Lyapunov函数,Lyapunov function
1)Lyapunov functionLyapunov函数
1.Design of feedback controllers and simulation for control systems with nonsmoothLyapunov function;具有非光滑Lyapunov函数控制系统的反馈控制器设计及仿真
2.Lyapunov function and controllability of nonlinear switched systems;Lyapunov函数与非线性切换系统的能控性
3.Decomposition of large-scale interval dynamic systems──method of weightedLyapunov function;区间动力大系统的分解──加权Lyapunov函数法
英文短句/例句
1.Strict Lyapunov Functions for Nonlinear Discrete-Time Systems非线性离散系统的严格Lyapunov函数
mon lyapunov functions for switched linear systems关于线性切换系统的共同Lyapunov函数
3.The construction of control Lyapunov functions for linear multivariable systems线性多变量系统的控制Lyapunov函数构造
4.Multi-Objective Optimal Theory and Its Application via Paramater-Dependent Lyapunov Function;基于参数依赖Lyapunov函数的多目标优化理论及应用
5.The Variational Lyapunov Function Method and the Stability Theory of Impulsive Hybrid Systems;变分Lyapunov函数方法与脉冲混合系统的稳定性理论
6.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
7.Synthesis and Engineering Application of Uncertain Dynamic Systems Based on Parameter-Dependent Lyapunov Function;基于参数依赖Lyapunov函数的不确定动态系统的综合及其工程应用
8.Construction of Lyapunov Function and Stability Analysis of a Class of Fourth-order Nonlinear System;一类四阶非线性系统的Lyapunov函数的构造与稳定性分析
9.Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach不确定切换奇异系统的鲁棒容许性分析:切换Lyapunov函数方法(英文)
10.Constructing of Lyapunov function for general Lurie indirect control systems;一般Lurie间接控制系统的LYAPUNOV函数构造
11.Studies on Linear Time-varying System of the Structure of Lyapunov’s Function;特殊线性时变系统的lyapunov函数的构造研究
12.Robust H_∞ control of fuzzy system via fuzzy Lyapunov-krasovskii function基于模糊Lyapunov-Krasovskii函数的模糊系统的鲁棒H_∞控制
13.THE LYAPUNOV EXPONENT OF VORTEX DYNAMICS点涡动力系统的Lyapunov指数
14.Variational Lyapunov Method and Stability Theory for Impulsive Functional Differential Systems;变分Lyapunov方法与脉冲泛函微分系统的稳定性理论
15.On the bound of the Lyapunov exponents for fractional systems分数阶微分系统Lyapunov指数界的估计
16.Matrix Bounds for the Solution of Algebraic Lyapunov Equation Using Delta Operator;基于Delta算子代数Lyapunov方程解的一些估计
17.Normal Lyapunov Exponents and Asymptotically Stable Attractors;法向Lyapunov指数与渐进稳定的吸引子
18.The Estimation of the Solutions of the Algebraic Lyapunov Equation and Riccati Equation;代数Lyapunov方程与Riccati方程解的估计
相关短句/例句
Lyapunov functionsLyapunov函数
1.Sufficient conditions for absolute stability of such systems are obtained by constructingLyapunov functions,Using Razumikhin s conditions and combining Riccati matrix inequalites.通过构造合适的Lyapunov函数,利用Razumikhin条件,并借助Riccati矩阵不等式,获得了该控制系统绝对稳定性的充分条件。
2.Based on the properLyapunov functions and analysis for the Jacobsthal inequality,some new sufficient conditions for global exponential stable of the delayed competitive neural networks with different time scales are given.对于不同时标的时变时滞竞争神经网络的网络模型,通过构造适当的Lyapunov函数,结合微分不等式分析,研究了时变时滞竞争神经网络的全局指数稳定性,获得了新的全局指数稳定性判据,所得判据推广和改进了前人的相关结论。
3.Sufficient conditions for asymptotic stability are presented by using single Lyapunov function and multipleLyapunov functions.使用切换技术及单Lyapunov函数和多Lyapunov函数方法,给出了这一类切换模糊时滞系统渐近稳定的充分条件及切换律。
3)Lyapunov functionalLyapunov函数
1.By employing appropriateLyapunov functional,stability theory and the method controled by impulses,it is proved that unstable second order differential equations can be stabilized by imposition of impulsive controls.通过构造合适的Lyapunov函数,利用稳定性理论和脉冲控制方法,证明了对于不稳定的时滞二阶微分方程,可以通过加强一定的脉冲控制使其稳定。
2.These conditions are derived by usingLyapunov functional method and combining Young inequality.通过建立Lyapunov函数,并利用Young不等式,讨论了一类变时滞细胞神经网络的全局指数稳定性,获得了与时滞无关的判定条件。
3.By making use of the theory of topology degree and introducing a new type ofLyapunov functional , some sufficient conditions for existence of equilibrum and global exponential stability of the Cohen-Grossberg neural networks are obtained.研究了一类具有反应扩散项的时滞Cohen-Grossberg神经网络模型利用拓扑度理论和Lyapunov函数方法,研究了此类系统平衡点的存在性及全局指数稳定性,给出了判定定理。
4)multiple Lyapunov function多Lyapunov函数
1.Themultiple Lyapunov function is used to study the robust H∞ control of a class of linear discrete switched systems with time-varying/delaying uncertainties.利用多Lyapunov函数方法,研究一类具有时变时滞的线性离散切换系统的鲁棒H∞控制问题。
2.Based on single Lyapunov function andmultiple Lyapunov function, respectively, two design schemes of decentralized switching laws are obtained, under which this type of systems is shown to be asymptotically stable with H∞ disturbance attenuation.主要研究一类不确定切换组合系统H∞意义下鲁棒稳定性问题,利用单Lyapunov函数和多Lyapunov函数技术,给出了使这类系统渐近稳定且具有H∞扰动衰减度的两种分散切换律的设计方案。
3.Based on single Lyapunov function technique andmultiple Lyapunov function technique, two laws of switching between controllers are designed respectively, under which the systems are stabilizable with H_∞ disturbance attenuation.分别利用单Lyapunov函数方法和多Lyapunov函数方法给出了控制器的两种切换方案,这两种方案都能保证线性不确定时滞系统的镇定和H∞扰动衰减度,并由两个耦合的线性矩阵不等式的解给出了两个静态状态反馈H∞控制器的设计。
5)multiple Lyapunov functions多Lyapunov函数
1.First,the robust stability and disturbance attenuation performance for the switched systems with state feedback controllers are analyzed based on themultiple Lyapunov functions method,and the sufficient conditions for the switched systems to be robust stable with H∞ disturbance attenuation is derived.首先基于多Lyapunov函数法分析含有状态反馈控制器的切换系统的鲁棒稳定性和干扰抑制性能,得到了切换系统鲁棒稳定且具有H∞扰动衰减度的充分条件。
2.Usingmultiple Lyapunov functions analysis, the switching stability of hybrid power system with OLTC is analyzed when discrete event actions occur.提出了分析混杂电力系统切换稳定的多Lyapunov函数方法 ,并运用多Lyapunov函数分析了混杂电力系统切换的稳定性。
3.The stability results are proved by using common Lyapunov function andmultiple Lyapunov functions respectively.利用统一Lyapunov函数和多Lyapunov函数给出了定理的证明。
6)multiple-Lyapunov function多Lyapunov函数
1.Based onmultiple-Lyapunov function method, a conceptual design is given to the hybrid state feedback controllers to gurantee cost such that the corresponding closed-loop system is globally asymptotically stable for all admissible uncertainties, to which a sufficient condition is given in terms of linear matrix inequalities (LMI).针对一类线性不确定切换系统,对保成本鲁棒控制问题进行了研究·利用多Lyapunov函数法,给出了混杂状态反馈保成本控制器的设计方案,使得闭环系统对所有允许的不确定性,在所设计的混杂状态反馈控制器下是渐近稳定的,并应用线性矩阵不等式(LMI)的可解性给出闭环系统渐近稳定的充分条件,同时给出了二次型成本函数的一个上界·最后用仿真结果验证了所设计方法的有效性
延伸阅读
高斯函数模拟斯莱特函数尽管斯莱特函数作为基函数在原子和分子的自洽场（SCF）计算中表现良好，但在较大分子的SCF计算中，多中心双电子积分计算极为复杂和耗时。使用高斯函数(GTO)则可使计算大大简化,但高斯函数远不如斯莱特函数(STO)更接近原子轨道的真实图象。为了兼具两者之优点，避两者之短,考虑到高斯函数是完备函数集合,可将STO向GTO展开：式中X(ζS,A,nS,l,m)定义为在核A上，轨道指数为ζS，量子数为nS、l、m 的STO；g是GTO： 其变量与STO有相似的定义；Ngi是归一化常数： rA是空间点相对于核A的距离;ci是组合系数；K是用以模拟STO的GTO个数（理论上，K→∞，但实践证明K只要取几个，便有很好的精确度）。ci和ζ在固定K值下, 通过对原子或分子的 SCF能量计算加以优化。先优化出 ζS＝1 时固定K值的ci和(i＝1,2,...,K)，然后利用标度关系式便可得出ζS的STO展开式中每一个GTO的轨道指数，而且，ci不依赖于ζS,因而ζS＝1时的展开系数就是具有任意ζS的STO的展开系数。对不同展开长度下的展开系数和 GTO轨道指数已有表可查。
