We consider the stabilization problem for a linear system of differential equations with two constant commensurable delays and with an exponential factor on the right-hand side. Furthermore, by using the Laplace transform, we obtain sufficient conditions for the instability of a solution of the considered system. © 2012 Pleiades Publishing, Ltd
The paper investigates the exponential stability and exponential estimate of the norms of solutions ...
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
AbstractWe find the stability domain in the (a, b) plane for the equation, x˙(t)=−ax(t−τ1)−bx(t−τ2)W...
Abstract This paper presents new results of stability analysis for a linear system with two delays. ...
We give an explicit formula for the general solution of a one dimensional linear delay differential ...
AbstractNew explicit conditions of exponential stability are obtained for the nonautonomous equation...
In this paper, we give some new necessary and sufficient conditions for the asymptotic stability of ...
Abstract. General linear time-varying differential systems with delay are consid-ered. Several expli...
The article considers a controlled system of linear differential-difference equations with a linear...
We study the exponential stability of a nonlinear system of differential equations with constant del...
This paper addresses the problem of exponential stability analysis of two-dimensional (2D) linearcon...
An analytic criterion for determining the stability of linear differential delay systems is presente...
International audienceLinear systems governed by continuous-time difference equations cover a wide c...
The stability of the zero solution of a system of first-order linear functional differential equatio...
AbstractThe stability of linear systems with uncertain bounded time-varying delays (without any cons...
The paper investigates the exponential stability and exponential estimate of the norms of solutions ...
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
AbstractWe find the stability domain in the (a, b) plane for the equation, x˙(t)=−ax(t−τ1)−bx(t−τ2)W...
Abstract This paper presents new results of stability analysis for a linear system with two delays. ...
We give an explicit formula for the general solution of a one dimensional linear delay differential ...
AbstractNew explicit conditions of exponential stability are obtained for the nonautonomous equation...
In this paper, we give some new necessary and sufficient conditions for the asymptotic stability of ...
Abstract. General linear time-varying differential systems with delay are consid-ered. Several expli...
The article considers a controlled system of linear differential-difference equations with a linear...
We study the exponential stability of a nonlinear system of differential equations with constant del...
This paper addresses the problem of exponential stability analysis of two-dimensional (2D) linearcon...
An analytic criterion for determining the stability of linear differential delay systems is presente...
International audienceLinear systems governed by continuous-time difference equations cover a wide c...
The stability of the zero solution of a system of first-order linear functional differential equatio...
AbstractThe stability of linear systems with uncertain bounded time-varying delays (without any cons...
The paper investigates the exponential stability and exponential estimate of the norms of solutions ...
Consider the linear differential equation x(t)= Σi=1npi(t)x(t-ti)=0, t≥t0where p C([t0∞), R) and ti\...
AbstractWe find the stability domain in the (a, b) plane for the equation, x˙(t)=−ax(t−τ1)−bx(t−τ2)W...