derived....

This paper investigated the problem of improved delay-dependent stability criteria for neural networks with two additive time-varying delay components. By constructing a more general type of Lyapunov functional and using effective mathematical technique to estimate the upper bound on the time derivative of the Lyapunov functional, some new delay-dependent stability criteria are derived in terms...

this paper deals with a delayed ratio-dependent functional response predator-prey model with a threshold harvesting policy. we study the equilibria of the system before and after the threshold. we show that the threshold harvesting can improve the undesirable behavior such as nonexistence of interior equilibria. the global analysis of the model as well as boundedness and permanence properties a...

This Letter deals with the problem of delay-dependent robust exponential stability in mean square for a class of uncertain stochastic Hopfield neural networks with discrete and distributed time-varying delays. Based on Lyapunov–Krasovskii functional and the stochastic stability theory, delay-dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). Because of intr...

Three main model transformations were used in the past for delay-dependent stability. Recently a new (descriptor) model transformation has been introduced. In the present paper, we compare methods under different transformations and show the advantages of the descriptor one. We obtain new delay-dependent stability conditions for systems with timevarying delays in terms of linear matrix inequali...

Recently Mao et al. [18] established a number of useful stability criteria in terms of M-matrices for nonlinear stochastic differential delay equations with Markovian switching, and the criteria there are independent of time delay. Such criteria are in general good for large delay but might not be good enough for small delay. When the time lag is sufficiently small, it is useful to obtain delay...

Recently Mao et al. [18] established a number of useful stability criteria in terms of M-matrices for nonlinear stochastic differential delay equations with Markovian switching, and the criteria there are independent of time delay. Such criteria are in general good for large delay but might not be good enough for small delay. When the time lag is sufficiently small, it is useful to obtain delay...

Abstract. This paper deals with the absolute stability of single-input single-output time-delay systems with, in general, a finite number of non commensurate constant internal point delays for any nonlinearity satisfying a time positivity inequality related to the first and third quadrants. The results are obtained based on Lyapunov’s stability analysis via appropriate Lyapunov’s functions and ...

By using the time-switched method and the comparison theorem, we derived a criterion of delay-dependent stability for the switched large-scale time-delay systems. To guarantee the exponential stability for the switched large-scale time-delay systems with stabilitymargin λ, the total activation time ratio of the switching law is determined. An example is used to illustrate the effectiveness of o...