메뉴 건너뛰기




Volumn 39, Issue 10, 2003, Pages 1773-1781

Recursive algorithms for inner ellipsoidal approximation of convex polytopes

Author keywords

Convex polytope; Ellipsoidal approximation; Estimation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; OPTIMIZATION;

EID: 0042013001     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(03)00180-8     Document Type: Article
Times cited : (18)

References (18)
  • 1
    • 0032183672 scopus 로고    scopus 로고
    • Convergence properties of the membership set and noise model selection
    • Bai E.-W., Cho H., Tempo R. Convergence properties of the membership set and noise model selection. Automatica. 34:1998;1245-1249.
    • (1998) Automatica , vol.34 , pp. 1245-1249
    • Bai, E.-W.1    Cho, H.2    Tempo, R.3
  • 2
    • 0025489005 scopus 로고
    • Parameter estimation algorithms for a set-membership description of uncertainty
    • Belforte G., Bona B., Cerone V. Parameter estimation algorithms for a set-membership description of uncertainty. Automatica. 26:1990;887-898.
    • (1990) Automatica , vol.26 , pp. 887-898
    • Belforte, G.1    Bona, B.2    Cerone, V.3
  • 5
    • 0035508269 scopus 로고    scopus 로고
    • Stochastic algorithms for exact and approximate feasibility of robust lmis
    • Calafiore G., Polyak B.T. Stochastic algorithms for exact and approximate feasibility of robust lmis. IEEE Transactions on Automatic Control. 46:2001;1755-1759.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 1755-1759
    • Calafiore, G.1    Polyak, B.T.2
  • 7
    • 0020103099 scopus 로고
    • On the value of information in system identification - Bounded noise case
    • Fogel E., Huang Y.F. On the value of information in system identification - bounded noise case. Automatica. 18:1982;229-238.
    • (1982) Automatica , vol.18 , pp. 229-238
    • Fogel, E.1    Huang, Y.F.2
  • 9
    • 0042778011 scopus 로고
    • On the complexity of approximating the maximal inscribed ellipsoid for a polytope
    • Khachiyan L.G., Todd M.J. On the complexity of approximating the maximal inscribed ellipsoid for a polytope. Mathematical Programming. 61:1990;137-159.
    • (1990) Mathematical Programming , vol.61 , pp. 137-159
    • Khachiyan, L.G.1    Todd, M.J.2
  • 10
    • 0025568468 scopus 로고
    • Fast and robust algorithm to compute exact polytope parameter bounds
    • Mo, S. H., & Norton, J. P. (1990). Fast and robust algorithm to compute exact polytope parameter bounds. Maths. & Computers in Simulation 32, 481-493.
    • (1990) Maths. & Computers in Simulation , vol.32 , pp. 481-493
    • Mo, S.H.1    Norton, J.P.2
  • 12
    • 0000686629 scopus 로고
    • A general method for solving extremum problems
    • Polyak B.T. A general method for solving extremum problems. Soviet Mathematics Doklady. 3:1967;593-597.
    • (1967) Soviet Mathematics Doklady , vol.3 , pp. 593-597
    • Polyak, B.T.1
  • 13
    • 0034916989 scopus 로고    scopus 로고
    • Probabilistic robust design with linear quadratic regulators
    • Polyak B.T., Tempo R. Probabilistic robust design with linear quadratic regulators. System and Control Letters. 43:2001;343-353.
    • (2001) System and Control Letters , vol.43 , pp. 343-353
    • Polyak, B.T.1    Tempo, R.2
  • 14
    • 0042794680 scopus 로고    scopus 로고
    • Volume-optimal inner and outer ellipsoids
    • M. Milanese et al. (Eds.), New York: Plenum Press
    • Pronzato, L., & Walter, E. (1996). Volume-optimal inner and outer ellipsoids. In M. Milanese et al. (Eds.), Bounding approaches to system identification, New York: Plenum Press, pp 119-138.
    • (1996) Bounding Approaches to System Identification , pp. 119-138
    • Pronzato, L.1    Walter, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.