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Based on a formal analysis of lifting decomposition, the hierarchical structure concept of the decomposition set, as well as the lifting decomposition technique of the polyphase matrix' greatest mth-order common divisor, is proposed to conquer the difficulties in the practical computation of and the optimal search in the huge decomposition set.

本文在形式化分析Lifting分解原理的基础上,提出了分解集合的分级结构概念以及多相矩阵的m阶最大公因子Lifling分解技术,克服了分解集合求解问题的高复杂性所带来的实际计算与搜索困难;进一步地,从数值稳定性及计算代价两方面研究了分解的评价问题,设计出两种实用的分解稳定性准则;最后,结合分级结构技术提出一种最优分解算法。

There is a small action range in archery.Simple methods and analysis is inadequate,so the author,on the basis of testing the archery athletes in national team with the Qualisisy infrared photoelectric testing system,Footscan sole pressure testing system,Noraxon myoelectricity remote testing system, etc,analyzes comprehensively the action technique of the athletes in national team from the posture,body motion characteristics,body posture equilibrium and stability,distribution of centre sole pressure, myoelectricity characteristics,etc,with the methods of relative software and data statistics.The conclusions and the suggestions are as follows:Conclusion:Firstly,the communality of posture angle,muscle strength,the activation order of main muscle during raising the bow, raising the bow and the timing of the raising could be used as the evaluation index of technique action in archery;Secondly,the length of the time needed in the different periods couldn\'t be used as technique evaluation index since it has no relation with the result.But the time of raising and pulling back the row is relatively fixed,and the time has a positive relation with the archery achievement of the national team in China.Thirdly,the central index of the sole pressure could be used as the reference criterion of selecting athletes and forecasting achievement.During playing archery,the interrelation between the central index of the sole pressure and the achievement is different individually and in different periods.Fourthly,there is low stability of the archery athletes in the front and back direction during the action, caused by the athletes\' posture disequilibrium of dorsal abdominal muscle and non-professional sport shoes..Fifthly,kinematics and electromyography shows that the people on archery in China haven\'t taken the raising and pulling back the row seriously.

射箭的肢体动作幅度小,简单的手段和分析不能满足其需要,笔者结合各种运动生物力学仪器优点及射箭项目的特性,选用Qualisisy红外光点测试系统、Footscan足底压力测试系统、Noraxon肌电遥测系统等对国家队射箭队运动员进行多方位的测试,运用相关软件及数理统计方法,对运动员的射箭动作技术,从射箭动作的姿态构架、肢体运动特点,身体姿态平衡稳定性、足底压力中心分布、肌电特性等进行全面分析,结论及建议如下:结论:第一,姿态角、肌肉用力激活程度、举弓阶段主要用力肌肉激活顺序、举弓、开弓时间等的一致性可作为射箭技术动作评价指标;第二,各动作阶段所用时间的长短不能作为技术评价指标,但举、开弓的时间相对较固定,开举弓时间比与中国国家队射箭成绩正弱相关达到显著性;第三,闭眼状态下足底压力中心单位面积轨迹长与144支箭最好成绩正相关达到显著性,可作为身体素质、选材及成绩预测的参考依据;实射时身体平衡的足底压力中心指标与成绩的相关程度具有个体性差异、阶段性差异;第四,射箭运动员实射时身体在前后方向上的稳定性较差,这与运动员的站立姿态、腹背肌力量的不匹配以及射箭没有专业运动鞋有关;第五,运动学及肌电学都表明中国射箭训练对举弓、开弓阶段的重视不够,背部肌肉用力特征不明显,撒放技术合理性不高。

A posterior computable condition for the stability of the adaptive scheme is also provided in this paper.

基 于本文建立的l1优化设计的连续性,证明了自适应鲁棒控制的全局稳定性,给出了自适应控制系统稳定性的后验可计算条件。

For the computational stability of linear evolution equation, the condition of CLF for judging the computational stability of initial value problem is introduced.

针对线性发展方程的计算稳定性问题,介绍了判定线性发展方程初值问题的稳定性判别条件:CLF条件。

By using the theories and methods of impulsive,discrete and continuous dynamical system,arithmetic operators,optimiza-tion and numerical simulation,we study locally and globally asymptotieal stability of the boundary periodic solutions,and the permanence of the these systems.

以脉冲动力系统理论为基础,同时结合离散动力系统、连续动力系统、算子理论、优化理论等相关的理论和方法,在已有的研究成果的基础上,研究这些模型的边界周期解的局部和全局渐进稳定性、系统的持续生存、周期解的存在性与唯一性以及周期解的轨道稳定性等等。

In addition, we established the methods of producing foam and the estimation of stability of foam after we did the contradistinctive experiments.

本文通过理论和实验分析,筛选合适的表面活性剂及助剂,通过起泡方法和泡沫稳定性评价方法的对比实验,确定起泡方法和泡沫稳定性评价方法。

Surfactants and additives were selected after analysis of theories and experiments. In addition, we established the methods of producing foam and the estimation of stability of foam after we did the contradistinctive experiments.

本文通过理论和实验分析,筛选合适的表面活性剂及助剂,通过起泡方法和泡沫稳定性评价方法的对比实验,确定起泡方法和泡沫稳定性评价方法。

Then analyzed has compared the contravariant controller control strategy, in established in the SPWM inversion linearization model foundation to analyze the necessity which double-circle controlled, and in controlled in the link to introduce the PID adjustment, enhanced the control the dynamic response ability and the system stability, enhanced the power source the load compatibility and the output stability.

接着分析比较了逆变控制器的控制策略,在建立了SPWM逆变器的线性化模型基础上分析了双环控制的必要性,并在控制环节中引入PID调节,来提高控制的动态响应能力和系统的稳定性,以提高逆变电源的负载适应性和输出的稳定性

In order to get the numerical solution, the paper devises a three hierarchic implicit scheme which eliminates the strict restriction of explicit scheme, thus, it can be used in more areas. By using the energy estimation method, the convergence and stability of the difference scheme are proved and the scheme is second order convergence for time and space.

对求解方程构造了一个三层隐式差分格式,消除了显格式的稳定性对计算步长的严格限制,使之适用范围更广,并用能量估计的方法严格证明了差分格式的收敛性与稳定性,该格式对于时间和空间均具有二阶收敛性。

This paper considers a absolute stability problem for a class of uncertain systems that the linear part is the convex combination of finite vertex models ,and the nonlinear part is a nonlinear sector.

本文考虑一类不确定系统的绝对稳定性问题,系统的线性部分乃顶点模型的凸组合,非线性部分是一个非线性扇区如通常绝对稳定性问题中那样。

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