uniformly asymptotic stability meaning in English
一致渐近稳定性
Examples
- With the help of the more general and effective lyapunov functionals , we derive new criteria for the uniformly asymptotic stability
文中构造的lyapunov泛函更具一般性,且更为有效,得到了一致渐近稳定性的新判据。 - The tree of this paper is as follows : in chapter 2 , we study the uniformly asymptotic stability of the trivial solutions of a class of linear and nonlinear difference - differential equations with finite time - dependent delays . then , we deal with the existence , the uniqueness and the stability of periodic solutions and almost periodic solutions when the systems are under periodic perturbations and almost periodic perturbations
本文内容具体安排如下:第二章,我们首先研究一类具有限变时滞的线性及非线性差分微分方程系统的零解的一致渐近稳定性,然后讨论在周期扰动和概周期扰动下,相应系统的周期解和概周期解的存在唯一性及稳定性。 - And the sufficient and necessary conditions for the solvability and uniformly asymptotic stability are presented for linear discrete periodic singular systems . based on these conditions , the definition and criterion of power market are investigated , by which the default reason of california power market and the influence of congestion and future market are analyzed . v ) a new bargain model is explored and some feasible results are presented
在此基础上,提出了电力市场稳定性的定义和判据,并据此分析了加州电力市场失败的原因以及阻塞、期货市场的建立对电力市场稳定性的影响; ( 5 )探讨并设计了新的电力市场交易模式,并研究了新模式下套期保值者的套期保值策略。 - By constructing suitable lyapunov functionals , we explore the uniformly asymptotic stability of a class of retarded functional differential equations with finite and infinite delays , via lyapunov second method , especially the delays here vary with time . moreover , we study the existence , the uniqueness and the stability of periodic solutions and almost periodic solutions of the corresponding systems with periodic perturbations arid almost periodic perturbations . more general and applicable results are derived , which improve and generalize the main results in [ 23 . 24 ]
本文将运用lyapunov第二方法,通过构造适当的lyapunov泛函来研究一类具有限变时滞与具无限时滞及变时滞的滞后型泛函微分方程的一致渐近稳定性,并以此为基础进一步来研究相应的周期扰动和概周期扰动系统的周期解和概周期解的存在唯一性及稳定性,得到了更为一般和更易于应用的结果,推广并改进了文献[ 23 , 24 ]中已有的结果。 - Thus , we employ several lyapunov functions including partial components and avoid using p function to obtain some stability results of the trivial solution of system ( 1 ) , such as stability , equi - asymptotic stability , uniformly asymptotic stability and so on . in these theorems , the conditions are less restrictive
因此,本章运用多个部分lyapunov函数,避免使用p函数,在较少的限制条件下得到了系统( 1 )的零解的稳定性、等度渐近稳定性、一致渐近稳定性等定理,并且得到了一些推论
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