Razumikhin-type theorem

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August undefined, 2024

WebMar 1, 2015 · Fractional order Razumikhin-type theorems. As in the study of systems without delay, an effective method for determining the stability of a time-delay system is … WebAug 6, 2024 · In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on …

A note on exponential stability for impulsive neutral stochastic ...

WebThis paper concerns the stability of analytical and numerical solutions of nonlinear stochastic delay differential equations (SDDEs). We derive sufficient conditions for the stability, contractivity and asymptotic cont… WebIn this section, we shall establish Razumikhin-type theorems on the p-th moment . ψ. γ. stable for stochastic de-lay nonlinear systems by using Razumikhin technique and … fnvcs

Stability theorems of stochastic difference equations

WebIn this paper, by employing the Razumikhin technique and Lyapunov functions, Razumikhin-type theorems that guarantee the uniform stability, uniformly asymptotic stability and … WebThis paper is devoted to study the well-known Razumikhin-type theorem for a class of stochastic functional differential equations with Lévy noise and Markov switching. In … Webgain theorems for interconnected time-delay systems can be found in Section 3, where Subsection 3.1 contains the ISS Lyapunov-Razumikhin type theorem and Subsection 3.2 … greenway street hatyai

State Key Laboratory of High Performance Complex Manufacturing

10.1016/S0096-3003(00)00139-9 DeepDyve

WebABSTRACT. Some comparison theorems of Liapunov-Razumikhin type are pro vided for uniform (asymptotic) stability and uniform (ultimate) boundedness of solu tions to neutral … WebWe prove that the hybrid system with memory is uniformly globally pre-asymptotically stable by small gain theorem. Besides, a relaxed Razumikhin-type stability criterion is also … greenway stratford londonWebTAIWANESE JOURNAL OF MATHEMATICS Vol. xx, No. xx, pp. 0-0, xx 20xx DOI: 10.11650/tjm.18.2014.4125 This paper is available online at … greenways trust campbell river

"WebAuthor: Desineni S. Naidu Publisher: IET ISBN: 9780863411076 Category : Technology & Engineering Languages : en Pages : 314 Download Book. Book Description This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. " - Razumikhin-type theorem

Razumikhin-type theorem

Stability of infinite dimensional stochastic differential equations ...

WebThe Razumikhin-type theorems on the pth moment exponential stability and the almost sure exponential stability for the neutral stochastic functional differential equations have been … Web近来随机微分方程引起了越来越多的关注,如微分方程的解的存在性、唯一性和指数稳定性,但很少有人关注中性随机微分方程解的稳定性.本文讨论了中性随机功能微分方程和中性随机时滞微分方程p时刻的指数稳定性,主要采用的是Razumikhin方法,目的是使用该方法比构造lyapunov函数判定方程解稳定性更易 ...

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WebDec 4, 2024 · Mao X Razumikhin-type theorems on exponential stability of neutral stochastic differential equations Chin. Sci. Bull. 1999 44 24 2225 2228 1752610 10.1007/BF02885926 1043.60049 Google Scholar; 16. Mao X Razumikhin-type theorems on exponential stability of stochastic functional differential equations Stoch. Process. WebJul 1, 1998 · A Razumikhin-type theorem that guarantees input-to-state stability for functional differential equations with disturbances is established using the nonlinear …

WebDec 4, 2024 · Mao X Razumikhin-type theorems on exponential stability of neutral stochastic differential equations Chin. Sci. Bull. 1999 44 24 2225 2228 1752610 … Web第2期 75 1 预备知识定义1[4] 函数γ：R+ →R+ 称为k 类函数，如果它是连续、严格递增，且γ(0)=0。特别地，如果它进一步满足，则函数γ称为k∞类函数。定义2 连续函数β：R+ ×R+ →R+ 称为kL函数，如果对于每个固定的t，函数β(·,t)是k 类的，而对于每个固定的s，函数β(s,·)是递减的，并且

http://www.sfb637.uni-bremen.de/pubdb/repository/SFB637-A5-10-007-IC.pdf

WebAug 1, 2006 · Recently, we initiated in [Systems Control Lett., 26 (1995), pp. 245--251] the study of exponential stability of neutral stochastic functional differential equations, and in …

WebThis paper studies stability properties of stochastic switched nonlinear time-delay systems. The stability analysis is based on two extensions of the Lyapunov-based method: the … fnv console command to add weapon modsWebBy using stochastic analysis techniques, Razumikhin techniques and vector Lyapunov function method, vector Razumikhin-type theorem has been established on input-to-state … fnv day tripperWebThis paper addresses the guaranteed cost leaderless consensus of delayed fractional-order (FO) multi-agent systems (FOMASs) with nonlinearities and uncertainties. A guaranteed … greenways \\u0026 cycle routesWebRazumikhin-type conditions permit the use of simple functions and allow us to circumvent the puzzle of devising a functional and computing its derivative. The idea of exploiting … fnv damage thresholdWebLi, W; Qi, X; Pan, M; Wang, K 2014: Razumikhin-type theorems on exponential stability of stochastic functional differential equations on networks Neurocomputing 131: 278-285 … greenway street sioux fallsWebGeneral neutral stochastic functional differential equations are considered. A novel approach to exponential stability of such equations is proposed. New criteria for the mean square exponential stability of neutral stochastic functional differential equations are given. fnv dead money achievementsWebThe derivative of Lyapunov function along solutions of the considered system is defined in terms of the Caputo fractional Dini derivative. Based on the Lyapunov-Razumikhin method, several sufficient criteria are established to guarantee the finite-time stability and the finite-time contractive stability of solutions for the related systems. greenway summer concert series