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- scalar Lyapunov function 标量李雅普诺夫函数
- Control of uncertain Nonlinear Markovian Jump Systems on the Basis of Jumping Control Lyapunov Function P. 东南大学一类不确定非线性跳跃系统控制问题。
- Search along the unstable manifolds to find the minimum points of Lyapunov function. 以该点为初值对伴随系统进行积分即可收敛到该平衡点。
- Finally, the control law of trajectory tracking is presented based on a control Lyapunov function. 基于控制李亚普诺夫函数推导出了轨迹跟踪的控制律。
- The stability of the optimization behavior is analyzed by applying Lyapunov function to the error dynamic system. 通过粒子的轨迹分析，得出轨迹收敛的采样时间约束条件。
- The second one is the switching control law, which can determine the decreasing rate of the Lyapunov function. 第二部份是切换控制器，用来决定李亚普诺夫方程式递减的速度。
- A class of linear sliding manifolds is selected in terms of the error quaternion.Based on a Lyapunov function candidate,the SMC algorithm is derived. 利用误差四元数建立数学模型，选择了一类线性滑动流形，并且基于李雅普诺夫函数推导出滑模控制律。
- 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。
- 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。
- The key of the method is that a new control Lyapunov function (CLF) and a control law are chosen when the actuator saturation occurs. 该方案的核心思想是在发生饱和的时候重新选取控制李雅普诺夫函数和自适应律。
- Then, the Lyapunov function and linear matrix inequality (LMI) methods are used to derive a sufficient condition for the asymptotical stability of the hybrid system. 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混合系统渐近稳定的一个充分条件。
- 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。
- The Lyapunov function,linear matrix inequality(LMI) methods are used to derive a sufficient condition,which can guarantee that the NCS is asymptotically stable. 采用李亚普诺夫函数、线性矩阵不等式的方法推导出一类网络化控制系统渐近稳定的充分条件。
- Furthermore, network adaptive control technique was used to compensate system uncertainties and the stability analysis was conducted by using Lyapunov function. 智能控制的引入使得控制器具有很强的自学习能力和自适应能力，可有效降低不确定因素对系统产生的影响。
- Then, by Lyapunov function and linear matrix inequality (LMI), the sufficient conditions are given to make the singular networked control system exponentially stable. 利用李雅普诺夫函数方法和线性矩阵不等式方法，给出了广义网络控制系统指数稳定的充分条件。
- By using single Lyapunov function technique, sufficient conditions of robust stabilization for uncertain switched composite large-scale systems are obtained respectively. 利用单李雅普诺夫函数方法，得到了不确定切换组合大系统鲁棒可稳的充分条件。
- The Lyapunov function, linear matrix inequality (LML) methods are used to derive a sufficient condition, which can guarantee that the NCS is asymptotically stable. 采用李亚普诺夫函数、线性矩阵不等式的方法推导出一类网络化控制系统渐近稳定的充分条件。
- A sufficient condition of quadratic stability for the impulsive and switched systems is given with a switching law by way of convex combination and single Lyapunov function. 在有限个备选状态反馈控制器的条件下，利用凸组合技术和李雅普诺夫函数等方法，给出脉冲切换线性广义系统二次稳定的充分条件及切换律的设计。
- After choosing the corresponding Lyapunov function, the system stability can be guaranteed by using Lyapunov stability theory if the derived sufficient conditions are satisfied. 在选定适当的李亚普诺夫之后，得以应用李亚普诺夫稳定性定理来进行系统的稳定性分析。
- Sufficient conditions for stabilization of the closed-loop system are derived by constructing proper Lyapunov functionals. 构造合适的李亚普诺夫泛函，得出了闭环系统稳定的几个充分条件。
