Control problem for a class of time-delay systems with neutral nonlinear vibration is researched in this paper based on Lyapunov stability theory. 文章研究了一类中立型带有非线性摄动的时滞系统的性能问题。
First, according to the tracking error dynamics and kinematics described by unit quaternion error and angular velocity error, a sliding mode controller is derived based on Lyapunov theory. 首先根据由误差四元数和误差角速度描述的跟踪误差动力学和运动学方程,设计了基于李亚普诺夫方法的滑模变结构控制律。
Power system Transient stability Direct method of Lyapunov Transient energy function; 电力系统;暂态稳定;李雅普诺夫直接法;暂态能量函数;
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。
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。
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。
Talking on the theory, methods and application of Lyapunov stability 漫谈Lyapunov稳定性的理论、方法和应用
A Performance Comparison of Two Kinds of Quantum Control Methods Based on Lyapunov Theorem 两种基于李雅普诺夫的量子控制方法的性能对比
An Improved Method for Forecasting Chaotic Time Series Based on Maximum Lyapunov Exponent 基于最大李亚普诺夫指数的改进混沌时间序列预测
Lyapunov method based stability analysis shows that all the signals in the closed-loop are stable. 定性分析表明,该闭环系统中的所有信号都是稳定的。仿真结果验证了控制器的有效性。
Adaptive Volterra Noise Cancellation Based on Lyapunov Stability Theory 基于Lyapunov稳定性理论的Volterra自适应噪声对消器
Discontinuous regression tree estimation of largest Lyapunov exponent 基于不连续回归树的最大李雅谱诺夫指数计算方法
The definition of the minimum switching strategy is given, and it is proved that the systems stability based on Lyapunov functions can be maintained with the minimum switching strategy. 对最小切换策略进行了定义,并在理论上证明了该切换策略能保持系统在李雅普诺夫意义下的稳定性。
Spectral analysis of Lyapunov exponents for a two-degree-of-freedom vibro-impact system 两自由度碰撞振动系统的Lyapunov指数谱分析
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。
Transverse vibration control of an axially moving string system by Lyapunov method; 综述轴向运动弦线纵向振动及其控制问题的研究进展。
The structure of V function in Lyapunov's stableness theory 李雅普诺夫稳定性理论中V函数的构造研究
The practical stability in terms of two measures of impulsive differential systems and its perturbed systems is developed by Lyapunov direct method. 运用李雅普诺夫直接方法研究了脉冲微分系统及其摄动系统关于两个测度的实际稳定性。
Analysis of Panel Thermal Flutter Using Maximum Lyapunov Exponent 基于最大李雅普诺夫指数的壁板热颤振特性分析
A new estimation for positive definite solution to discrete Lyapunov equation with parameter disturbance is presented. 从而为基于李雅普诺夫方程的系统分析及控制问题提供必要的理论分析基础。
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。
Based on conditional Lyapunov exponent, the impulsive synchronization form and interval of chaotic systems are studied, which breaks the traditional basic assumptions. 基于条件李亚普诺夫指数,对混沌系统的脉冲同步形式和同步范围进行了研究,突破了传统的基本假设。
Specifically, Lyapunov techniques are fused with LaSalle's Invariance Theorem to prove that the constructed nonlinear controllers achieve asymptotic regulation of the crane system. 本文通过将李亚普诺夫方法与拉塞尔不变性原理相结合,证明了所设计的控制算法能实现吊车系统的渐近镇定。
Study on the generalized projective synchronization of improved invariable-Lyapunov-exponent-spectrum chaotic system 改进恒Lyapunov指数谱混沌系统的广义投影同步研究
Variational Lyapunov Method and Stability of Impulsive Switched Systems with Time Delay 变分Lyapunov函数方法与脉冲时滞切换系统的稳定性
Some Estimates for the Solution of the Lyapunov Matrix Equation and the Riccati Matrix Equation Lyapunov矩阵方程和Riccati矩阵方程解的一些估计
Firstly, analyze the control method in theory and construct Lyapunov functions, and then test its correctness by simulation experiment. 首先在理论上分析该方法并构造李亚普诺夫函数,然后通过实验仿真来验证它的正确性。
The results show that both periodic and transitional chaotic sequences have positive maximum Lyapunov exponent, and the small data sets method is robust to the finite word length of the computer. 通过数值计算结果表明:有限字长混沌序列的周期态和过渡态都具有正的最大Lyapunov指数,且小数据量法对有限字长效应是鲁棒的。
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;
Sacker-Sell Spectrum and Lyapunov Spectrum for Random Dynamical Systems 随机动力系统中的Sacker-Sell谱与Lyapunov谱