Art

J-GLOBAL ID：201302275843356170   Reference number：13A0763781

制御理論-過去・現在・そして未来 最適化と制御-LMI再訪-

Author (1)： MASUBUCHI IZUMI (神戸大 大学院システム情報学研究科)
Material： 計測と制御  (Journal of the Society of Instrument and Control Engineers)
Volume： 52  Issue： 4  Page： 310-315  Publication year： Apr. 10, 2013 
JST Material Number： F0131A  ISSN： 0453-4662  CODEN： KESEA  Document type： Article
Article type： 解説  Country of issue： Japan (JPN)  Language： JAPANESE (JA)

Thesaurus term： *optimization ,  robustness ,  optimization problem ,  mathematical programming ,  inequality ,  *control theory ,  dual problem ,  relaxation method ,  Lagrange multipliers ,  Lagrange relaxation ,  *robust optimization ,  *linear matrix inequality ,  convex optimization problem ,  *semi-definite programming ,  *modification
Semi thesaurus term： *semi-positive definite programming

JST classification (1)： System optimization methods  (IA02050Z)

Reference (18)：

• 1) V. Balakrishnan and L. Vandenberghe: Semidefinite programming duality and linear time-invariant systems, IEEE AC, 48-1, 30/41 (2003)
• 2) Y. Ebihara, Y. Onishi and T. Hagiwara: Robust performance analysis of uncertain LTI systems: dual LMI approach and verifications for exactness, Proc. 46th IEEE CDC, 6304/6309 (2007)
• 3) T. Iwasaki and S. Hara: Generalized KYP Lemma: unified frequency domain inequalities with design applications, IEEE AC, IEEE Trans. Automat. Contr., 50-1, 41/59 (2005)
• 4) I. Masubuchi and C. W. Scherer: A recursive algorithm of exactness verification of relaxations for robust SDPs, <i>Systems & Control Letters</i>, <b>58</b>, 592/601 (2009)
• 5) A. Rantzer: On the Kalman-Yakubovich-Popov lemma, <i>Systems</i> & <i>Control Letters</i>, <b>28</b>, 7/10 (1996)

Terms in the title (4)： 制御理論 ,  未来 ,  最適化 ,  LMI