Art

J-GLOBAL ID：201202279024312226   Reference number：12A1101950

Sum of Squares Based Input-to-State Stability Analysis of Polynomial Nonlinear Systems

多項式非線形システムの二乗和ベース入力・状態の安定性解析

Author (1)： ICHIHARA Hiroyuki (Meiji Univ., Kawasaki, JPN)
Material： SICE Journal of Control, Measurement, and System Integration  (SICE JCMSI)
Volume： 5  Issue： 4  Page： 218-225  Publication year： Jul. 31, 2012 
JST Material Number： L7831A  ISSN： 1882-4889  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *polynomial ,  *nonlinear system ,  *stability analysis ,  *mathematical programming ,  *cascade connection ,  *Feedback ,  *semi-definite programming
Semi thesaurus term： cascaded connection ,  stability analysis ,  *Semidefinite programming ,  semi-positive definite programming ,  *nonlinear system

JST classification (3)： Metrology in general  (AD01000Q) ,  System and control engineering in general  (IA01010A) ,  System and control theory in general  (IA02010H)

Reference (25)：

• [1] H.K.Khalil:Nonlinear Systems,third edition,Prentice Ha11,2001.
• [2] P.A.Parrilo:Structured Semidefinite Programs and Semial-gebraic Geometry Methods in Robustness and Optimization,Ph・D・dissertion, California Institute of Technology,2000.
• [3] G.Chesi,A.Garulli,A.Tesi,and A.Vicion:Homoge-neous Polynomial Forms for Robustness Analysis of Uncertain Systems,Lecture Notes in Control and Information Sciences Vo1.390,Springer,2009.
• [4] H.Ichihara:Optimal control for polynomial systems using ma-trix sum of squares relaxations,IEEE Transactions on Auto-matic Control, VbL.54,No.5,pp.1050-1055,2009.
• [5] Z. Jarvis-Wloszek,R.Feeley,W.Tan,K.Sun,and A.Packard:Control applications of sum of squares programming,Positive Polynomials and Control,Lecture Notes in Control and lnfor-mation Sciences Vo1.312,Springer,pp.3-22,2005.

Terms in the title (3)： 多項式 ,  非線形システム ,  安定性解析