1)  Lyapunov function
Lyapunov函
2)  Lyapunov function
Lyapunov函数
1.
Design of feedback controllers and simulation for control systems with nonsmooth Lyapunov 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 weighted Lyapunov function;
区间动力大系统的分解──加权Lyapunov函数法
3)  Lyapunov functional
Lyapunov函数
1.
By employing appropriate Lyapunov 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 using Lyapunov 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 of Lyapunov 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)  Lyapunov functions
Lyapunov函数
1.
Sufficient conditions for absolute stability of such systems are obtained by constructing Lyapunov 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 proper Lyapunov 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 multiple Lyapunov 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。
5)  multiple Lyapunov function
多Lyapunov函数
1.
The multiple 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 and multiple 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 and multiple 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。
6)  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 the multiple 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.
Using multiple 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 and multiple Lyapunov functions respectively.
利用统一Lyapunov函数和多Lyapunov函数给出了定理的证明。
参考词条
补充资料：《金匮玉函经二注》

《金匮玉函经二注》

《金匮玉函经二注》 　　金匮著作。二十二卷。清·周扬俊撰于1687年。周氏于《金匮要略》历代注家中推崇赵以德《金匮方论衍义》，遂以此书为蓝本而为之补注，故曰“二注”。补注部分多采喻嘉言学说加以融会，并有所发挥。但周氏认为“事不师古，其法不立；师古而不师圣人，其理不精”。反映了一定的尊古崇圣思想。现存多种清刻本、1949年后有排印本。

说明：补充资料仅用于学习参考，请勿用于其它任何用途。