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网络Lyapunov; A. Lyapunov

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普诺夫

普诺夫

Lyapunov

这首作品有一个由里亚普诺夫(Lyapunov)改编的乐队改编版，其乐队演奏的版本，可选斯维特兰诺夫(Svetlanov)指挥前苏联广 …

A. Lyapunov

从十九世纪末到二十世纪中叶，经过庞加莱、利雅普诺夫 (A. Lyapunov)、弗兰克林 (P. Franklin)、马科夫 (A. Markov)、伯 …

1

The energy flux through the ecosystem is being in a transition from a labile state to a stable state of balance .

根据李亚普诺夫稳定性原理，该系统能量流动过程的平衡态具有渐近稳定性。

2

By means of Lyapunov stability theorem , it is proved that the dynamics of the synchronization error is globally and asymptotically stable .

利用李雅普诺夫稳定性定理，证明了同步误差系统是全局渐近稳定的。

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The stability of the error system is analyzed by a Lyapunov function, which shows that the errors are exponential convergent .

利用李亚普诺夫函数分析了误差系统的稳定性，说明误差是指数收敛的。

6

Based on a parameter dependent Lyapunov function , sufficient conditions for the robust stability of the system were given .

基于参数相关的李亚普诺夫函数，给出了系统稳定的充分条件。

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On the contrary, only through calculate a set of linear algebraic equations can obtain the explicit composite Lyapunov function.

这种方法只需通过计算代数方程就可以求出系统的复合李雅普诺夫方程。

8

The global stability of the system is proved by the Lyapunov stability theory .

对于系统全局稳定性，采用李雅普诺夫稳定性理论给出了严格的证明。

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Then the global stability of the control law was also achieved by adding of cross terms in Lyapunov candidate function .

并通过在李亚普诺夫函数中引入交叉项证明了控制律的全局稳定性；

10

The analysis indicates that the equilibrium point of the dynamic system is essential in asymptotically stable .

通过定性分析表明系统的原点平衡状态是渐进（李亚普诺夫意义下）稳定的；

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The first one is the feedback control law , which can eliminate the nominal term in the derivative of a Lyapunov function .

第一部份为回授控制器，目的在计算李亚普诺夫方程式微分时消除可量测之回授信号。

13

By applying bifurcation diagram and phase diagram are presented to analyze periodic oscillation state and chaos motions .

利用数值结果，相图和李雅普诺夫指数分析了系统的周期振荡态和混沌态运动过程。

14

Lyapunov stability theorem is applied to prove the algorithm convergence .

用李亚普诺夫稳定性理论分析了算法的收敛性。

15

By theoretical analysis, it is shown that tracking error converges to a small neighborhood of zero .

通过李亚普诺夫方法，证明了跟踪误差收敛到零的一个小邻域内。

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Conditions for permanence is established via the method of comparison involving multiple Liapunov functions .

进而，利用李雅普诺夫函数和比较定理确定了持续生存的条件。

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According to the Lyapunov method , the closed-loop adaptive control system is proven to be global . . .

利用李亚普诺夫方法，证明了自适应控制系统是全局稳定的，跟踪误差收敛到零。

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This paper uses a piecewise linear Lyapunov function and derives a new estimate for solutions of linear time-varying systems .

给出了利用特征根、中心流形和李雅普诺夫函数判断非线性自治系统奇点稳定性的方法。

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With Lyapunov theory , it is proven that the overall system is uniformly ultimately bounded .

基于李亚普诺夫原理，证明了闭环系统最终一致有界。

23

In chapter 3, we have proven the stability of the equilibrium point by stochastic Lyapunov function .

第三章利用随机李雅普诺夫函数方法证明了随机竞争模型平衡点的稳定性。

24

An equivalent error model of SINS was established by Lyapunov transform .

首先建立了一种基于李雅普诺夫变换的 SINS 等价误差模型。

25

A learning algorithm based on Lyapunov stability is derived to fuzzy relational model identification in this paper .

本文在李雅普诺夫稳定性意义下，提出了一种辨识模糊关系模型的学习算法。

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Lyapunov Criteria for Structural Stability of a Class of Nonlinear Singular Systems

一类非线性广义系统结构稳定的李亚普诺夫判据

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Constructing Common Quadratic Lyapunov Functions for a Class of Stable Matrices

一类稳定矩阵的共同李雅普诺夫函数的构造

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The Application of the Control Lyapunov Function to Stabilization Designs

控制李雅普诺夫函数的镇定应用

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