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In this papper, the methods of decomposition of large-scale system and Liapunov function are used in studying the existence of stationary oscillation of periodic interval system and some new results are obtained.

应用大系统的分解和Liapunov函数的方法研究了周期区间系统的平稳振荡的存在性问题,得到了一些新的结果。

In order to study the stability of longitudinal following control system of vehicle in automated highway system,the following errors of vehicles were analyzed,a mathematic model of infinite-dimensional nonlinear interconnected large-scale system with delays was constructed,and the stability of the system was studied by applying vector Liapunov function .

为了提高自动化高速公路车辆纵向跟随控制系统的稳定性,建立了关于车辆跟随误差的具有时间滞后的无限维非线性关联大系统模型,应用向量李雅普诺夫函数对大系统的稳定性进行了分析。

Furthermore, when the system is a periodic system, sufficient conditions are obtained that guarantee the existence, uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Liapunov function.

利用比较原理给出了系统一致持久性的充分条件;当系统是周期系统时,应用Brouwer不动点原理和构造Liapunov函数的方法给出其存在惟一且全局吸引的ω-周期正解的充分条件,并通过实例验证了文中定理条件的可实现性。

Based on the theory of topology and the properties of M-matrix, by constructing vector Liapunov function and applying differential inequalities, the exponential stability of three classes of interconnected large-scale systems with time delays is analyzed.

本文利用M-矩阵理论,应用微分不等式以及拓扑学等有关知识,通过构建向量李雅普诺夫函数,研究了三类时间滞后大系统的指数稳定性以及智能交通系统中车辆纵向跟随控制问题。

This paper deals with the deflection of the Liberty ship resting on keel blocks during drydocking, which is regarded as a continuous beam of variable section and rigidity resting on an elastic foundation.

本文把安置在干塢中龙骨墩上修理的自由輪的变形,视为彈性基础上的变断面、变剛性連續梁来計算,应用能量法选择主振动形式函数来表示船身撓曲曲线。

This paper derivates deterministic maximum likelihood DOA estimation algorithm cost function,then utilizes alternating projection algorithm for optimization.

推导出确定性最大似然波达方向估计算法的代价函数,然后应用交替投影算法进行优化。

By factoring of the likelihood function, the description of signal detection problem is achieved, and then iterative signal detection algorithm can be deduced by using sum-product algorithm.

通过对似然函数的分解,得到信号检测问题的因素图描述,在此基础上应用和积算法推导出信号检测的迭代算法。

To solve the optimization problems, apply the DCA (difference of convex functions algori-thms) which is a general framework for nonconvex continuous optimization. This leads to a successive linear programming algorithm with finite convergence.

为解决优化问题,应用了突函数差异算法(difference of convex functions algorithms,DCA)这一进行非突连续优化的通用框架,致使连续线性规划算法有限收敛。

The missile linear fractional transformation model was established by the graph approach,and the missile's dynamics was separated into certainty part and uncertainty part.

线性分式变换是继传递函数和状态空间表达式之后一种新的被控对象描述手段,被广泛地应用于鲁棒控制及线性参数时变控制系统的分析与综合中。

By transforming the interlace series type linear differential equation with coefficients containing negative second order power function and arrangement number into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.

通过把系数含有负二次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程,找出了求这类方程通解的方法与理论,所得定理给出了严格的证明,并通过实例介绍了它的应用

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