Asymptotic stability of the solution of this system is obtained by studying spectral properties of the operator corresponding to this system. 通过研究相应算子的谱特征得到该系统解的渐近稳定性。
Abstract: The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained. 得到一个关于脉冲微分方程弱指数渐近稳定的判定定理。
Then the disease-free equilibrium point and endemic equilibrium point were proved with global asymptotic stability by constructing functions and basing on the invariant set principle. 通过构造函数及根据不变集原理证明了无病平衡点和地方病平衡点的全局渐近稳定性;
The problem of robustly asymptotic stability for a class of switched uncertain descriptor systems with time-delay is considered. 研究了一类带有时滞的切换不确定广义系统的鲁棒渐近稳定问题。
As applications of the obtained results, criteria for asymptotic stability and global asymptotic stability were also given. 作为所得结果的应用,给出了判别方程零解渐近稳定和全局渐近稳定的准则。
This paper is concerned with the asymptotic stability analysis of linear systems with signal quantization and state observation. 针对基于状态观测和信号量化的线性系统,进行了稳定性分析与研究。
Oscillation and Asymptotic Stability of a Nonlinear Impulsive Delay Difference Equation 一类非线性脉冲时滞差分方程解的振动性和渐近性
Global asymptotic stability of impulsive delay differential equations; 本文研究一般脉冲微分方程解的全局渐近性态。
The locally asymptotic stability of a2-dimension nonlinear analytic dynamic system with a pair of conjugated imaginary eigenvalues is studied. 考察具有一对共轭纯虚数特征值的二维非线性临界解析动态系统的局部渐近稳定性。
To one kind of difference system with variable coefficients, some sufficient conditions for global asymptotic stability of trivial solution are given. 给出了一类变系数差分系统的全局渐近稳定的一些充分条件。
Global Asymptotic Stability of a Class of Non-autonomous Predator-prey System 一类非自治捕食-食饵系统的全局渐近稳定性
This paper discusses the problem of asymptotic stability for the linear systems with multiple time delay. 讨论了以微分-差分方程描述的线性多时滞系统的渐近稳定性问题。
Asymptotic Equivalence and Uniform Asymptotic Stability in Volterra Difference Equations 线性Volterra差分方程解的一致渐近稳定性和渐近等价性
Global asymptotic stability of a class of nonlinear rational difference equations was studied by means of setting up an auxiliary equation, so that a sufficient condition was obtained. 运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性,得到一个充分条件。
Several new criteria are given to ascertain the uniqueness and global asymptotic stability of the equilibrium point for the CNN with multiple time varying delays. 给出了多时变时滞细胞神经网络平衡点唯一性和全局渐近稳定的新判据。
The asymptotic stability of analytical and numerical solutions of generalized neutral delay differential-algebraic equations was discussed. 讨论了广义中立型滞时微分代数方程组理论和数值解的渐近稳定性。
Finally, a sufficient asymptotic stability condition of the original system was proposed. 最后,提出并证明了原系统渐近稳定的充分条件。
Rules of Oscillation and Global Asymptotic Stability for a Fourth-Order Rational Difference Equation 一类四阶有理差分方程的振动规律和全局稳定性
Our aim in writing this paper is to establish new decision theorem which give weakly indexed asymptotic stability of functional differential equations with bounded time delay arguments. 本文给出有界的时滞泛函微分方程的弱指数渐近稳定性的一个新的判定定理。
The Fixed Point Theorem and Asymptotic Stability of a Delay-differential System 不动点定理和时滞微分系统的渐近稳定性
The asymptotic stability of the rarefaction wave has been established for the impermeable wall problem under small perturbation conditions and non-isothermal conditions. 讨论了半空间中满足无渗透边界条件的一维黏性可压缩热传导流体的流动,给出了在小扰动和非等温条件下稀疏波的渐进稳定性。
Asymptotic Stability for a Neutral Differential Equation with Unbounded Delays 一类无界时滞中立型微分方程的渐进稳定性
On the output feedback control and global asymptotic stability for a family of nonlinear systems 一类非线性系统的输出反馈控制及全局渐近稳定性研究
The global asymptotic stability of the closed-loop system is proven by showing that it has no finite escape time and converges to an asymptotically stable dynamics in finite time. 通过表明闭环系统不会有限逃逸且于有限时间后收敛为渐近稳定的动态,证明了闭环系统的全局渐近稳定性。
In this paper we prove the strong asymptotic stability of global solution to the initial boundary problem for nonlinear degenerate wave equation by means of the method in M. 的方法证明了一类非线性退化波方程初边值问题整体解的强渐近稳定性。
On Asymptotic Stability for Discrete-time Delay Linear Systems with Control Saturation 控制饱和离散时滞线性系统的渐近稳定性
Mean-Square Asymptotic Stability of θ-Methods for Nonlinear Stochastic Pantograph Differential Equations 非线性随机Pantograph微分方程及其θ-方法的均方渐近稳定性
A new method to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is introduced. 冯平提出了一种新的分析具有分解形式的高维非线性电路平衡点全局渐近稳定的方法。
Asymptotic Stability of Linear Multistep Methods for Generalized Neutral Delay Differential-Algebraic Equations 线性多步法求解广义中立型滞时微分代数方程组的渐近稳定性(英文)中立型时滞抛物偏微分方程组解的振动性
Globally asymptotic stability of BAM networks with discrete and distributed delays 具时滞离散和分布BAM神经网络的全局渐近稳定性