稀疏矩阵指数必须是正整数。
提出了快速矩阵指数法，并将它应用于大型结构的振动分析。
Fast Matrix Exponent Method was introduced and developed for large structure vibration analysis.
所设计的计算矩阵指数的子程序保证了系统仿真精度不受计算步长的限制，从而大大提高了计算效率。
The procedure for calculating the exponential matrix guarantees that the simulation accuracy is not restricted by the calculating step length, then the calculating efficiency has been raised greatly.
在机械手实例中，分别采用复指数变换法和坐标矩阵变换法进行求解。
Both complex exponential form transformation and the coordinate matrix transformation are applied to the example of manipulator.
布尔矩阵的指数理论已经得到了广泛的研究。
There is an extensive literature on the index theory of Boolean matrices.
数值算例说明指数稳定的半负定矩阵条件和控制器设计方法是可行的。
Numerical examples show that the negative semi-definite matrix condition of exponential stability and the controller design method are feasible.
运用土地转移矩阵、重心转移、扩展速度、景观指数计算等方法。
Other methods were used as land transfer matrix, expansion rate and landscape index.
利用对数意义下的相容性指标提出了一种基于指数标度下判断矩阵的一致性调整方法，并通过算例表明该法是切实可行的。
A method is proposed for improving the consistency of inconsistent judgment matrix based on exponential scale, by the value of compatibility index of logarithm.
采用布尔矩阵，得到了线有向幂敛指数的一些结果。
By using Boolean matrix, some results of power convergence exponent of line digraph are given.
对静力问题，将指数矩阵函数展成级数来求解；对动力问题，采用状态空间迭代法来求解。
The exponential matrix function exhibition series was applied to solve the static problem; adopt the state space iterative method was applied to solve dynamic problem.
采用有向图的矩阵表示，得到了线有向图的幂敛指数和周期的有关结果。
By using the matrix representation of a digraph, some results about the index of convergence and period of a line digraph are obtained.
利用李雅普诺夫函数方法和线性矩阵不等式方法，给出了广义网络控制系统指数稳定的充分条件。
Then, by Lyapunov function and linear matrix inequality(LMI), the sufficient conditions are given to make the singular networked control system exponentially stable.
在每个子系统能观的前提下，建立误差系统，对于任意给定的切换信号，设计观测器矩阵使误差系统指数稳定。
By constructing error systems, for any given switching law, observer matrices can be designed to make the error systems exponentially stable.
本文基于线性矩阵不等式（LMI）和时延相关控制方法，设计一个控制器以实现指数稳定的跟踪控制。
Based on LMI and delay time-derivative dependent control methods, a robust controller is designed to achieve exponential tracking stability.
利用鱼刺图分析了小型尾矿库存在的风险，并结合某地区随机抽取的20个小型尾矿坝的相关数据，通过风险评价指数矩阵法分析了此地区小型尾矿坝的风险，确定了该地区小型尾矿库的风险等级。
Combined the data of 20 mini tailings dams that take out randomly in one area, the hazard of mini tailings dams is analyzed in the way of the analysis of the matrix of risk assessment code.
将结构矩阵应用于链烷烃色谱保留指数的预测。
The structure matrix was applied to forecast chromatograph retention index of alkane.
讨论了一类小指数对称本原矩阵的刻画问题，为对称本原矩阵的完全刻画奠定基础。
A family of symmetric primitive matrix with small exponent is characterized, consequently a foundation is laid for the complete characterization of symmetric primitive matrix problem.
随着IP网络规模指数式增长而带来的对网络管理和维护的迫切需求，流量矩阵估计已成为当前的热点研究问题。
With the exponential increase in the size of the IP network and the urgent demands in network management and maintenance, traffic matrix estimation has currently become an interesting topic.
新的键指数X考虑了分子的图形特征，顶点原子的性质，顶点原子与相邻原子的键合情况，并以矩阵的形式把这些特征表达出来。
A novel link index X proposed deals with the feature of molecule graph, the property of vertical atom and the bonding of atoms connected to each other. Matrices are used to represent these characters.
利用M矩阵理论，通过构造适当的向量李雅普诺夫函数，研究一类具有时变时间滞后的线性关联大系统的全局指数稳定性。
The global exponential stability of a class of linear interconnected large scale systems with time delays was analyzed based on M matrix theory and by constructing a vector Lyapunov function.
EVM为醇中烷基的键连接矩阵特征根之和，PEI为烷基的极化效应指数。
Where EVM is the sum of eigenvalue of bonding orbital-connection matrix of the alkyl group and PEI is the polarizibility of alkyl.
提升计算包括矩阵的指数和积分运算，一般是很复杂的。
The lifting computation is rather complicated and involves the computation of the matrix exponential function and matrix integration.
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。
The global exponential stability of a class of linear interconnected large scale systems with time delays was analyzed based on M matrix theory and by constructing a vector Lyapunov function.
基于分子的键距矩阵和键联矩阵提出一种新的分子拓扑指数Y。
A novel topological index called Y-index was developed based simultaneously on the bond distance and bond adjacent matrices for a molecular.
对含正对角元的对称本原矩阵的本原指数集的分布进行具体的研究，得到几类本原矩阵的分布规律。
In this paper we study some classes of symmetric primitive matrix with trace nonzero, and obtain their characterization.
对含正对角元的对称本原矩阵的本原指数集的分布进行具体的研究，得到几类本原矩阵的分布规律。
In this paper we study some classes of symmetric primitive matrix with trace nonzero, and obtain their characterization.
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