Exponential stabilityLyapunov–Krasovskii (LK) functionalDelay decompositionThis paper is concerned with exponential stability of a class of integral delay systems with a prescribed decay rate. First, by carefully exploring the literature on this topic, a delay decomposition approach is established to ...
We obtain exponential decay estimates of the solutions of systems with constant delay τ>0, x ˙(t)=Ax(t)+Bx(t-τ),t>0, A, B are matrices with constant coefficients. Investigation is fulfilled with help of the quadratic Lyapunov-Krasovsk... VP Marceniuk 被引量: 2发表: 0年 Proximal...
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48.EXPONENTIAL DECAY FOR WAVES WITH INDEFINITE MEMORY DISSIPATION 机译:具有无限内存耗散的波浪的指数衰减 作者:Oquendo Higidio Portillo;Rodolfo Calsavara Bianca Morelli 期刊名称:《Differential and integral equations》 | 2017年第12期 49.A NOTE ON POSITIVE RADIAL SOLUTIONS OF Delta(2)u plus u(-...
The optimal smoothness of the manifolds is obtained at the same time as their existence, using a convenient lemma of Henry. Furthermore, we obtain not only the exponential decay of the dynamics along the stable manifolds, but also of its derivative. In addition, we give a characterization of...
The comparison has been made for three representative input functions: (i) single exponential decay, (ii) sums of exponentials, and a (iii) stretched exponential. These describe: (i) a simple isotropic translational diffusion motion, (ii) a combination of two distinct isotropic relaxations, and...
The formula has the same step length h as the formula for regular integrals derived by F. Stenger. These quadrature formulae are valid for end point singularities of any order and their error exhibits an exponential decay when the number of integrations tends to infinity....
On the evaluation of overlap integrals with exponential‐type basis functions The numerical properties of a one-dimensional integral representation [H.P. Trivedi and E. O. Steinborn, Phys. Rev. A 27, 670 (1983)] for the overlap integ... HHH Homeier,EO Steinborn - 《International Journal of...
Integro-differential equations and delay integral inequalities In this paper sufficient conditions for the boundedness, asymptotic properties and exponential decay are first obtained for solutions of linear systems of ... D Xu - 《東北數學雜誌. second series》 被引量: 74发表: 1992年 加载更多来源...