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By means of generalized Lyapunov function and linear matrix inequality,the asymptotical stability with zero solution is studied for the system,and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint .

针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题,利用广义Lyapunov函数和线性矩阵不等式,首先对系统的零解渐近稳定问题进行了研究,并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件,之后设计了状态反馈H∞控制器,使闭环系统具有同样的性能,最后给出了数值算例说明本文结论的有效性和可行性

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices,and it is illustrated by matrices generalized inverses.

文 [1 ]给出了判断一个置换矩阵是否属于自同构群的充分必要条件,文 [4]在此基础上利用矩阵广义逆理论对自同构群进行研究得出了一些有用的结论。

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,并给出了其解的表达式,描述了求解问题的算法;讨论了带对称和双对称约束的总体最小二乘问题,利用Ricaati矩阵方程的理论得到了解存在的一个充分条件,分别对对称矩阵和双对称矩阵两种情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,给出了其解的表达式,提出了求解这些问题的算法,并给出了数值例子。

The system structure of generalized Lorenz canonical form is reconstructed based on T-S model.

针对广义Lorenz规范式结构,基于T-S模型进行了系统的模糊重构;利用Lyapunov稳定性理论和反馈同步的思想实现了重构系统的同步,并推导了误差系统以衰减率α实现全局渐近稳定的充分条件。

It is the most powerful means of eradicating schistosomiasis. Current method of elimination cercaria is mainly the chemical method which has many disadvantages such as drug resistance, drug dilutedness, environmental pollution and poisoning the other biology, etc. For these reasons, this paper poposed a new method of elimination through high-voltage pulsed electric field, discussed the feasibility of the new method, studied the elimination mechanisms of using different forms of electrodes, analyzed various factors which influences the effect of elimination and introduced the structure of high-voltage pulsed electric field system at the stage of laboratory. Moreover, this paper showed the security problems that should be considered during the research and experiment.

针对常用的化学药物杀灭法存在的易使尾蚴产生抗药性、水域宽广致使药效降低、污染环境、毒杀其它生物等弊端,本文提出了一种利用高压脉冲电场杀灭血吸虫尾蚴的新方法,探讨了这种电子杀灭方法的可行性,分别研究了采用锐形电极和平板电极的血吸虫尾蚴杀灭机理,分析了影响尾蚴杀灭效果的各种因素,介绍了实验阶段血吸虫尾蚴高压脉冲电场杀灭系统的构成,指出了系统研制和试验过程中需要充分考虑的安全性问题。

2By constructing a completely continuous operator in a functional space and employing the cone compression and expansion fixed point theorems, we obtain some sufficient conditions which guarantee the existence of positive periodic solutions for Eq.

通过在一个函数空间构造一个全连续算子,再利用锥压缩锥拉伸不动点定理,得到了一些保证方程(1),(2)至少存在一个周期正解的充分条件,所得结论改进了文[1]和[6]中的结果。

Then we use Lebesguge s dominated convergence theorem to obtain some sufficient conditions for (2) and study the existence of a bounded positive solution.

接着,利用Lebesgue单调收敛定理给出了方程(2)振动的若干充分必要条件并且研究了正有界解的存在性。

In this paper, the completeness of no endpoint dense ordered set is proved by Robinson method. And the sufficient conditions are given to prove the completeness of a theory from Robinson method.

文章利用Robinson判别法证明无端点稠密有序集是完全理论,并由Robinson判别法得到了一个理论是完全理论的充分条件。

The problem of stabilization of a class of discrete time nonlinear systems with time delay is studied.

研究了一类带有延迟的多输入离散时间非线性系统,利用Lyapunov方法建立了闭环系统稳定的充分条件,并给出了使系统全局渐近稳定的状态反馈控制律,从而延伸若干已有结果。

An optimization algorithm is proposed to obtain the estimate of the domain of attraction as large as possible.

利用线性矩阵不等式方法得到了闭环系统渐近稳定以及满足H〓性能的充分条件。

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