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Volumn , Issue , 2007, Pages 3620-3627

A sequentially optimal randomized algorithm for robust LMI feasibility problems

Author keywords

Linear matrix inequalities (LMIs); Randomized algorithms; Robust control

Indexed keywords

ROBUST CONTROL;

EID: 84927739765     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2007.7068667     Document Type: Conference Paper
Times cited : (14)

References (22)
  • 1
    • 84927723203 scopus 로고    scopus 로고
    • A new vertex result for robustness problems with interval matrix uncertainty
    • Downloadable from, October
    • T. Alamo, R. Tempo, D. R. Ramirez, and E. F. Camacho. A new vertex result for robustness problems with interval matrix uncertainty. In Submitted to the ECC-07 Conference. Downloadable from http://telefonica. net/web2/teodoroalamo, October 2006.
    • (2006) Submitted to the ECC-07 Conference
    • Alamo, T.1    Tempo, R.2    Ramirez, D.R.3    Camacho, E.F.4
  • 4
    • 0036576781 scopus 로고    scopus 로고
    • On avoiding vertexization of robustness problems: The approximate feasibility concept
    • May
    • B. R. Barmish and P. S. Scherbakov. On avoiding vertexization of robustness problems: The approximate feasibility concept. IEEE Transactions on Automatic Control, 47(5):819-824, May 2002.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.5 , pp. 819-824
    • Barmish, B.R.1    Scherbakov, P.S.2
  • 6
    • 0037856528 scopus 로고
    • Linear matrix inequalities in systems and control theory
    • Philadelphia, PA
    • S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in Systems and Control Theory. SIAM, Philadelphia, PA, 1994.
    • (1994) SIAM
    • Boyd, S.1    Ghaoui, L.E.2    Feron, E.3    Balakrishnan, V.4
  • 7
    • 12344268988 scopus 로고    scopus 로고
    • Uncertain convex programs: Randomized solutions and confidence levels
    • G. Calafiore and M. C. Campi. Uncertain convex programs: randomized solutions and confidence levels. Math. Program., 102:25-46, 2005.
    • (2005) Math. Program , vol.102 , pp. 25-46
    • Calafiore, G.1    Campi, M.C.2
  • 9
    • 84994456799 scopus 로고    scopus 로고
    • A probabilistic analytic center cutting plane method for feasibility of uncertain LMIs
    • G. Calafiore and F. Dabbene. A probabilistic analytic center cutting plane method for feasibility of uncertain LMIs. Technical Report, pages 1-28, 2006.
    • (2006) Technical Report , pp. 1-28
    • Calafiore, G.1    Dabbene, F.2
  • 10
    • 0035508269 scopus 로고    scopus 로고
    • Stochastic algorithms for exact and approximate feasibility of robust LMIs
    • November
    • G. Calafiore and B. T. Polyak. Stochastic algorithms for exact and approximate feasibility of robust LMIs. IEEE Transactions on Automatic Control, 46(11):1755-1759, November 2001.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.11 , pp. 1755-1759
    • Calafiore, G.1    Polyak, B.T.2
  • 11
    • 0042202191 scopus 로고    scopus 로고
    • Probabilistic design of LPV control systems
    • Y. Fujisaki, F. Dabbene, and R. Tempo. Probabilistic design of LPV control systems. Automatica, 39:1323-1337, 2003.
    • (2003) Automatica , vol.39 , pp. 1323-1337
    • Fujisaki, Y.1    Dabbene, F.2    Tempo, R.3
  • 12
    • 0017007748 scopus 로고
    • Regulators for linear, time invariant plants with uncertain parameters
    • October
    • H. P. Horisberger and P. R. Belanger. Regulators for linear, time invariant plants with uncertain parameters. IEEE Transactions on Automatic Control, 21(5):705-708, October 1976.
    • (1976) IEEE Transactions on Automatic Control , vol.21 , Issue.5 , pp. 705-708
    • Horisberger, H.P.1    Belanger, P.R.2
  • 13
    • 0038729656 scopus 로고    scopus 로고
    • An ellipsoid algorithm for probabilistic robust controller design
    • S. Kanev, B. De Schutter, and M. Verhaegen. An ellipsoid algorithm for probabilistic robust controller design. Systems and Control Letters, 49:365-375, 2003.
    • (2003) Systems and Control Letters , vol.49 , pp. 365-375
    • Kanev, S.1    De Schutter, B.2    Verhaegen, M.3
  • 14
    • 3042551158 scopus 로고    scopus 로고
    • Common Lyapunov functions and gradient algorithms
    • June
    • D. Liberzon and R. Tempo. Common Lyapunov functions and gradient algorithms. IEEE Transactions on Automatic Control, 49(6):990-994, June 2004.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.6 , pp. 990-994
    • Liberzon, D.1    Tempo, R.2
  • 15
    • 0036462808 scopus 로고    scopus 로고
    • Survey on bundle methods for nonsmooth optimization
    • M. M. Mäkelä. Survey on bundle methods for nonsmooth optimization. Optimization Methods and Software, 17(1):1-29, 2002.
    • (2002) Optimization Methods and Software , vol.17 , Issue.1 , pp. 1-29
    • Mäkelä, M.M.1
  • 16
    • 0027798081 scopus 로고
    • Several NP-hard problems arising in robust stability analysis
    • A. Nemirovskii. Several NP-hard problems arising in robust stability analysis. Mathematics of Control, Signal and Systems, 6(2):99-105, 1993.
    • (1993) Mathematics of Control, Signal and Systems , vol.6 , Issue.2 , pp. 99-105
    • Nemirovskii, A.1
  • 17
    • 1542320265 scopus 로고    scopus 로고
    • Probabilistic design of a robust state-feedback controller based on parameter-dependent Lyapunov functions
    • Maui, Hawaii USA, December
    • Y. Oishi. Probabilistic design of a robust state-feedback controller based on parameter-dependent Lyapunov functions. In Proceedings of the 42nd IEEE Conference on Decision and Control, pages 1920-1925, Maui, Hawaii USA, December 2003.
    • (2003) Proceedings of the 42nd IEEE Conference on Decision and Control , pp. 1920-1925
    • Oishi, Y.1
  • 19
    • 0034916989 scopus 로고    scopus 로고
    • Probabilistic robust design with linear quadratic regulators
    • B. T. Polyak and R. Tempo. Probabilistic robust design with linear quadratic regulators. Systems and Control Letters, 43(5):343-353, 2001.
    • (2001) Systems and Control Letters , vol.43 , Issue.5 , pp. 343-353
    • Polyak, B.T.1    Tempo, R.2
  • 20
    • 33947429941 scopus 로고    scopus 로고
    • Lmi relaxations in robust control
    • C. Scherer. Lmi relaxations in robust control. European Journal of Control, 12(1):3-29, 2006.
    • (2006) European Journal of Control , vol.12 , Issue.1 , pp. 3-29
    • Scherer, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.