Then,the Lyapunov function,linear matrix inequality(LMI) methods were used to derive a sufficient condition,which could ensure that the NCS was asymptotically stable.
然后采用李亚普诺夫函数、线性矩阵不等式的方法推导出了该网络化控制系统渐近稳定的充分条件。
The Lyapunov function,linear matrix inequality(LMI) methods are used to derive a sufficient condition,which can guarantee that the NCS is asymptotically stable.
针对一类具有等式约束的网络控制系统控制器、采样周期以及最大允许延迟时间的设计问题,采用李亚普诺夫函数、线性矩阵不等式的方法,推导出了该网络控制系统渐近稳定的充分条件。
The local optimal controller gain which ensures that network control system is asymptotically stable and that there exists maximum-variable interval was designed,and a theorem for the stability of state feedback network control systems was .
假定延时恒定且小于1个采样周期,采用Lyapunov函数、线性矩阵不等式(LMI)以及区间矩阵的概念,对状态反馈回路网络化的控制系统控制器增益进行设计,以寻求某个局部最优控制器增益,使网络化控制系统渐近稳定并同时使该控制器增益可变区间达到最大。
Global asymptotic stability of a class of third-order nonlinear delay system;
一类三阶非线性时滞系统的全局渐近稳定性
The asymptotic stability and stabilization for singular large-scale systems;
广义大系统的渐近稳定与镇定
H_∞ asymptotic stability for a classof uncertain time-delay switched systems;
一类不确定时滞切换系统的H_∞渐近稳定性
A switching strategy was proposed to realize the asymptotical stability of switc hed linear systems.
给出实现线性开关系统渐近稳定的切换策略·该策略的提出基于以下思想:首先将线性开关系统通过切换渐近稳定到原点问题看成系统误差最小化问题,然后基于梯度优化方法选择要运行的子系统,构成切换序列·另外,提出线性开关系统渐近稳定的充要条件·该方法适合于高阶线性开关系统,且子系统可以是不稳定的·仿真实验证实该方法简捷、有效
Bounded stability and asymptotical stability of the equation (*) are both analysed.
分析了方程 ( )的有界稳定性和渐近稳定性 。
Secondly,it was proved that the controller in this paper made the entire systems asymptotical stability.
针对这类非线性系统的特殊情形,运用backstepping方法,先设计其具有严格三角结构形式的嵌入子系统的控制器,进而推出整个系统的控制器,并利用Lyapunov方法证明所设计的控制器能使整个系统是渐近稳定的。
In this paper,we investigate the asymptotically stability and the exponential stability for a kind of interval delay dynamical systems:x(t)=N[P,Q]+N[C(t) +N[C(t)]x(t-τ)τ≥0.
本文研究如下单滞后时变区间动力系统ｘ（ｔ）＝Ｎ［Ｐ，Ｑ］ｘ（ｔ）＋Ｎ［Ｃ（ｔ），Ｄ（ｔ）］ｘ（ｔ－τ），τ≥０的渐近稳定性和α稳定性，给出了其渐近稳定和α稳定的充分条件，推广和改进了文［１，２］的工作。
Liapunov theorem of asymptotic stability
李雅普诺夫渐近稳定性定理
By the corollary to Theorem 4.3, the origin is asymptotically stable.
根据定理4．3的推论，原点是渐近稳定的。
The study of the global aymptotic stability of the equilibrium point of nonlinear circuits by strongly strucutre turbluence theory;
确定非线性电路平衡点全局渐近稳定
One-side Stability and One-side Asymptotically Stability of Zero Solution of Two Dimensions System;
平面系统零解的单侧稳定性及渐近稳定性
The Asymptotical Stability of Numerical Methods for Impulsive Differential Equation;
脉冲微分方程数值方法的渐近稳定性
Asymptotic Stability of Rarefaction Wave for Generalized Burgers Equation;
广义Burgers方程稀疏波的渐近稳定性
Global asymptotic stability of the zero solution for a generalized Liénard system;
广义Liénard系统零解的全局渐近稳定性
Asymptotically Stability of Discrete-Time Singular Systems with State Delay;
具时滞的离散广义系统的渐近稳定性
The Asymptotic Stability of a Kind of Linear Distributed Parameter Problems;
一类线性分布参数问题的渐近稳定性
Global Asymptotic Stability for Cohen-Grossberg Neural Networks with Time Delays
时滞Cohen-Grossberg神经网络的全局渐近稳定性
Research on global asymptotic stability of n-dimension cooperation system
N维合作系统全局渐近稳定性的研究
Asymptotic Stability Study of Hopfield Neural Networks with Delay
具有时滞的Hopfield神经网络的渐近稳定性
Global Asymptotic Stability of a Class of Rational Difference Equation
一类有理差分方程的全局渐近稳定性
Asymptotic Stability of Impulsive Delay Logistic Equations
带脉冲的时滞Logistic方程的渐近稳定性
GLOBAL ASYMPTOTIC STABILITY ANALYSIS AND IMPROVEMENT ON CELLULAR NEURAL NETWORK
CNN的全局渐近稳定性分析与改进
A weak condition for asymptotic stabilitgy of trivial solution of Lienard equation
Lienard方程零解渐近稳定性的一个弱条件
Global Asymptotic Stability of N-species Cooperative Reaction-Diffusion Systems With Time Delays
N种群的互惠模型的全局渐近稳定性
The Asymptotically Stability of Belousov Zhabotinsky System
Belousov Zhabotinsky化学反应系统的渐近稳定性