By using Lyapunov approach and linear matrix inequality technique, a sufficient condition for the existence of re...
最后，通过一个数值例子验证了所得结果的正确性。
The varible of the response system is substituted with the variable of the drive system and the forcing synchronous components equal to zero so that the response system synchronizes with the drive system.
将驱动系统的变量替代响应系统的变量，使Lyapunov函数导数的强迫项变为0，响应系统与驱动系统达到同步。
To guarantee convergence and fast learning, adaptive learning rates are developed based on Lyapunov function.
推导了多输出自递归神经网络的学习算法，并基于Lyapunov能量函数推导了保证网络快速收敛的自适应学习率。
Based on the Lyapunov stability theory, a delay-dependent criterion is proposed to guarantee stabilization of the closed-loop system.
应用Lyapunov稳定性理论，得到了时滞相关的判据以保证闭环系统的鲁棒镇定性。
Is also analyzed based on the sensitivity to initial conditions via computing the Lyapunov exponent, strange attractor
文章通过采用计算最大Lyapunov指数的方法测试初值敏感性、针对给定仿真条件下
They are systematic characteristics of solving trucks in geometry, the message of strange attractor containing in the system, the fractal dimension of the spectrum and the Lyapunov exponent of the system.
并通过系统解轨道的几何特征、系统中所蕴含的奇怪吸引子的信息、载荷谱的分维值、系统的Lyapunov指数谱等对载荷谱进行了有效的混沌识别。
Optical communication; security; strange attractor; the largest Lyapunov exponent; wolf method; false nearest neighbours method; polarization-shift keying modulation; fiber ring laser
光通信；保密性；奇异吸引子；最大李氏指数； wolf法；最小伪邻点法；偏振态移位键控；光纤环形激光器
On the other hand, by constructing new auxiliary equations and employing theory of almost periodic differential equations and compressive mapping principle, existence of almost periodic solution is investigated for Cohen-Grossberg neural networks with delay and almost periodic coefficients, furthermore, sufficient condition is given to guarantee global convergence of solutions by Lyapunov method.
另外还通过构造新的辅助方程，运用概周期微分方程理论和压缩映像原理研究了具延迟及概周期系数的Cohen-Grossberg神经网络的概周期解的存在性，通过Lyapunov方法给出了全局收敛性的充分条件。
By constructing suitable Lyapunov functions, we establish sufficient criteria for asymptotic stability of the zero solutions.
利用构造Lyapunov函数的方法，给出了零解的渐近稳定的充分条件。
Quasi Hamiltonian system; nonlinear stochastic optimal control; robustness; robust control; parametric uncertainty; uncertain disturbance; Bouc-Wen hysteretic system; Preisach hysteretic system; minimax optimal control; stochastic stabilization; stochastic averaging method; stochastic dynamical programming principle; stochastic differential game; maximal Lyapunov exponent
国家自然科学基金；拟Hamilton系统；非线性随机最优控制；鲁棒性；鲁棒控制；参数不确定性；不确定扰动； Bouc-Wen滞迟系统； Preisach滞迟系统；极小极大最优控制；随机稳定化；随机平均法；随机动态规划原理；随机微分对策；最大Lyapunov指数
In this paper we present a converse Lyapunov theorem for globally uniform asymptotically controllably switched systems. And we consider general nonlinear switched systems.
本文对一类全局一致渐进能控的非线性切换系统的控制Lyapunov函数的存在性进行了研究，证明了一个非线性切换控制系统如果是一致全局渐进能控的，那么存在一个公共的控制Lyapunov函数。
Stability in the sense of Lyapunov, boundedness, optimal control and converse theorem about Lyapunov stability of hybrid dynamical systems are four topics studied in this dissertation. This dissertation is arranged in five chapters.
本论文针对具体的混合动态系统关于其不变集的Lyapunov稳定性，混合动态系统的有界性，最优控制以及Lyapunov逆定理等问题进行了研究，论文总共分为五章。
The Lyapunov theorem and its converse theorem of globally exponential stability for the discrete-time systems family in which the sampling period is a parameter are proved.
对以采样周期为参数的离散时间系统族，证明了全局指数稳定的Lyapunov定理和逆定理。
A fixed point of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.
本文首先介绍了几类离散神经网络模型的由来及其研究概况，利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性，利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。
In this thesis, we firstly introduce several class of discrete-time neural network models and the research progress of the neural networks. By Schauder fixed-point principle we prove the existence of an equilibrium (i. e. a fixed point) of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.
本文首先介绍了几类离散神经网络模型的由来及其研究概况，利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性，利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。
The state space s of some selected signals are built on the base of taken theorema, nd their largest Lyapunov exponents.
通过实验，使用高频水听器采集3种常用不同结构空化喷嘴产生的空化噪声信号，选取其中的信号，以Takens定理为基础，进行相空间重构，并分别计算其最大Lyapunov指数值。
In Chapter one, firstly, the importantconcept of global attractor and absorbing sets are given, and then, a generalresult which ensures the existence of global attractor is proven.
在第一章中首先介绍了全局吸引子和吸收集的概念，然后给出了全局吸引子的存在性定理；第二章证明了生态学中一类含时滞的反应扩散方程全局吸引子的存在性，然后用数学归纳法以及对该模型的细致分析又给出了全局吸引子的正则性估计；第三章中，通过构造一个合适的Lyapunov泛函，证明含时滞的Fitz-Hugh-Nagumo系统在一定的条件下拥有一个全局吸引子。
Based on the assumption of the small perturbance, sufficient conditions of permanence for above systems are obtained by employing the known conclusions and Lyapunov function method.
在扰动适当小的假设下，应用有关脉冲自治系统的结论和Lyapunov 方法讨论该扰动系统的持续性问题，给出了该类系统持续生存的充分条件。
And this scheme guarantees the convergence to the tracking error.
根据Lyapunov稳定原理，给出了系统稳定的充分条件。
Computer analysis accomplished various linear and nonlinear estimations of heart rate variability, including mean and standard deviation of R-R intervals, low-frequency power (LF, 0.04-0.15 Hz), high frequency power (HF, 0.15-0.4 Hz), LF to HF ratio, correlation dimension, approximate entropy, and largest Lyapunov exponent.
每位受试者接受五分钟的心电纪录，并由电脑程式进行非线性与线性分析，前者包括Correlation Dimension，Approximate Entropy，与Largest Lyapunov Exponent，后者包括平均心率周期、心率标准差、低频功率(LF，0.04-0.15 Hz)、高频功率(HF，0.04-0.15 Hz)，与低／高频功率比值。