查询词典 continuous dynamical system

A class of uncertainty T-S dynamical fuzzy systems is given using the Lyapunov function method.The non-fragile controller design of continuous uncertain dynamical fuzzy system is given.

首先给出不确定T-S动态模糊系统的模型；然后利用Lyapunov函数方法，研究连续不确定动态模糊系统的非脆弱控制器设计，得到基于LMI的不确定动态模糊系统的全局渐近稳定性条件。

Jiu Ding,Aihui Zhou,Statistical Properties of Deterministic Systems Statistical Properties of Deterministic Systems discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation.

摘要本书介绍的是确定性离散动力系统统计性质的基本理论与计算方法，首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius—Perron算子的泛函分析与数值分析；最后本书介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

When parameters satisfy some assumptions, Rossler system is a chaotic dynamical system. In order to discuss the dynamical character of Rossler system and use delayed feedback control chaos, in the first, we discuss the stability of the steady states of Rossler system with delayed feedback. When the engenvalues of the linear part are pure imaginary numbers, we obtain the corresponding delay value. The stability of the steady state is lost when the delay passes through the critical value, and simultaneity chaos may vanish, as well as there will be a family periodic solutions bifurcate from the steady states.

在几个参数满足一定的假设条件下，Rossler系统是一个具有混沌特性的动力系统，为了研究该系统的动力学性质并利用时滞实现混沌控制，本文首先对具有时滞的Rossler系统的平衡点进行稳定性分析，当系统的线性部分对应的特征值为纯虚根时，算出相应的时滞τ，得到了平衡点的稳定性会在时滞τ取某些值时发生翻转，同时系统的混沌特性也会出现变化，并且在平衡点处系统经历Hopf分支。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

In recent years, the researches in mathematical biology which modeled by normal differential equations are mainly concentrated on two branches: 1 continuous biological dynamical systems; 2 impulsive semi-dynamical systems.

生物数学中以生物动力系统为基础的研究近年来得到了长足的发展，其中以微分方程为模型的研究工作主要集中在连续动力系统和脉冲动力系统上。

In this thesis, some theories and approaches related to continuous dynamics, discrete dynamics, impulsive dynamics, operator theory and numerical simulations are used to investigate dynamical behaviors including the existence and globally asymptotic stability of periodic solutions, permanence, extinction, and all kinds of complexities, and meanwhile the possible effects of delay and impulse on the dynamical behaviors are discussed.

我们的这些结果显示出这三个时滞周期系统正周期解存在且全局渐近稳定的充分条件在形式上几乎能够很好的与相应的无时滞自治系统正平衡态存在且全局渐近稳定的充分条件相对(来源：A5babBC论文网www.abclunwen.com)应，这些结果也显示了时滞对系统正周期解的存在性和全局渐近稳定性是有影响的，它们推广并改进了一些已有的相关结果。

The time evolution of expectation values of the basic dynamic variables in a quantum system under different effective Planck constant were compared with the exact values of the basic dynamic variables in classical system. It is found, for the regular motion, the difference comes from the quantum effect; for the chaotic motion, it comes from the dynamical effect and the destruction of the dynamical system.

通过引入等效普朗克常数，将量子系统中基本动力学变量的期望值和经典系统中基本动力学变量的精确值的时间演化行为相比较，分析了两者产生差异的因素，规则运动主要是和量子效应有关，而混沌运动则是和动力学效应有关，即与系统的动力学对称性破坏相联系。

The characteristic exponent based on a probabilistic dynamical system is calculated, which provides some useful information on unstable periodic orbits of the chaotic economic dynamical system. An effective controlling parameter is chosen by discussing the sign of the characteristic exponent. Furthermore, the control regions of the parameter variable are proposed. Therefore the controllable domain of chaos in the chaotic economic model can be obtained.

提出一种等价关系，计算基于概率的动力系统的特征指数，给出混沌经济动力系统的不稳定周期轨道的有用信息，通过讨论特征指数的符号，选择有效的控制参数，得到相应的控制参数取值范围，从而得到混沌经济模型中的参数变量的混沌控制域。

In the second part, we have considered the polariton system described by the model effective Hamiltonian involving single mode photon field interacting with a transverse optical phonon in a more realistic form. On this basis, we have discussed the dynamical evolution of the wave function , the dynamical variables and the non-classical properties for the system in a analytic form for the first time.

第二部分将极化激元系统约化成模型单模光子—横向声子有效相互作用系统，在此基础上以解析形式首次讨论了系统的波函数、力学量和压缩态、亚泊松分布等非经典效应的动力学演化行为。

The basal geomorphology structure of the Tidal-Basin System of the Tiaozini Sandbanks is watershed and tidal creek system. We analyses its formation, evolvement, geomorphology characters and development and discusses the main influence factors which is water, sediment and space. We divide the evolution phases which is formation phase, autumn phase and contabescence phase. In the end we confirms its main functions, which is discharging the folium water on the tidal flat of the Tidal-Basin in the end of the ebb-tide, transporting sediment to Tidal-Basin through tidal creek systems, confining the swing range of the dynamical axis of flood tide or ebb tide, balancing the dynamical status of the South and North. At the same time, we compare coastal tidal-basin and sandbanks tidal-basin on geomorphology characters, formation causes, style and so on.

条子泥潮盆—潮沟系统的基本地貌结构为分水滩脊和潮沟系统，本文分别对它们的形成与发育、地貌特点及动态变化进行了分析，并探讨了影响其发育的主要因素，即来水条件、来沙条件、空间条件，划定了其主要发育阶段，即形成期、成熟期、衰亡期；在上述分析的基础上确定了潮盆—潮沟系统的主要功能，即通过潮沟系统渲泄落潮后期滞留在其潮盆范围内的滩面薄层水、通过潮沟系向潮盆内部输入或输出泥沙、限制涨落潮动力主轴摆动范围、平衡南北两侧动力状态；同时针对岸滩潮盆—潮沟系统与沙洲潮盆—潮沟系统的地貌特征、成因类型等进行了对比分析。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。