系统函数

Firstly, analysis on the problem of stability for the closed loop system in one form of the above system is presented by constructing singular Lyapunov function, a sufficient condition on E-asymptotic stability of the system is given.

首先通过构造广义Lyapunov函数的方法，对其中一类形式的闭环系统稳定性问题进行分析，给出了系统零解E-渐近稳定的充分条件。

By constructing singular Lyapunov function, the conditions of making a closed loop system stable under the condition not decomposing the system are also researched.

同时研究了不分解系统，通过构造广义李雅普诺夫函数的方法，给出了使闭环系统稳定的条件。

Dual function one direction singular rough sets is a novel theory and method in recognizing the turbulent law existed in the system and recognizing the system law.

函数单向S-粗集对偶是识别系统中存在干扰规律，识别系统规律的一个新的理论与方法。

This kind of decoupling is enabled by introduction of an additional slack variable and enables us to obtain a parameter-dependent Lyapunov function for polytopic uncertain systems.

与已有的判据相比，该准则呈现出Lyapunov矩阵与系统矩阵之间分离的特性，使得将其应用于不确定系统时能够得到参数依赖型Lyapunov函数。

The fact that the naural projection is smooth and proper Fredholm map of index zero has been proven which enables us to show that the Brouwer degree of the natural projection is equal to unity.

第六章用经管系统解释和描述了经济与经营管理的最优化行为，建立了经管系统的特征方程，给出了生产函数与特征方程间的关系，以及经管变换的确定方法。

This paper using trajectory planning based on spline function,rigid robot Lagrangian kinetics set up system mathematical model.

论文运用了基于插值样条函数的轨迹规划法，机器人手臂拉格朗日动力学方程建立了系统数学模型，为自动包装机机器人手臂系统设计提供了新思路。

Secondly, based on some results of the robust stability of discrete singular systems with time-delays, a switching function with difference compensator is designed, which guarantees that movement of the system is asymptotically stable in a quasi-switching manifold.

其次，在上述分解的基础上，根据离散时滞广义系统鲁棒稳定性的有关结果，设计了带有差分补偿器的切换函数，使得系统在准切换流形上的运动渐近稳定。

Using the discrete dynamical system determined by the stroboscopic map, an exact 1-periodic solution of the system which is with Beverton-Holt function and the threshold conditions for its stability are obtained.

运用由频闪映射决定的离散动力系统，得到了具 Beverton-Holt 功能函数系统的精确1-周期解，并讨论了它在临界条件下的稳定性。

First of all, a system of linearized equations was set up with respect to an atmosphere at rest, and a couple eigenvalue-eigenfunction problem was formulated, which consists of horizontal and vertical structure equations with suitable boundary conditions.

首先，建立了静止大气状态下模式的线性化系统，并在适当的边界条件下将线性化系统分解成具有垂直与水平结构方程的本征值、本征函数耦合问题。

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。