离散连续系统

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

Hybrid system is a type of sophisticated system which consists of interactive discrete event dynamic systems and continuous variable dynamic systems.

混合系统是由相互作用的离散事件动态系统和连续变量动态系统构成的复杂系统。

ABSTRACT Hybrid systems contain two distinct types of systems, continuous variable dynamic system and discrete event dynamic system , that interact with each other.

混合系统是由连续变量动态系统和离散事件动态系统相互混合、相互作用而形成的统一的动态系统。

Due to the discreteness of transformer taps and the switching of shunt capacitance/reactance banks, the rigorous reactive power optimization is the problem of Mixed-Integer Nonlinear Programming involving both discrete and continuous variables.

在电力系统无功优化过程中，由于有载调压变压器分接头的存在和补偿电容／电抗器分组投切的离散特性，使得严格意义上的无功优化问题成为一个离散变量和连续变量共存的混合整数非线性规划(Mixed-Integer Nonlinear Programming，MINLP)问题。

The observability of hybrid system involves initial discrete states, continuous states and discrete state switched time.

混合系统的可观性包括初始的离散状态和连续状态，以及离散状态的切换时间。

The generating function method is applied to the study of integrability structure of these finite-dimensional systems, by which it is very convenient to prove the involutivity of integrals of motion.

上面所提到的这些连续的和离散的2+1维可积模型被分解成所导出的常微分方程的Hamiltonian系统或常微分方程的Hamiltonian系统以及辛映射所产生的离散流。

The digital algorithms of integral and discrete wavelet transform are presented for purpose of electric power system protection, based on the analysis of wavelet transform for sampled digital signals under the Shannon sampling theorem.

从电力系统继电保护应用的角度，结合香农采样定理，深入探讨了连续信号和离散信号的小波变换的关系，给出了离散信号的积分小波变换和离散小波变换的数字计算方法。从理论上研究了信号小波变换的误差与尺度函数和小波函数的关系。

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要：针对浮置板式轨道结构特点，取相邻2个扣件之间的轨道为1个轨段单元，钢轨视为连续弹性点支承Euler梁，浮置板视为弹性薄板，扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器，建立浮置板式轨道振动模型；将城轨列车中的车辆均离散为多刚体系统，各刚体之间通过线性弹簧及粘滞阻尼器相连，建立列车振动模型；将浮置板式轨道及列车振动势能叠加，得到系统竖向振动总势能；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程；采用Wilson-θ逐步积分法求解此矩阵方程，得出此系统竖向振动响应。

Mass of methods of the discretization have not think over relativity between before discretization and discretizated.The discretization of attributes are accomplished independence.It can change indiscernibility relation in information system and induce illogicality and redundance dot.

针对大多数的离散化方法没有考虑不同连续属性离散化结果间的互补性和相关性，每个属性的离散化过程都是独立进行的，往往会改变信息系统不可分辩关系，容易产生不合理和冗余的离散化划分点。

By analyzing the flow-style working pattern,the technical mechanism integrated with production step balance, manufacturing resource group construction, dynamic production priority was presented. Manufacturing resource group allocating algorithm was put forward, which can smooth the requirement differences among the procedures. Computational method of the number of work-in-progress between the procedures with different processing time was constructed. The dynamic algorithm of selecting priority of part and machine was built. And a scheduling system was built which was authenticated with realistic case.

通过对流水式连续生产模式的分析，提出了基于节拍协调、成组制造资源以及动态优先级调整等策略的技术思路；提出了面向连续生产节拍均衡的资源组分配算法、适应前后序加工时间差异的压件生产额度计算方法，以及工件和设备选择优先级的动态调整算法；开发了调度软件系统，并通过实例进行了技术验证，形成了一种新型的离散制造环境下的流水式连续生产模式。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。