In this paper, new delay-independent asymptotic and exponential stability conditions of linear discrete delay systems based on the LyapunovKrasovskii method have been derived. A numerical example has been developed so as to show applicability of the derived results.

We consider the inverse scattering problem on the energy interval in three dimensions. We are focused on stability and instability questions for this problem. In particular, we prove an exponential instability estimate which shows optimality of the logarithmic stability result of [Stefanov, 1990] (up to the value of the exponent).

In this paper a class of singularly perturbed system of conservation laws is considered. The partial differential equations are equipped with boundary conditions which may be studied to derive the exponential stability. Lyapunov stability technique is used to derive sufficient conditions for the exponential stability of this system. A Lyapunov function in H-norm for a singularly perturbed syste...

in this approach, the left ventricular assist pump for patients with left ventricular failure isused. the failure of the left ventricle is the most common heart disease during these days. inthis article, a state feedback controller method is used to optimize the efficiency of a samplingpump current. particle swarm algorithm, which is a set of rules to update the position andvelocity, is applied...

We consider the inverse scattering problem on the energy interval in three dimensions. We are focused on stability and instability questions for this problem. In particular, we prove an exponential instability estimate which shows optimality of the logarithmic stability result of [Stefanov, 1990] (up to the value of the exponent). 1. Introdution We consider the Schrödinger equation −∆ψ + v(x)ψ ...

In this paper a class of singularly perturbed system of conservation laws is considered. The partial differential equations are equipped with boundary conditions which may be studied to derive the exponential stability. Lyapunov stability technique is used to derive sufficient conditions for the exponential stability of this system. A Lyapunov function in H-norm for a singularly perturbed syste...