Robust Exponential stability of continuous-time attractor neural networks with delays is discussed. A new sufficient condition ensuring existence and uniqueness of periodic solution for a general class of interval dynamical systems are obtained. Discretetime analogue of the continuous-time systems with periodic input is formulated and we study their dynamical characteristics. The robust exponen...

The problems of absolute stability and existence of forced oscillations for systems with sector restricted nonlinearities are considered. An overview of the results for systems described by ordinary differential equations with constant and periodic coefficients is presented. A result is obtained on exponential absolute stability for systems described by ordinary differential equations. Next, a ...

in this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. a fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. thomas algorithm is used to solve the tri-diagonal system. the stability of the algorithm is investigated. it ...

We consider a class of queueing networks with state-dependent arrival and service rates. Under the uniform (in state) stability condition, we establish several moment stability properties of the queue length process: (i) the unique invariant measure of the queue length process admits a finite moment generating function in a neighborhood of zero; (ii) the expected value of unbounded (and possibl...

We consider a class of stochastic networks with state-dependent arrival and service rates. The state-dependency is described via multi-dimensional birth/death processes, where the birth/death rates are dependent upon the current population size in the system. Under the uniform (in state) stability condition, we establish several moment stability properties of the system: (i) the unique invarian...