搜索结果: 1-15 共查到“管理学 lyapunov”相关记录18条 . 查询时间(0.046 秒)
Structured and Simultaneous Lyapunov Functions for System Stability Problems
Structured Simultaneous Lyapunov Functions System Stability Problems
2015/7/13
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems
polynomial-time algorithm determining quadratic Lyapunov functions nonlinear systems
2015/7/13
We consider nonlinear systems dx/dt=f(x(t)) where Df(x(t)) is known to lie in the convex hull of L n times n matrices A_1,ldots,A_L. For such systems, quadratic Lyapunov functions can be determined us...
A Class of Lyapunov Functionals for Analyzing Hybrid Dynamical Systems
Lyapunov Functionals Analyzing Hybrid Dynamical Systems
2015/7/10
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
Fast Evaluation of Quadratic Control-Lyapunov Policy
Fast Evaluation Quadratic Control-Lyapunov Policy
2015/7/9
The evaluation of a control-Lyapunov policy, with quadratic Lyapunov function, requires the solution of a quadratic program (QP) at each time step. For small problems this QP can be solved explicitly;...
Controller Coefficient Truncation Using Lyapunov Performance Certificate
coeffi cient truncation controller design LMI methods
2015/7/9
We describe a method for truncating the coefficients of a linear controller while guaranteeing that a given set of relaxed performance constraints is met. Our method sequentially and greedily truncate...
Shannon Meets Lyapunov: Connections between Information Theory and Dynamical Systems
Shannon Meets Lyapunov Connections between Information Theory Dynamical Systems
2015/7/6
This paper explores connections between Information Theory, Lyapunov exponents for products of random matrices, and hidden Markov models. Specifically, we will show that entropies associated with fini...
Capacity of Finite State Channels Based on Lyapunov Exponents of Random Matrices
Finite-state channel hidden Markov model random matrices Shannon capacity
2015/7/6
The finite-state Markov channel (FSMC) is a timevarying channel having states that are characterized by a finitestate Markov chain. These channels have infinite memory, which complicates their capacit...
Fluid Heuristics, Lyapunov Bounds, and Efficient Importance Sampling for a Heavy-tailed G/G/1 Queue
State-dependent importance sampling Rare-event simulation Heavy-tails
2015/7/6
We develop a strongly efficient rare-event simulation algorithm for computing the tail of the steady-state waiting time in a single server queue with regularly varying service times. Our algorithm is ...
On Lyapunov Inequalities and Subsolutions for Efficient Importance Sampling
Lyapunov Inequalities Efficient Importance Sampling
2015/7/6
In this article we explain some connections between Lyapunov methods and subsolutions of an associated Isaacs equation for the design of efficient importance sampling schemes. As we shall see, subsolu...
Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices
Three-dimensional vortex configuration discrete nonlinear discrete vortex coupling
2014/12/25
We address the persistence and stability of three-dimensional vortex configurations in the discrete nonlinear Schrödinger equation and develop a symbolic package based on Wolfram’s MATHEMATICA fo...
针对离散随机Markov 跳跃系统, 基于?表示方法研究了其对应的广义Lyapunov 方程解的性质. 首先, 证明了广义Lyapunov 方程存在唯一实对称矩阵序列解的充分必要条件是系统的谱不包含零特征值; 然后, 在系统的谱包含零特征值的情况下, 分析了广义Lyapunov 方程解的结构; 最后, 通过数值仿真表明了所得结论的正确性.
切换系统的二类共同Lyapunov 函数
共同Lyapunov函数 切换系统 稳定性
2014/3/11
研究切换系统的共同Lyapunov函数存在问题。对于一类正切换系统，给出了共同Lyapunov函数存在的充分条件。当系统矩阵集为二阶矩阵紧集时，给出了判断共同Lyapunov函数存在的方法，并给出了计算共同Lyapunov函数的算法。最后通过算例验证了所提出算法的有效性。
基于隐Lyapunov 函数的软变结构控制: 一种控制策略
隐Lyapunov 函数 软变结构控制 状态观测器
2014/9/29
针对变结构控制的抖振问题, 基于隐Lyapunov 函数, 提出一种新的控制策略: 软变结构控制. 首先给出软变结构控制的定义和控制器的构造方法; 然后设计软变结构控制器和隐Lyapunov 区域, 给出了控制不受限和控制受限两种情形的软变结构控制, 同时, 分析了带有状态观测器的软变结构控制. 软变结构控制是无滑模的变结构控制, 能有效削弱抖振, 保持高速调节速度和缩短趋近时间. 仿真实例表明了...
基于非光滑的类二次型Lyapunov 函数, 对二阶滑模Super-twisting 算法的有限时间收敛性进行了分析. 当系统受常值干扰时, 通过Lyapunov 方程证明了该算法有限时间收敛, 并给出了收敛时间的最优估计; 当系统受时变干扰时, 通过求解代数Riccati 方程得出了一组保证该算法有限时间收敛的参数取值范围, 并给出了收敛时间的估计值.仿真算例表明了理论分析的正确性.
基于支持向量机回归的Lyapunov 指数计算方法研究
Lyapunov 指数 量子遗传算法 小样本
2014/9/24
Lyapunov 指数是描述动力学系统混沌性质的重要指标, 在小样本条件下准确、快速地计算Lyapunov 指数是一个难题. 对此, 提出一种基于支持向量机回归的Lyapunov 指数计算方法, 通过量子遗传算法对支持向量机模型的参数进行优化, 推导了支持向量机回归应用于计算Lyapunov 指数的公式. 通过对混沌序列进行仿真实验, 仿真结果表明, 在小样本数据情况下, 此方法可行有效.