| 1. | Frequency criteria for schur stability of matrix polynomials
稳定性的频域判据 |
| 2. | Some properties on generalized schur complements
余的性质 |
| 3. | It is easy to prove that the irreducible representation of finite group satisfies orthogonal relation through the usage of schur lemma
摘要利用舒尔引理，很容易证明有限群的不可约表示满足正交关系。 |
| 4. | Establishing a sufficient condition for the schur stability based on the radius of robust stability of schur - cohn polynomial . then , using the above result to establish a necessary and sufficient condition for the robust schur stability of interval polynomial and an algorithm to check the schur stability of interval polynomial . 2
在多项式的鲁棒schur稳定半径基础上，给出一个判断区间多项式鲁棒schur稳定的充分条件，应用这一充分条件建立了一个判断区间多项式的鲁棒schur稳定的充分必要条件并且给出一个判断区间多项式的鲁棒schur稳定的算法。 |
| 5. | The second part of this paper is mainly concerned about an interesting matrix inequality presented in [ 5 ] , which is then generalized in m ~ " under the entry - wise nonnegative ordering . we introduced the concept of sub - kronecker product , and establish an inequality which relates the schur complement of a and b for positive semidefinite matrices a and b . our results improve the related known results obtained by t . l . markham and r . l . smith in 1998 ( see [ 5 ] )
第二部分研究了文献[ 5 ]中提出的一个有趣的矩阵不等式，并将此不等式在逆m -矩阵中推广，然后引入次kronecker乘法的概念，提出并证明了一个更广泛的不等式，改进了t . l . markham和r . l . smith在[ 5 ]中的有关结果。 |
| 6. | Transforming the problem of robust hurwitz and schur stability of interval system into checking the nonsingularity of a set of uncertain matrices , then establish necessary and sufficient conditions for the robust hurwitz and the robust schur stability of interval system base on - analysis . 3 . a new sufficient lmi condition for the robust stability is established with respect to polytopic uncertainty
把区间系统等价转换为一参数扰动矩阵集，利用这个转换我们把连续区间系统的鲁棒hurwtiz稳定和离散区间系统的鲁棒schur稳定的等价于一参数扰动矩阵集的鲁棒非奇异问题，然后利用结构奇异值的定义，给出区间系统的鲁棒hurwtiz稳定和鲁棒schur稳定的结构奇异值的充分必要条件。 |
| 7. | Based on definitions of quadratic stability , quadratic stabilizability and guaranteed cost control , lyapunov inequality , schur complement and linear matrix inequality are adopted in this paper . stability , stabilization and guaranteed cost control for interval 2 - d systems are discussed in this paper
本文采用了二次稳定、二次可镇定、保性能控制等概念，运用lyapunov不等式、 schur补和线性矩阵不等式等手段，深入研究了区间2 - d系统的稳定与镇定以及保性能控制问题。 |
| 8. | An algorithm for matching the esprit ' s estimation of two - dimensional angle by using twice svd and once schur is proposed . using two row uniformity sensor - arrays and adding one sensor , the algorithm decomposes the array twice and exploits rotational invariance properties of signal space , so that both angles may be computed via matrix pencil method , and these estimates are automatically paired . simulation results are presented to verify the efficacy of the proposed algorithm
首先针对esprit算法对窄带源进行二维doa估计存在测向冗余的情况，提出了一种改进算法，该算法利用子阵信号数据矩阵中包含的信号空间的旋转不变性质，借助于矩阵束方法求解出信号的二维到达角，并且利用两次奇异值及一次schur分解从而实现了esprit二维doa估计参量的自动配对； 2 |
