正则系统

In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中，我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题，给出了状态能控时的约束相容性条件，给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式，证明了最优控制属于控制集合的边界。

When found, it was usually something in the system that was doing something clever and assumptive that the developer didn't expect it to be clever and assumptive about.

当找到时，它通常正被系统智能处理而开发人员则并不希望系统智能处理它。

However under certain reasonable probabilistic assumptions regarding single member failure, system loading and member load sharing, it can be shown that the system failure time is asymptotically normally distributed as the number of members grows large.

可是，在一定的合理随机假设下，考察单个构件破坏、系统的载荷及构件的受载情况，可以表明：当构件数目增加很大时，系统的破坏时间是渐近正则分布的。

The statistical theory and the grand canonical ensemble are used, in it the matter and energy can be exchanged. The paper is divided into four parts.

我们所用的理论模型是统计模型，系统有物质和能量的交换，采用的是统计理论下的巨正则系综。

It is shown that there indeed exists stable thermal equilibrium for the system in the canonical ensemble in which the temperature and surface area are fixed at a finite boundary.

结果表明：对于在有限边界处温度和表面面积固定的正则系综，系统的确存在稳定的热平衡。

Thermodynamic properties and mechanism of phase transitions inthe two-dimensional Lennard-Jones Systems are studied by Monte Carlo method. Canonical ensemble Monte Carlo simulations are performed for a wide range of thermodynamic equilibrium states.

为深入研究微小尺度系统的热力学性质和相转变机制，以粒子间通过Lennard-Jones势能作用的2维系统为模型，通过正则系综MonteCarlo模拟细致地考察了气/液相转变区的平衡态参数。

In this dissertation, we discuss some problems related to infinite dimensional dynamical systems, and sketch the outline of the development of infinite dimensional dynamical systems in recent years.

中文摘要：这篇文章中，我们讨论了无穷维动力系统中和吸引子相关的一些问题，介绍了无穷维动力系统近几十年来的发展现状，而且具体考查了部分耗散反应扩散方程的解的长时间行为，在该方程的紧吸引子的存在性基础上，得到了该吸引子的正则性的一些结果。

Form these relations and the norm form for affine nonlinear systems, it gained the weak regular norm form for general nonlinear systems, which can simplify some problems such as output track.

通过这些联系，并利用仿射非线性系统的已有结果得到了一般非线性系统的弱正则标准形，从而简化对输出跟踪等一些问题的处理。

The approximate Hamilton system with parametric variable was introduced, and the canonical transformation was performed based on this approximate Hamilton system.

引入含参变量的近似Hamilton系统，并以近似Hamilton系统为基础进行辛矩阵乘法的正则变换。

Based on the phase-space generating functional for a system with a singular higher-order Lagrangian,the quantal canonical Noether identities under the local and non-local transformation in phase space for such system have been derived.

基于高阶微商奇异拉氏量系统的相空间生成泛函，导出了定域和非定域变换下的量子正则Noether恒等式；对高阶微商规范不变系统，导出了位形空间中定域和非定域变换下的量子Noether恒等式。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。