本文主要研究内容
作者（2019）在《New Result on Delay-dependent Stability for Markovian Jump Time-delay Systems With Partial Information on Transition Probabilities》一文中研究指出：This paper focuses on the delay-dependent stability for a kind of Markovian jump time-delay systems(MJTDSs),whose transition rates are incompletely known. In order to reduce the computational complexity and achieve better performance,auxiliary function-based double integral inequality is combined with extended Wirtinger’s inequality and Jensen inequality to deal with the double integral and the triple integral in augmented Lyapunov-Krasovskii function(ALKF) and their weak infinitesimal generator respectively, the more accurate approximation bounds with a fewer variables are derived. As a result, less conservative stability criteria are proposed in this paper. Finally,numerical examples are given to show the effectiveness and the merits of the proposed method.
Abstract
This paper focuses on the delay-dependent stability for a kind of Markovian jump time-delay systems(MJTDSs),whose transition rates are incompletely known. In order to reduce the computational complexity and achieve better performance,auxiliary function-based double integral inequality is combined with extended Wirtinger’s inequality and Jensen inequality to deal with the double integral and the triple integral in augmented Lyapunov-Krasovskii function(ALKF) and their weak infinitesimal generator respectively, the more accurate approximation bounds with a fewer variables are derived. As a result, less conservative stability criteria are proposed in this paper. Finally,numerical examples are given to show the effectiveness and the merits of the proposed method.
论文参考文献
[1].Atomic decompositions and Hardy’s inequality on weak Hardy-Morrey spaces[J]. HO Kwok-Pun. Science China(Mathematics).2017(03)[2].On the L_p-Dual Mixed Volumes[J]. Lian Ying CHEN,Chang Jian ZHAO. Acta Mathematica Sinica.2013(09)[3].Brascamp-Lieb inequality for positive double John basis and its reverse[J]. LI Ai-Jun 1,2, & LENG GangSong 1 1 Department of Mathematics, Shanghai University, Shanghai 200444, China; 2 School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;. Science China(Mathematics).2011(02)[4].On a New Reverse Extended Hardy’s Integral Inequality[J]. Bi Cheng YANG Department of Mathematics,Guangdong Education Institute,Guangdong 510303,P.R.China. 数学研究与评论.2011(03)[5].TWO OU-IANG TYPE NONLINEAR INTEGRAL INEQUALITIES AND APPLICATION[J]. Yuzhong Zhao, Jifeng Guo (College of Science, Qingdao Technological University, Qingdao 266033, Shandong,). Annals of Differential Equations.2010(02)[6].An Improvement of the Hardy-Hilbert Type Integral Inequalities and an Application[J]. HE Le-ping~1 CHEN Xiao-yu~2 SHANG Xiao-zhou~2 (1.Department of Mathematics and Computer Science,Jishou University,Jishou 416000,China; 2.Department of Mathematics and Computer Science,Normal College,Jishou University,Jishou 416000,China). 数学季刊.2007(01)[7].A GENERALIZATION OF A RETARDED INEQUALITY AND ITS APPLICATIONS[J]. Zhao Ping Meng Fanwei (Dept. of Math., Qufu Normal University, Qufu 273165) Zhao Yan (College of Science, Jinan University, Jinan 250022). Annals of Differential Equations.2006(01)[8].A predictor-corrector interior-point algorithm for monotone variational inequality problems[J]. 梁昔明,钱积新. Journal of Zhejiang University Science.2002(03)[9].Nikolskii type inequality for cardinal splines[J]. 房艮孙. Science in China,Ser.A.1998(12)[10].A matrix version of the Wielandt inequality and its application to statistics[J]. WANG Songgui Wai-Cheung IpDepartment of Applied Mathematics, Beijing Polytechnic University, Beijing 100022, China ; Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China ; Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China. Chinese Science Bulletin.1999(02)
论文详细介绍
论文作者分别是来自IEEE/CAA Journal of Automatica Sinica的，发表于刊物IEEE/CAA Journal of Automatica Sinica2019年06期论文，是一篇关于,IEEE/CAA Journal of Automatica Sinica2019年06期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自IEEE/CAA Journal of Automatica Sinica2019年06期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。
标签：IEEE; CAA Journal of Automatica Sinica2019年06期论文;
：New Result on Delay-dependent Stability for Markovian Jump Time-delay Systems With Partial Information on Transition Probabilities论文
下载Doc文档