双线性

Using the property of the bilinear and trilinear form, a priori bound for solutions of a weak formulation is given.

利用双线性函数和三线性函数的性质，论述了各子问题的有界性、强制性以及解的先验估计。

Based on the existence of the solution to a LMI, a sufficient condition is obtained under which the composite systems can be quadratically stabilized with a H〓 norm bound constant on disturbance attenuation for all admissible uncertainties and a necessary and sufficient condition is obtained using BMI.

采用线性矩阵不等式方法，给出了系统可鲁棒H〓分散镇定的充分条件；采用双线性矩阵不等式方法，给出了系统可鲁棒H〓动态输出反馈分散镇定的充要条件，并给出了算法。

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

By remove the outer corner, it can get the best transformation matrix. Finally, the thesis use backward mapping and bilinear interpolation function to execute interpolation calculation in image merge. And then it use overlapped area linear transition method to build a seamless integrated image.

最后通过使用后向映射和双线性插值法在图像合并过程中进行插值运算，并使用重叠区域线性过渡算法来消除图像拼接缝，实现图像之间的无缝拼接。

Singular bilinear system, different from a linear singular system, is a kind of nonlinear singular system. Control theories and applications of nonlinear systems have always been a hot research focus due to their potentials.

广义双线性系统是最接近广义线性系统的一类广义非线性系统，非线性系统的理论分析与应用一直是控制领域研究的热点与难点。

For general discrete bilinear system, this paper proposed a stability criteria which is sufficient for systems with linear feedback. The smallest attracting range is also obtained. Based on the criteria, a simple control law is proposed to guarantee the uniformly asymptotically stability of zero state.

对于一般离散双线性系统，本文提出了系统在线性反馈下的稳定性判据和最小吸引域，并给出了一种简单的控制方案，保证闭环系统在原点的一致渐近稳定性。

Parameter identification Markov method for continuous stochastic linear system and bilinear system via wavelet transform The statistical properties of continuous Wiener process are studied.

基于小波变换的离散随机线性和双线性系统参数辨识Markov方法分析了由白噪声驱动的有理滤波器输出随机信号在小波变换下的滤波和去相关特性，提出一种在线估计噪声协方差矩阵及其Cholesky分解因子的方法。

The new problems and challenges appearing in the nonlinear applicationes are solved, which makes subspace identification more applicable to the modeling and control of industrial process. With regards to bilinear system, a major drawback is that the subspace identification methods induce enormous dimension of the data matrices, which grows exponentially with the increase of the model order.

针对两类特殊的非线性系统，双线性系统和分段线性系统，从子空间辨识的设计与实现出发，提出新的辨识算法，解决子空间方法应用于非线性系统辨识遇到的新问题，使得子空间方法在工业过程的辨识与建模中具有更强的实用性。

At the same time, we develop the d esign approach of robust control of exact feedback linearizable bilinear systems .

同时，在非线性不确定的条件下，讨论了双线性系统精确线性化的鲁棒控制器的设计问题。

In the fifth part, the H〓 control problem for Lur'e systems with multiple nonlinearities is discussed. The existence is reduced to solvability of multiple linear matrix inequalities. And the design method is simple and feasible via iterative optimal algorithm based on the interior-point method of LMI.

第五部分：研究了具有多个非线性环节的Lur'e系统的H〓控制问题，给出了基于双线性代数矩阵不等式的可解条件，此结果可覆盖关于线性系统相应问题的结论，同时又避免了目前在非线性系统H〓控制的研究中出现的偏微分矩阵不等式难以求解的问题。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新