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Volumn 17, Issue 5-6, 2007, Pages 435-461

Model approximation using magnitude and phase criteria: Implications for model reduction and system identification

Author keywords

Model approximation; Model reduction; Semidefinite programs; System identification

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; HILBERT SPACES; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; OPTIMIZATION; TRANSFER FUNCTIONS;

EID: 33947424854     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1124     Document Type: Review
Times cited : (21)

References (25)
  • 3
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability, and model reduction
    • Moore BC. Principal component analysis in linear systems: controllability, observability, and model reduction. IEEE Transactions on Automatic Control 1981; 26(1):17-32.
    • (1981) IEEE Transactions on Automatic Control , vol.26 , Issue.1 , pp. 17-32
    • Moore, B.C.1
  • 6
    • 33947365101 scopus 로고    scopus 로고
    • Optimal model order reduction for maximal real part norms
    • Directions in Mathematical Systems Theory and Optimization, Rantzer A, Byrnes C eds, Springer: Berlin
    • Megretski A. Optimal model order reduction for maximal real part norms. In Directions in Mathematical Systems Theory and Optimization, Rantzer A, Byrnes C (eds), Lecture Notes in Control and Information Sciences, vol. 286. Springer: Berlin, 2003; 217-226.
    • (2003) Lecture Notes in Control and Information Sciences , vol.286 , pp. 217-226
    • Megretski, A.1
  • 7
    • 27944495726 scopus 로고    scopus 로고
    • A quasi-convex optimization approach to parametrized model order reduction
    • Anaheim, CA, U.S.A, June
    • Sou KC, Megretski A, Daniel L. A quasi-convex optimization approach to parametrized model order reduction. Proceedings of Design Automation Conference, Anaheim, CA, U.S.A., June 2005.
    • (2005) Proceedings of Design Automation Conference
    • Sou, K.C.1    Megretski, A.2    Daniel, L.3
  • 10
    • 0024016176 scopus 로고
    • Hilbert transform and gain/phase error bounds for rational functions
    • Anderson BDO, Green M. Hilbert transform and gain/phase error bounds for rational functions. IEEE Transactions on Circuits and Systems 1988; 35(5):528-535.
    • (1988) IEEE Transactions on Circuits and Systems , vol.35 , Issue.5 , pp. 528-535
    • Anderson, B.D.O.1    Green, M.2
  • 15
    • 84916068208 scopus 로고
    • An algebraic solution to the spectral factorization problem
    • Anderson BDO. An algebraic solution to the spectral factorization problem. IEEE Transactions on Automatic Control 1967; 12(4):410-414.
    • (1967) IEEE Transactions on Automatic Control , vol.12 , Issue.4 , pp. 410-414
    • Anderson, B.D.O.1
  • 16
    • 0001436301 scopus 로고
    • The solution of certain matrix inequalities in automatic control theory
    • Yakubovich VA. The solution of certain matrix inequalities in automatic control theory. Soviet Mathematics Doklady 1962; 3:620-623.
    • (1962) Soviet Mathematics Doklady , vol.3 , pp. 620-623
    • Yakubovich, V.A.1
  • 17
    • 0012648348 scopus 로고
    • The solution of certain matrix inequalities encountered in nonlinear control theory
    • Yakubovich VA. The solution of certain matrix inequalities encountered in nonlinear control theory. Soviet Mathematics Doklady 1964; 5:652-656.
    • (1964) Soviet Mathematics Doklady , vol.5 , pp. 652-656
    • Yakubovich, V.A.1
  • 19
    • 0002676302 scopus 로고    scopus 로고
    • On the Kalman-Yakubovich-Popov lemma
    • Rantzer A. On the Kalman-Yakubovich-Popov lemma. Systems and Control Letters 1996; 28(1):7-10.
    • (1996) Systems and Control Letters , vol.28 , Issue.1 , pp. 7-10
    • Rantzer, A.1
  • 20
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • Parrilo PA. Semidefinite programming relaxations for semialgebraic problems. Mathematical Programming 2003; 96(2):293-320.
    • (2003) Mathematical Programming , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 21
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • Available from
    • Sturm JF. Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software 1999; 11-12:625-653. Available from http://fewcal.kub.nl/sturm/software/sedumi. html
    • (1999) Optimization Methods and Software , vol.11-12 , pp. 625-653
    • Sturm, J.F.1
  • 22
    • 20344396845 scopus 로고    scopus 로고
    • YALMIP: A toolbox for modeling and optimization in MATLAB
    • Taipei, Taiwan, Available from
    • Löfberg J. YALMIP: a toolbox for modeling and optimization in MATLAB. Proceedings of the CACSD Conference, Taipei, Taiwan, 2004. Available from http://control.ee.ethz.ch/~joloef/yalmip.php
    • (2004) Proceedings of the CACSD Conference
    • Löfberg, J.1
  • 23
    • 0001157581 scopus 로고    scopus 로고
    • Some concrete aspects of Hilbert's 17th problem
    • Reznick B. Some concrete aspects of Hilbert's 17th problem. Contemporary Mathematics 2000; 253:251-272.
    • (2000) Contemporary Mathematics , vol.253 , pp. 251-272
    • Reznick, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.