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非光滑动力学系统
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     In view of the characteristics of non-smooth dynamical systems,the pullback integral method is introduced into the impact process based on the cell-mapping method. The method for calculating the attractors and domains of attraction of non-smooth dynamical systems is investigated.
     针对非光滑动力学系统特点,在胞映射思想基础上,引入拉回积分等分析手段,得到了非光滑系统吸引子和吸引域的胞映射计算方法.
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  相似匹配句对
     (5) nonsmooth analysis;
     (5)光滑分析法;
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     Duality for Nonsmooth Lipschitz Programming
     光滑Lipschitz规划的对偶性
短句来源
     PERFORMANCE OPTIMIZATION OF DISCRETE EVENT DYNAMIC SYSTEMS VIA NONSMOOTH OPTIMIZATION
     离散事件动态系统性能优化的光滑分析方法
短句来源
     Discrete Models on stochastic non-smooth mechanical Systems
     随机光滑力学系统离散模型的建立
     Matrosov Stability Theorems for a Class of Nonautonomous and Nonsmooth Switched System
     自治光滑系统的Matrosov稳定性定理
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  non smooth dynamical system
As explained in Section 1, a non smooth dynamical system is a set of dynamical systems that interact altogether in a non smooth way.
      


The stability criteria are investigated based on the motion characteristics and dynamic equations of the large deployable structures in space station (LDSSS).These problems can be divided into five aspects:approach for systems with coupling attitude,deployment and vibration motion,decompose and assemble method for complex large systems,stability of time delag system and hysteretic system,stick slip stability,general stability solution for nonlinear nonstationary system.In these analyses,contact friction and...

The stability criteria are investigated based on the motion characteristics and dynamic equations of the large deployable structures in space station (LDSSS).These problems can be divided into five aspects:approach for systems with coupling attitude,deployment and vibration motion,decompose and assemble method for complex large systems,stability of time delag system and hysteretic system,stick slip stability,general stability solution for nonlinear nonstationary system.In these analyses,contact friction and impact problems,variable topologies,non smooth dynamical systems have been studied; especially,the Lyapunov exponent method in these systems has been discussed.Finally,the bifurcation and chaos,which are interrelated to the motion stability,also have been discussed.On the whole,this article gives an overview of the stability analysis of LDSSS,and points out the bottleneck problems in dealing with the complex large systems.This analysis can be used as theoretical support for the design and research of LDSSS.

从空间站大型伸展机构的运动特点和系统动力学方程出发 ,着重分析了该系统的稳定性判据。这一问题又可分为五个方面 :姿态 -伸展 -振动耦合系统的分析方法 ,复杂大系统的分解集结方法 ,时滞系统和滞后系统的稳定性问题 ,Stick- slip运动对系统稳定性的影响 ,非线性非定常系统稳定性的一般解。其中还对接触、摩擦、碰撞问题 ,变拓扑系统 ,非光滑动力学系统等进行了专门的研究 ,分析了 L yapunov指数方法在这些特殊系统中的适用性。本文对空间站大型伸展机构的稳定性问题进行了较全面的分析 ,指出了目前在处理这类复杂大系统时存在的一些难点问题 ,为其设计和研制工作提供了理论基础

In view of the characteristics of non-smooth dynamical systems,the pullback integral method is introduced into the impact process based on the cell-mapping method.The method for calculating the attractors and domains of attraction of non-smooth dynamical systems is investigated.Through the analysis of a nonlinear dynamical system with rigid constraints,coexistent attractors and domains of attraction with complicated fractal boundary are obtained.Compared with the phase portraits,the present results are validated...

In view of the characteristics of non-smooth dynamical systems,the pullback integral method is introduced into the impact process based on the cell-mapping method.The method for calculating the attractors and domains of attraction of non-smooth dynamical systems is investigated.Through the analysis of a nonlinear dynamical system with rigid constraints,coexistent attractors and domains of attraction with complicated fractal boundary are obtained.Compared with the phase portraits,the present results are validated to be reasonable.

针对非光滑动力学系统特点,在胞映射思想基础上,引入拉回积分等分析手段,得到了非光滑系统吸引子和吸引域的胞映射计算方法.并以一类碰振系统为例,给出了其吸引子和具有复杂分形边界的吸引域,并验证了该方法的有效性.

 
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