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How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...

文中利用泛函的Gateaux微分和Hilbert空间上伴随算子的概念讨论了连续的伴随模型的建立，并通过选择适当的差分格式离散伴随模型，使其保持连续时的伴随关系，同时给出了水温初始场最优化过程及相应的同化试验数值结果。

The zero dynamics were divided into several types, and the relations between the zero dynamics of general nonlinear system and that of its adjoint system norm were discussed by using functional analysis.

佘焱将零动态分为几种类型，运用泛函分析等工具，研究了一般非线性系统与其作为仿射非线性系统的伴随系统的零动态之间的关系。

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained.

近20年来，由于微分几何等数学工具的引入，非线性控制系统的理论取得了长足的进展［1］，其中包括仿射非线性系统的精确线性化［2～4］。

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained. The conclusions include the corresponding results of the affine nonlinear systems.

引入一类相关的仿射非线性系统，通过研究一般非线性系统与其伴随系统的关系，利用伴随系统的精确线性化结论，获得一般非线性系统精确线性化的充要条件，其结果包含了仿射非线性系统的已有结果。

Exact linearization problems of general nonlinear control systems were discussed. At first, it defined an adjoint system by introducing an affine nonlinear system.

摘 要：讨论了一般非线性控制系统状态方程无反馈精确线性化及反馈精确线性化。

In the second chapter, the problem of the optimal inputting rate control for a class of competitive population dynamics system with age-structure is discussed. By means of characteristic line, Gronwall Lemma, Bellman Lemma, adjoint system and so on, the Lipschitz continuity properties of the system in terms of the control variable is certificated, and the necessary condition of the optimal control is obtained.

第二章讨论了一类具有年龄结构的竞争种群系统最优输入率控制问题，综合应用特征线法，Gronwall引理，Bellman引理，共轭系统等知识，证明了系统解关于控制变量的Lipschitz连续性，给出了控制为最优的必要条件。

The definition of adjoint pair and equivalent condition are discussed. A sufficient condition of adjoint pair is improved.

讨论伴随对定义及其等价条件，改进伴随对存在的一个充分条件。

In this paper,within the complete lattice framework, employed fuzzy logical operations and adjunction, fuzzy morphological operations have been proposed. The properties of these operations are discussed deeply.

本文在完备格的框架下，利用模糊逻辑运算及其伴随，给出模糊数学形态学运算的定义，并深入讨论了这些运算的性质。

The equivalenceof the adjunction for the grey-scale morphological dilation and erosion, and for thefuzzy conjunction and implication has been proved. A series of properties ofgery-scale morphological operators are discussed.

证明了灰度形态学膨胀和腐蚀算子之间的伴随关系与模糊逻辑合取和蕴涵算子之间的伴随关系的等价性。

Then, theoretically, mathematical morphology is stretched from complete lattices to complete semi-lattices and the adjunction of complete semi-lattices is studied. Some qualities of mathematical morphology on complete semi-lattices are discussed and supported. Two examples of difference semi-lattice and reference semi-lattices are also supplied.

然后在理论上，把数学形态学从完备格延伸到完备半格，研究了完备半格上的伴随，讨论并证明了完备半格上数学形态学的一些性质，列出了差分半格和参考半格两个例子。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。