COPOSITIVE

作品数:12被引量:10H指数:2
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相关领域:理学更多>>
相关作者:高岩陈征李小新杨尚俊刘康更多>>
相关机构:上海理工大学宁波工程学院天津大学安徽大学更多>>
相关期刊:《Numerical Mathematics(Theory,Methods and Applications)》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》《Science China Mathematics》更多>>
相关基金:国家自然科学基金上海市教育委员会重点学科基金安徽省高等学校优秀青年人才基金更多>>
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Interval stability/stabilization of impulsive positive systems被引量:2
《Science China(Information Sciences)》2023年第1期206-219,共14页Xuezhen WANG Huasheng ZHANG Jianwei XIA Wei SUN Guangming ZHUANG 
supported by National Natural Science Foundation of China (Grant Nos.61973148,62173174);Natural Science Foundation of Shandong Province for Key Projects (Grant No.ZR2020KA010);Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions (Grant No.2019KJI010);Graduate Education High-Quality Curriculum Construction Project for Shandong Province (Grant No.SDYKC20185)。
This paper investigates the criterion of interval stability of impulsive positive systems with timevarying delay using the idea of generalized pole placement and equivalent systems.Unlike previous stability conditions...
关键词:impulsive positive systems interval stability/stabilization copositive Lyapunov function convergence rate 
Hypergraph characterizations of copositive tensors被引量:1
《Frontiers of Mathematics in China》2021年第3期815-824,共10页Yue WANG Jihong SHEN Changjiang BU 
This work was supported by the National Natural Science Foundation of China(Grant Nos.11801115,12071097,12042103);the Natural Science Foundation of Heilongjiang Province(No.QC2018002);and the Fundamental Research Funds for the Central Universities.
A real symmetric tensor A=(ai_(1…im))∈R^([m,n]) is copositive(resp.,strictly copositive)if Ax^(m)≥0(resp.,Ax^(m)>0)for any nonzero nonnegative vector x∈ℝ^(n).By using the associated hypergraph of A,we give necessa...
关键词:Copositive tensor HYPERGRAPH positive system 
Further study on tensor absolute value equations被引量:3
《Science China Mathematics》2020年第10期2137-2156,共20页Chen Ling Weijie Yan Hongjin He Liqun Qi 
supported by National Natural Science Foundation of China(Grant Nos.11571087 and 11771113);Natural Science Foundation of Zhejiang Province(Grant No.LY17A010028);supported by the Hong Kong Research Grant Council(Grant Nos.PolyU 15302114,15300715,15301716 and 15300717)。
In this paper,we consider the tensor absolute value equations(TAVEs),which is a newly introduced problem in the context of multilinear systems.Although the system of the TAVEs is an interesting generalization of matri...
关键词:tensor absolute value equations H^+-tensor P-tensor copositive tensor generalized Newton method 
On Copositive Approximation in Spaces of Continuous Functions Ⅱ:The Uniqueness of Best Copositive Approximation
《Analysis in Theory and Applications》2016年第1期20-26,共7页Aref K. Kamal 
This paper is part II of "On Copositive Approximation in Spaces of Contin- uous Functions". In this paper, the author shows that if Q is any compact subset of real numbers, and M is any finite dimensional strict Che...
关键词:Strict Chebyshev spaces best copositive approximation change of sign. 
On Copositive Approximation in Spaces of Continuous Functions I:The Alternation Property of Copositive Approximation被引量:1
《Analysis in Theory and Applications》2015年第4期354-372,共19页Aref K.Kamal 
In this paper the author writes a simple characterization for the best copositive approximation to elements of C(Q) by elements of finite dimensional strict Chebyshev subspaces of C(Q) in the case when Q is any compac...
关键词:Strict Chebyshev spaces best copositive approximation change of sign 
关于正切换系统的共同线性copositive Lyapunov函数被引量:2
《控制工程》2010年第S1期14-17,共4页陈征 高岩 
国家自然科学基金资助项目(10671126);上海市重点学科建设基金资助项目(S30501);上海市研究生创新基金资助项目(JWCXSL0901)
研究了正线性系统的共同线性copositive Lyapunov函数。首先,基于几何性质给出了关于一对二阶正线性系统的定理的另一种证明。通过新的证明方法,把结果推广到有限个二阶正线性系统的情况.然后对三阶情况给出了一个结果。最后,对高阶的...
关键词:正线性系统 切换系统 共同线性copositive LYAPUNOV函数 
偕正矩阵的判定
《高等学校计算数学学报》2010年第1期37-46,共10页李小新 杨尚俊 
安徽省高校青年教师科研基金资助项目(2007jql188);池州学院重点课题基金资助项目(2006XK06)
1引言与背景知识本文中,我们用A≥0(>0)表示A是非负(正)矩阵(向量).若没有特殊说明,以下所讨论的矩阵(向量)都是n阶实对称矩阵(n维实向量).定义1对称矩阵A称为偕正的(copositive)。
关键词:COPOSITIVE strictly copositive symmetric matrices SIMPLEX 
Copositive approximation by rational functions with prescribed numerator degree
《Applied Mathematics(A Journal of Chinese Universities)》2009年第4期411-416,共6页YU Dan-sheng ZHOU Song-ping 
supported by the National Natural Science Foundation of China (10901044);Research Project of Hangzhou Normal University (YS05203154)
The paper proves that, if f(x) ∈ L^p[-1,1],1≤p〈∞ ,changes sign I times in (-1, 1),then there exists a real rational function r(x) ∈ Rn^(2μ-1)l which is eopositive with f(x), such that the following Ja...
关键词:copositive approximation rational functions approximation rate 
ON COPOSITIVE APPROXIMATION IN SOME CLASSICAL SPACES OF SEQUENCES被引量:1
《Analysis in Theory and Applications》2003年第2期136-144,共9页Aref Kamal 
In this paper the author writes a simple characterization for the best copositive approximation in c; the space of convergent sequences, by elements of finite dimensional Chebyshev subspaces, and shows that it is u-ni...
关键词:Chebyshev subspaces best copositive approximation changing of sign 
ON COPOSITIVE APPROXIMATION
《Analysis in Theory and Applications》1993年第2期104-110,共7页S.P.Zhou 
The present note investigates the divergence phenomenon of copositive approximation by poiynomials in L'spaces. We show that the Jackson type estimates cannot hold, in general, for moduli of smoothness of higher degree.
关键词:ON COPOSITIVE APPROXIMATION LIM 
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