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Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果，得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式，并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

Using PH linearization ,the nonlinear partial differential equation was transformed into linear partial differential equation,and then,by introducing a complex function,it was further transformed into a set of two linear differential equations.

应用 PH线性化方法，将非线性偏微分方程转化为线性偏微分方程，引入复函数将复常数偏微分方程变为两个线性实常数微分方程组，并采用小参数迭代法进行求解，近似求得了螺旋槽内气体动压分布的解析解。

An approach to controlling chaos with linear-quadratic regulator is proposed according to the idea of OGY method, which is based on the linear analysis and control of the dynamics of the system in a Poincare section with parameter perturbation.

从OGY方法的参数微扰混沌控制思想出发，提出了基于线性二次型最优调节器的混沌控制方法。

The value of the Wiener Index for a class of linear phenylene molecular graph is calculated, and the linear recursive formulas is obtained, and then the exact expressions are gained by solving some difference equations of the recursions.

文章给出了一类一般线性聚亚苯基图hQ的Wiener拓扑指标的线性递推公式，通过求解差分方程而得到了它的Wiener拓扑指标的精确表达式。

A value of the Wiener index for a class of linear phenylene molecular graphhM is calculated, and a linear recursive formulas is obtained, and then a exact expressions is gained by solving some difference equations of the recursions.

给出了一类一般线性聚亚苯基图hM的Wiener拓扑指标的递推公式，通过求解差分方程而得到了它的Wiener拓扑指标的精确表达式。

A linear velocity of the transfer belt is set to be faster than linear velocity of an outer circumferential surface of the photosensitive medium contacting the transfer belt.

转印带的线速度快于同该转印带接触的感光介质的外周面的线速度。

An efficent piecewise linear function model is presented, it can be used to analyze chaotic circuits with piecewise linear elements by the general circuit program PSPICE.

本文提出了一种用通用电路分析程序PSPICE对含分段线性元件的混沌电路的模拟方法，采用有效的分段线性函数模型对动态混沌电路进行分析。

By constructing a different piecewise linear supply function, the existence of piecewise linear supply function equilibria in electricity market is proved. From the theoretical point of view, new results regarding existence of these equilibria are presented.

在这种电力市场环境下构造了一类分段线性供应函数，证明了分段线性供应函数纳什均衡解的存在性，从理论上获得了相关新结论，为电力市场供应函数均衡近似数值求解算法设计提供理论基础。

After that, based on the CVaR optimization model with transaction costs, we simulate smoothly the piecewise linear function in objective function separately, and obtain the continuous smooth CVaR optimization model. As an application, we explain via an example when the smooth simulation model is applied in the big scale investment portfolio choice problems, its convergence and stability has the enhancement comparing with the above linear model.

其次，在带交易费用的CVaR最优化模型的基础上，将模型目标函数进行了平滑模拟，得到连续平滑的CVaR最优化模型，并经过实例说明，对于较大规模投资组合选择问题，经过平滑模拟后的模型其解的收敛性和稳定性较之原模型的解都得到了提高。

For the problem that the suppression of co-channel interference and suppression of noise can't be balanced in signal-to-jamming and noise ratio maximization method for the linear precoding of multiuser multiple-input multiple-output downlink systems, an improved scheme that the term of noise variance is modified as a piecewise linear function is proposed, in which the balance between suppression of co-channel interference and suppression of noise can still be maintained even when the noise variance is a small value through piecewise modifying the term of noise variance, and thus the bit error rate and capacity of the systems are further improved.

针对多用户多输入多输出系统下行链路线性预编码的信干噪比最大化方法中，共信道干扰抑制和噪声抑制不能有效平衡的问题，提出将其中的噪声方差项修正为以噪声方差为变量的分段线性函数的改进方案。该方案通过对噪声方差项的分段修正，在噪声方差的值较小时依然能够保持共信道干扰抑制和噪声抑制间的平衡，从而使系统的误比特率性能和容量得到进一步提高。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。