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Volumn 1, Issue , 2002, Pages 644-649

LMI based robust stability conditions for linear uncertain systems: A numerical comparison

Author keywords

Linear matrix inequalities; Parameter dependent Lyapunov function; Polytopic uncertainty; Quadratic stability; Robust stability

Indexed keywords

CONTROL SYSTEM ANALYSIS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

EID: 0036993509     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (15)

References (13)
  • 1
    • 0022111023 scopus 로고
    • Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
    • August
    • B. R. Barmish. Necessary and sufficient conditions for quadratic stabilizability of an uncertain system. Journal of Optimization Theory and Applications, 46(4):399-408, August 1985.
    • (1985) Journal of Optimization Theory and Applications , vol.46 , Issue.4 , pp. 399-408
    • Barmish, B.R.1
  • 2
    • 0024699749 scopus 로고
    • A linear programming oriented procedure for quadratic stabilization of uncertain systems
    • July
    • J. Bernussou, P. L. D. Peres, and J. C. Geromel. A linear programming oriented procedure for quadratic stabilization of uncertain systems. Systems & Control Letters, 13(1):65-72, July 1989.
    • (1989) Systems & Control Letters , vol.13 , Issue.1 , pp. 65-72
    • Bernussou, J.1    Peres, P.L.D.2    Geromel, J.C.3
  • 6
    • 0030195747 scopus 로고    scopus 로고
    • Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
    • July
    • E. Feron, P. Apkarian, and P. Gahinet. Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions. IEEE Transactions on Automatic Control, 41(7):1041-1046, July 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.7 , pp. 1041-1046
    • Feron, E.1    Apkarian, P.2    Gahinet, P.3
  • 7
    • 0030106702 scopus 로고    scopus 로고
    • Affine parameter-dependent Lyapunov functions and real parametric uncertainty
    • March
    • P. Gahinet, P. Apkarian, and M. Chilali. Affine parameter-dependent Lyapunov functions and real parametric uncertainty. IEEE Transactions on Automatic Control, 41(3):436-442, March 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.3 , pp. 436-442
    • Gahinet, P.1    Apkarian, P.2    Chilali, M.3
  • 9
  • 10
    • 0002588085 scopus 로고    scopus 로고
    • A new robust D-stability condition for real convex polytopic uncertainty
    • May
    • D. Peaucelle, D. Arzelier, O. Bachelier, and J. Bernussou. A new robust D-stability condition for real convex polytopic uncertainty. Systems & Control Letters, 40(1):21-30, May 2000.
    • (2000) Systems & Control Letters , vol.40 , Issue.1 , pp. 21-30
    • Peaucelle, D.1    Arzelier, D.2    Bachelier, O.3    Bernussou, J.4
  • 11
    • 0034925745 scopus 로고    scopus 로고
    • A less conservative LMI condition for the robust stability of discrete-time uncertain systems
    • August
    • D. C. W. Ramos and P. L. D. Peres. A less conservative LMI condition for the robust stability of discrete-time uncertain systems. Systems & Control Letters, 43(5):371-378, August 2001.
    • (2001) Systems & Control Letters , vol.43 , Issue.5 , pp. 371-378
    • Ramos, D.C.W.1    Peres, P.L.D.2
  • 12
    • 0036531228 scopus 로고    scopus 로고
    • An LMI approach to compute robust stability domains for uncertain linear systems
    • April
    • D. C. W. Ramos and P. L. D. Peres. An LMI approach to compute robust stability domains for uncertain linear systems. IEEE Transactions on Automatic Control, 47(4):675-678, April 2002.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.4 , pp. 675-678
    • Ramos, D.C.W.1    Peres, P.L.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.