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李亚普

李亚普

李亚普

李亚普

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The energy flux through the ecosystem is being in a transition from a labile state to a stable state of balance .

根据李亚普诺夫稳定性原理，该系统能量流动过程的平衡态具有渐近稳定性。

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The stability of the error system is analyzed by a Lyapunov function, which shows that the errors are exponential convergent .

利用李亚普诺夫函数分析了误差系统的稳定性，说明误差是指数收敛的。

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Based on a parameter dependent Lyapunov function , sufficient conditions for the robust stability of the system were given .

基于参数相关的李亚普诺夫函数，给出了系统稳定的充分条件。

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Composite control ; Lyapunov method; Singularly perturbed system; Bilinear system; Observer-based controller; Controller design .

合成控制法；李亚普诺法；殊异扰动系统；双线性系统；观测型控制器；控制器设计。

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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；

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The analysis indicates that the equilibrium point of the dynamic system is essential in asymptotically stable .

通过定性分析表明系统的原点平衡状态是渐进（李亚普诺夫意义下）稳定的；

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The first one is the feedback control law , which can eliminate the nominal term in the derivative of a Lyapunov function .

第一部份为回授控制器，目的在计算李亚普诺夫方程式微分时消除可量测之回授信号。

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Lyapunov stability theorem is applied to prove the algorithm convergence .

用李亚普诺夫稳定性理论分析了算法的收敛性。

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By theoretical analysis, it is shown that tracking error converges to a small neighborhood of zero .

通过李亚普诺夫方法，证明了跟踪误差收敛到零的一个小邻域内。

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According to the Lyapunov method , the closed-loop adaptive control system is proven to be global . . .

利用李亚普诺夫方法，证明了自适应控制系统是全局稳定的，跟踪误差收敛到零。

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With Lyapunov theory , it is proven that the overall system is uniformly ultimately bounded .

基于李亚普诺夫原理，证明了闭环系统最终一致有界。

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At the same time, a novel nonlinear control is designed based n the Lapunov stability theory to realize its synchronization .

与此同时，基于李亚普洛夫函数的方法，设计了一个新的非线性控制器实现了新混沌系统的同步。

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While the core of online part is based on Lyapunov Reference Model Adaptive Algorithm .

在线部分的核心基于李亚普洛夫参考模型自适应算法。

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Lyapunov Criteria for Structural Stability of a Class of Nonlinear Singular Systems

一类非线性广义系统结构稳定的李亚普诺夫判据

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Lyapunov criteria for structural stability of bilinear generalized system

双线性广义系统结构稳定的李亚普诺夫判据

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