Razumikhin-type theorem

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August undefined, 2024

WebRazumikhin-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 … Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆

NEW CRITERIA FOR EXPONENTIAL STABILITY OF LINEAR TIME …

WebLet us now first establish a Razumikhin-type theorem on the pth moment exponential stability for the stochastic functional differential equation. Theorem 2.1. Let (Hl) hold. Let … WebLi, 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 … rdw high count meaning

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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 … WebIn this paper, we investigate stability and boundedness for a class of impulsive functional differential equations by using Liapunov functions and Razumikhin technique. Some new Razumikhin type theorems on stability and boundedness are obtained. The corresponding results obtained recently in [J. Shen, J. Yan, Nonlinear Anal. 33 (1998) 519–531; X. Liu, J. … WebJan 1, 2024 · This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential … how to spell the name sylvia

(PDF) Razumikhin-type theorem for neutral stochastic functional ...

(PDF) Brief paper: Razumikhin-type stability theorems for discrete ...

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 ... how to spell the name tiffanyWebAug 24, 2024 · rate, Pavlovic´ and Jankovic´ [31] established new Razumikhin theorems, which may be specialized on the different types of stability. Moreover, Razumikhin … how to spell the name todd

"WebIn this note, the problem on the exponential stability in mean square moment of mild solution to impulsive neutral stochastic partial functional differential equations is … " - Razumikhin-type theorem

Razumikhin-type theorem

Coexistence and local stability of multiple equilibrium points for ...

WebAug 29, 2016 · Abstract. In this paper, the Razumikhin approach is applied to the study of both p-th moment and almost sure stability on a general decay for a class of impulsive … 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 …

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WebABSTRACT. Some comparison theorems of Liapunov-Razumikhin type are pro vided for uniform (asymptotic) stability and uniform (ultimate) boundedness of solu tions to neutral … WebAn example by Bastin and Coron illustrates that the boundary stabilization of 1-d hyperbolic systems with certain source terms is only possible if the length of the space interval is sufficiently small.

WebThe results obtained here are close to the Razumikhin-type asymptotic stability theorem from , but another approach is used and other exponential stability conditions are … WebAccording to the superiority of the Razumikhin-type technique, many researchers use this technique to solve the problem in the theory of stochastic functional differ-ential …

WebJun 25, 2013 · The Razumikhin-type stability theorems of neutral stochastic functional differential equations (NFDEs) were investigated by several authors, but there was almost … WebSupporting: 1, Mentioning: 6 - Razumikhin-type theorems for hybrid system with memory - Sun, Xi-Ming

WebThe 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.

WebJul 12, 2024 · TLDR: A Razumikhin type theorem that ensures input-to-state stability (ISS) for sets in functional differential equations (FDEs) with disturbances is proved. The … rdw high hgb lowWebThe proof of Theorem 1 in the above paper [2], proceeds as follows : Since condition i) of Theorem 1 ensures that of Lemma 1 holds, the authors then proceeded to show that the … rdw high ferritin lowWebThe three-dimensional Muthuswamy–Chua–Ginoux (MCG, for short) circuit system based on a thermistor is a generalization of the classical Muthuswamy–Chua circuit differential system. At present, there are only partial numerical simulations for the qualitative analysis of the MCG circuit system. In this work, we study local stability and Hopf bifurcations of the … how to spell the number 15 in wordWebBy using stochastic analysis techniques, Razumikhin techniques and vector Lyapunov function method, vector Razumikhin-type theorem has been established on input-to-state … how to spell the name wyattWebNov 15, 2024 · Hence, Razumikhin-type theorems have been developed by many authors for various systems. In the past 20 years, Mao and his collaborators have established the … how to spell the name tieWebJul 1, 2024 · The analysis is based on paper [X. Mao, Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations, SIAM J. Math. … rdw high hemoglobin lowWebA Razumikhin-type theorem that guarantees input-to-state stability for functional differential equations with disturbances is established using the nonlinear small-gain theorem. The … how to spell the number 3