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stability theory     
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  稳定性理论
     In this paper,It was discussed that the solution of MKdV′s Scattering equation Y′=RY R=-iζq(x) q(x)iζ Y=(y 1 y 2) T and establish the stability theory of the Floquet solution.
     本文通过对MKdV散射方程Y′=RYR=-iζq(x)q(x)iζY=(y1y2)T的解的讨论,建立了其Floquet解的稳定性理论
短句来源
     Kurtz and the Liapunov stability theory of multi-dimensional systems, we discuss the weak convergence of the nonlinear multi-dimensional jump processes ,n~(1/2)(x_N-x) to one diffusion process, where x_N is reaction-diffusion process, N the reaction volume, and x the stable state of the correspondent deterministic system.
     Kurtz的弱收敛定理及多维动力系统的 Liapunov稳定性理论,讨论了一类非线性多维跳过程N~(1/2)(x_N-x)到一扩散过程的弱收敛,这里x_N为一多维反应扩散过程,N为其反应体积,x为其相应的决定系统的稳定态。
短句来源
     Based on the conditions of uncertainties, two design methods for the robust adaptive disturbance attenuation controller are proposed by employing Lyapunov stability theory when the system is exponentially passive (ω≡0, Δg≡0, u≡0) and satisfies certain conditions respectively, such that the closed-loop system satisfies H_∞ robust disturbance attenuation performance.
     分别在系统是指数无源(当ω≡0,Δg≡0,u≡0时)和满足一定条件下,根据系统不确定性所满足的条件,提出了两种基于Lyapunov稳定性理论的非线性鲁棒控制器的设计方法,所获得的控制器使闭环系统满足H∞鲁棒扰动衰减性能准则。
短句来源
     Stability Theory of Antisymmetric Discrete Hopfield Networks
     反对称离散Hopfield网络的稳定性理论
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     Based on the Lyapunov stability theory, an active controller and the parameters update rule are designed.
     基于Lyapunov稳定性理论,设计了主动控制器和参数更新规则,理论证明了该控制器可使得两个异构的驱动.响应系统——R(?)
短句来源
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  稳定理论
     Based on elasitic stability theory and elastic plastic stability theory,this paper analyses the whole stability of plate girders with below supports in detail,and illustrates suitability of the fomulas and datas given by appendices 8 in “Norm for the design of Railway Bridge and Culvert”(TBJ2 85).
     用弹性稳定理论及弹塑性稳定理论 ,对下承式钢板梁的整体稳定问题进行了详细分析 ,由此说明了《铁路桥涵设计规范》( TBJ2 - 85 )附录 8中给出的公式及数据的适用性
短句来源
     Development of stability theory of arch structure
     拱结构稳定理论的发展
短句来源
     The exponentially stable of the controller and the tracking error being freely adjusted are proven using Lyapunov stability theory.
     运用Lyapunov稳定理论证明这种控制器具有指数稳定的特点,且跟踪误差可以自由调整。
短句来源
     In this thesis, the nonlinear control principle based on Lyapunov stability theory is studied, and the nonlinear excitation control law of dual—excited synchronous generators is obtained by using the principle.
     研究了基于Lyapunov稳定理论的非线性控制原理,并应用该原理研究了双轴励磁同步发电机非线性励磁控制方式。
短句来源
     NONLINEAR STABILITY THEORY OF FLOATING BODIES ON VISCOUS LIQUID
     粘性液体中浮体的非线性稳定理论
短句来源
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  运动稳定性
     STRUCTURAL DYNAMIC ANALYSIS BY MOTION STABILITY THEORY
     运动稳定性理论在结构动力分析中的应用
短句来源
     According to Lyapunov stability basic theory, Floquet theory and the numerical method for the stability theory of the periodic coefficients, the effects of the disc position, the disc thickness, the static load factor and asymmetric viscous and elastic supported on the principal regions of dynamic instability of the system are analyzed.
     根据Lyapunov运动稳定性的基本理论、Floquet理论及周期系数稳定性理论的数值方法,详细研究了弹性盘的位置、弹性盘的厚度以及静力载荷因子等各种因素对转子系统主要动力不稳定区的影响; 在考虑粘性和弹性支承的不对称性情况下,详细研究了粘弹性支承、支承的不平衡性等各种因素对粘弹性支承弹性盘轴转子系统主要动力不稳定区的影响。
短句来源
     Based on KB stability theory, the stability of analytical solution of piecewise-linear vehicle suspension system of 1/4 body work was analyzed.
     运用稳定性理论,针对由1/4车体建立的分段线性汽车悬架系统的运动微分方程,分析了其周期解的运动稳定性,得到了共振响应的稳定区域。
短句来源
     In 1892, the Russian Mathematician Liapunov introduced the definition of motion and its general method in his paper "The general problems in the stability of motion", which founded the basis for the stability theory.
     1892年,俄国数学力学家李雅普诺夫(Liapunov)在其“运动稳定性的一般问题”一文中给出运动的严格定义和一般方法,从而奠定了稳定性理论的基础。
短句来源
     (3) The methods of detecting sub-critical propagation of cracks in concrete dams are explored by use of grey system theory, motion stability theory and catastrophe theory, and three criteria for sub-critical crack propagation are given.
     (3)采用灰色系统理论、运动稳定性理论和突变理论,研究了混凝土坝裂缝亚临界扩展识别方法,给出了三个裂缝亚临界扩展判据。
短句来源
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  稳定性原理
     Application of Parameter Adjustors Based on Stability Theory to Pneumatic Manipulators
     基于稳定性原理的参数调节器在气动机械手中的应用
短句来源
     The Liapunof stability theory is used to design the controller in the system of "boattankpump", and the system is simulated and analyzed.
     本文运用了李亚普诺夫稳定性原理设计"船舶 水舱 泵"系统的控制器,并对系统进行了仿真分析.
短句来源
     This paper expounds the key theory and technique about developing coal drift bolt supporting, which mainly contained: the theory of consolidating rock strength with bolt supporting, the high strength bolt supporting system, bolting dynamic system design procedures, coal roadway bolting under the difficulty and complex conditions, big/small structures stability theory of roadway surrounding rock driven along goaf in fully mechanized top coal caving face, etc.
     论文阐述了发展煤巷锚杆支护的关键理论和技术 ,主要有 :锚杆支护巷道围岩强度强化理论、高(超高 )强度锚杆支护系统、锚杆支护动态系统设计方法、困难复杂条件下的煤巷锚杆支护、综放沿空掘巷围岩大、小结构的稳定性原理等。
短句来源
     In this paper, an adaptive feedback control technology based on internal model control theory is presented. Its structure is equivalent to that of the feedforward control in ideal case, and the controller weights are adjusted based on the Lyapunov stability theory.
     本文采用一种自适应反馈控制方法进行主动隔振,该方法基于内模控制原理,利用误差信号恢复出振动干扰,因此不需要通过直接测量得到与振动干扰相关的信号,且在理想情况下其结构等价于自适应前馈控制:控制器的权值基于Lyapunov稳定性原理进行调整,避免了控制器参数与信号统计特性相关的缺点;
     The Backstepping design idea and Lyapunov stability theory is used for design the path tracking controller of the robot. The controller’s validity is tested by simulation and experiments.
     利用Backstepping设计思想和Lyapunov稳定性原理设计控制器来实现路径跟踪,并且通过仿真和实验来验证方法的有效性。
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  stability theory
The stability analytical types are also introduced and the first elastic stability theory is used.
      
A brief historical background of the development of the absolute stability theory was presented, and some of its methods and approaches, as well as the results obtained using them, were discussed.
      
The paper is based on the Lyapunov stability theory [1] modernized for hereditary and stochastic systems.
      
A theoretical study is undertaken of boundary-layer laminarization on a wing profile by means of distributed suction on the basis of the Prandtl equations and general considerations of hydrodynamic stability theory.
      
It has been proposed that this flow is formed as the result of nonlinear interaction of two-dimensional and three-dimensional disturbances predicted by linear hydrodynamic stability theory.
      
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In this paper we consider systematically, with the help of the V-function method, which broad applied in stability theory of movement, the existence and the stability of periodic solutions for system of non-linear (non-autono-mos) differential equations, and its local and non-local problems. Results,which obtained in this paper, may be consided as extension and development of works[4--10].

本文借助于在运动稳定性理论中广泛采用的V函数方法,较系统地讨论了关于非线性(非驻定)微分方程组的周期解之存在性和稳定性以及其局部的和非局部的问题。文中所得的结果是工作的推广和发展。

In recent years, the contour of piston skirt of medium and high internal combustion engines tends, on its transverse section, to be elliptical, the ellipses changingalong the skirt length, and on its longitudinal section to be barrel-shaped. So thecontour of piston skirt is a complex space curve. The author had not seen any publications about the convincing basic theories, workable design methods and manufacturing processes of the above contour.So the author, basing on elastic stability theory, heat transfer...

In recent years, the contour of piston skirt of medium and high internal combustion engines tends, on its transverse section, to be elliptical, the ellipses changingalong the skirt length, and on its longitudinal section to be barrel-shaped. So thecontour of piston skirt is a complex space curve. The author had not seen any publications about the convincing basic theories, workable design methods and manufacturing processes of the above contour.So the author, basing on elastic stability theory, heat transfer and fluid dynamic lubrication theories explored the basic theories and design methods. Detailed analysis of the design methods and how these contours change were given. Finally, aset of formulas describing this contour was also given.

近年来,国外中小型内燃机的活塞裙部外形型面,多趋向在横截面上呈椭圆、且沿裙高椭圆形还是变化的;而在纵向上呈鼓形的复杂空间曲面。但对这种曲面的具体变化规律、设计这类曲面的理论根据以及这类曲面的确切可靠、经济合理的成形加工工艺等技术关键问题,却一直未见透露。本文从弹性稳定理论、传热学和流体动力润滑理论的一些原则结论出发,探讨了设计这类曲面的理论根据,详细分析了这类曲面的具体变化规律和设计方法,提出了描述这类曲面的圆柱参数方程式组。

We have estabilished a mathematical model of the high-speed trucks and the system of differential equations of hunting movments,and analysed theoretically the hunting movements of the high-speed trucks in the light of stability theory of ordinary differential equations. In the computation,We have used a new qualitaitve criterium.Finally, sufficient condition,avoiding hunting mnvements,has been obtained. It is hoped that our results would be useful for the engineers to design the high—speed trucks.

建立高速转向架的数学模型和运动微分方程,用常微分方程稳定性理论对高速转向架蛇行运动进行理论分析,在计算上采用定性判别的新方法,得到防止蛇行运动的充分条件及转向架设计参数,为转向架设计提供理论依据和参考。

 
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