实数不等式在矩阵论中的推广
The Extension of Real Inequality in Matrix Theory
摘要
通过实数不等式,将其推广到矩阵领域,借助酉不变范数对其进一步推广。
Firstly, give a real number inequality and extend it to the field of matrices, using the unitary in-variant norm to further generalize it.
出处
《理论数学》
2024年第2期624-628,共5页
Pure Mathematics
参考文献4
-
1陈跃鹏,姚波,苏晓明,张庆灵.具有Frobenius范数界的不确定广义系统鲁棒二次稳定完整性[J].沈阳工业大学学报,2002,24(2):173-176. 被引量:4
-
2许可,顾尚泰,元志安,万建伟,马燕新,王玲.基于Frobenius范数奇异值分解的快速ICP算法[J].太赫兹科学与电子信息学报,2023,21(10):1263-1270. 被引量:1
-
3胡汭.一个实数不等式在矩阵论中的推广[J].淮北师范大学学报(自然科学版),2016,37(1):75-77. 被引量:1
-
4戴之皓.伯努利不等式的介绍与推广[J].青年与社会,2019,0(6):158-159. 被引量:1
二级参考文献15
-
1邓永德.贝努利不等式的推广及运用[J].四川职业技术学院学报,2005,15(4):87-87. 被引量:2
-
2[1]Xu S Y, Yang C W. An algebraic approach to the robust stability analysis and robust stabilization of uncertain singular systems[J]. International Journal of Systems Science, 2000.31(1):55-61.
-
3[2]Fujita M, Shimemura E. A new type of linear state feed back control possessing integrity based on a solution of generalized Riccati-type equation[J]. Control-Theory and Advanced Technology, 1986(2): 563 - 575.
-
4[3]Shimemura E, Fujita M A. Design method for linear state feed back systems possessing integrity based on a soltion of a Rieotta-type equation[J]. International Journal of Control, 1985,42:881 - 889.
-
5[4]Chen Y P, Zhang Q L. Fault-tolerant control about integrity for descriptor systems [ A ]. 39th IEEE Conference on Decision and Control, 2000,1 359 - 1 360.
-
6[5]Petersen I R. A stabilization algorithm for a class of uncertain linear systems [ J ]. System and Control Letter. 1987. 8:351 - 357.
-
7[6]Lee J H. Quadratic stability and stabilization of linear systems with frobenius norm-bounded uncertainties[ J ]. IEEE Transaction on Automatic Control, 1996, 41 (3): 453 - 456.
-
8[7]Dai L Y. Singular Control Systems[M]. Berlin: Springer-veflag, 1989.
-
9[8]Masubuchi I, Kamitane Y, Ohara A, et al. H∞ Control for descriptor systems: a natrix inequalities approach[J]. Automatica, 1997, 33(4): 669 - 673.
-
10王松桂,吴密霞,贾忠贞.矩阵不等式[M].2版.北京:科学出版社,2006:86-88.
共引文献3
-
1陈跃鹏,张庆灵,翟丁.基于控制器增益变化的广义系统可靠性保成本控制[J].电机与控制学报,2004,8(3):253-257.
-
2冯钧,王刚.广义不确定周期时变系统具有完整性的二次稳定[J].工业控制计算机,2013,26(8):60-62.
-
3陈跃鹏,张庆灵,翟丁,徐天群.基于观测器的广义系统H_∞可靠性控制器[J].东北大学学报(自然科学版),2003,24(7):631-634. 被引量:4