Razumikhin-type theorem

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August undefined, 2024

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 ... 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.

COMPARISON THEOREMS OF LIAPUNOV-RAZUMIKHIN TYPE FOR …

WebThe 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 … WebMar 1, 2024 · Carpenter, 1989 Carpenter G., Neural network models for pattern recognition and associative memory, Neural Networks 2 (4) (1989) 243 – 257. Google Scholar; Chen … high pressure nozzle for drain cleaning

Razumikhin-type theorem for stochastic functional …

WebIn this section, we shall establish Razumikhin-type theorems on the p-th moment stable for stochastic delay nonlinear systems by using Razumikhin technique and Lyapunov … WebMay 24, 2013 · This paper concerns Razumikhin-type theorems on exponential stability of stochastic differential delay equations with Markovian switching, where the modulating … WebJul 24, 2009 · Abstract: This note develops a Razumikhin-type theorem on p th moment input-to-state stability of hybrid stochastic retarded systems (also known as stochastic … how many bonds can phosphate form

Razumikhin-type theorem for stochastic functional differential …

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 … WebThe Razumikhin-type stability theorems of neutral stochastic functional diﬀerential equations (NFDEs) were investigated by several authors, but there was almost no … how many bonds do alkanes haveWebThe 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. how many bonds can silicon form

"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 … " - Razumikhin-type theorem

Razumikhin-type theorem

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

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WebGeneral 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.

WebBy using stochastic analysis techniques, Razumikhin techniques and vector Lyapunov function method, vector Razumikhin-type theorem has been established on input-to-state … 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

WebFeb 28, 2014 · A. R. Teel, Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem, IEEE Transactions on Automatic Control, 43 (1998), 960 … WebDec 1, 2024 · Author(s): Yuxiao Zhao [1,2]; Linshan Wang (corresponding author) [3,*] 1. Introduction It is important to link community members into a whole group directly or …

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

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 … how many bonds can you haveWebAccording 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 … high pressure nitrogen cylindersWebABSTRACT. Some comparison theorems of Liapunov-Razumikhin type are pro vided for uniform (asymptotic) stability and uniform (ultimate) boundedness of solu tions to neutral … high pressure nylon tubing fittingsWebJun 25, 2013 · The Razumikhin-type stability theorems of neutral stochastic functional differential equations (NFDEs) were investigated by several authors, but there was almost … high pressure oil line 7.3WebLi, 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 … high pressure of the eyeWebThe results obtained here are close to the Razumikhin-type asymptotic stability theorem from , but another approach is used and other exponential stability conditions are … how many bonds do alkynes haveWebJul 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. … high pressure oil lines