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Based on the formula derived from the concept of phase margin, a new optimization tuning method of PID parameters was proposed. It found out the best value of K and T、T by using twice linear search, respectively. The formula derived in this paper are consistent with those in CHEN's paper where they are derived based on geometric graph, while the former are easy to comprehend.

提出了一种PID参数最优整定方法,两次采用线搜索分别整定出K和T、T根据相位裕度的概念推导出的参数整定公式与基於几何图形推导出的参数整定公式一致,但更容易理解。

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

本论文描述了量子色动力学整体色对称模型哈密顿量方法的构建过程,得到了反映正反夸克对凝聚真空结构的关于组分夸克的有效哈密顿量算符,它隐含了胶子作用,并且准确至流-流耦合项;接着,通过参数化哈密顿量中的夸克作用关联核,导出平方禁闭势参数化选择的哈密顿量的具体公式和能隙方程;随后,应用公式,编程求解,考察了瞬时作用下和部分延迟作用下真空的正反夸克对凝聚,在计算中保留了空间流-流耦合作用;之后,导出瞬时势和延迟势下包含二体作用项的哈密顿量公式,并采用单体化近似,通过泛函变分方法得到核物质存在时耦合的非线性动力学方程;在保留部分空间双流耦合作用的近似下,求解核物质的动力学方程,考察核物质密度对真空凝聚的影响,以往考察真空凝聚,对关联核的选用,由于空间流-流耦合项不易处理,也认为作用不大,常忽略该项,并且常采用瞬时作用;本文保留空间双流项和部分延迟作用,考察了真空情形的夸克对凝聚,还考察了夸克质量对纯真空凝聚的影响,以往对核物质存在情形的真空凝聚考察很少,也都忽略空间流-流项,本文在考虑部分空间流-流项近似下,考察了核物质存在对真空凝聚的影响。

To resolve the algorithm of the chromatic number of a graph,a special method is adopt to remember the coloring process of graph,and the method does different jobs for four given cases during the coloring process.The adjacent strong edge chromatic number of join graph of star and path is obtained.

为了解决图的邻强边染色问题中一个图的色数算法问题,通过特别的方法来记图的染色过程,同时分4种情况讨论了星和路联图的邻强边染色问题,指出在染色过程中给定的4种情况的染色方法各不相同,并通过对图的着色得到了星和路联图的邻强边色数。

In fact, researching the symmetry property of the Coset graph is more significant than the Cayleygraph, because every vertex-transitive graph is always some Coset graph of its full automorphism group.

关于陪集图对称性的研究其实较Cayley图更具有普遍的意义,因为任何一个点传递图都是其全自同构群的某个陪集图。

Further, we can also define if a Coset graph is a graph representation, we note it GR for short, that is, the relevant group is exactly equal to the full automorphism group of the Coset graph.

甚至,我们也可以定义一个陪集图是一个图表示,简称GR,即相应的群是否恰等于它的这个陪集图的全自同构群。

In fact, researching the symmetry of Sabidussi coset graphs has more general significance than doing so for the Cayley graph because every vertex-transitive graph is always some coset graph of its full automorphism group.

关于陪集图对称性的研究其实较Cayley图更具有普遍的意义,因为任何一个点传递图都是其全自同构群的某个陪集图。

For example, when G is a cubic graph, tree, complete graph, or balanced complete bipartite graph, and some values of k.

譬如当图形G是一个立方图、一个树、一个完全图、或者是一个均衡完全二部图,以及某些特定的k值。

According to the some properties of the differentiation ,I found that the symmetry of the graph is closely related to the first-order differentiation and the second-order differentiation .from this ,I search for a way to identify the symmetry of the functional graph for the direct line or the central symmetry of the functional graph for the some dot .

摘 要:利用导数的一些性质,发现了函数图象的对称性与函数的一阶、二阶导数的密切关系。根据这些关系,找到了一种判定函数图象是否关于某一直线对称或关于某点成中心对称的方法。

Graph theory is one of the unified modelling methods. Based on the traditional linear graph theory, the paper proposed the Extensible Elementary Linear Graph method, which could realize composable simulation for multidiscipline system, and perform inter-energy domain expression in a unified way.

图论方法是多领域统一建模方法之一,本文基于线性图建模方法,研究和发展了一种模块化的多领域建模方法——可扩展单元线性图复合仿真方法,以实现跨能量域的统一模型表达。

Introduced in this paper is the forest graph of a connected graph which is a generalization of the tree graph.

本文中引进了连通图的森林图,它是树图的推广。

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