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Volumn 57, Issue 6, 2008, Pages 474-481

A new vertex result for robustness problems with interval matrix uncertainty

Author keywords

Interval matrices; Linear matrix inequalities; Robustness problems; Vertex results

Indexed keywords

ASYMPTOTIC STABILITY; ENERGY CONSERVATION; LINEAR MATRIX INEQUALITIES; PROBLEM SOLVING; SYSTEM STABILITY; UNCERTAINTY ANALYSIS;

EID: 41949133406     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2007.11.003     Document Type: Article
Times cited : (48)

References (20)
  • 3
    • 0036353423 scopus 로고    scopus 로고
    • On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty
    • Ben-Tal A., and Nemirovski A. On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty. SIAM Journal on Optimization 12 (2002) 811-833
    • (2002) SIAM Journal on Optimization , vol.12 , pp. 811-833
    • Ben-Tal, A.1    Nemirovski, A.2
  • 5
    • 0035508269 scopus 로고    scopus 로고
    • Stochastic algorithms for exact and approximate feasibility of robust LMIs
    • Calafiore G., and 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
    • 0026854467 scopus 로고
    • The extreme eigenvalues and stability of real symmetric interval matrices
    • Hertz D. The extreme eigenvalues and stability of real symmetric interval matrices. IEEE Transactions on Automatic Control 37 (1992) 532-535
    • (1992) IEEE Transactions on Automatic Control , vol.37 , pp. 532-535
    • Hertz, D.1
  • 9
    • 0001725233 scopus 로고
    • Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
    • Kharitonov V.L. Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. Differential'nye Uravneniya 14 (1978) 1483-1485
    • (1978) Differential'nye Uravneniya , vol.14 , pp. 1483-1485
    • Kharitonov, V.L.1
  • 10
    • 0030260606 scopus 로고    scopus 로고
    • Robust constrained model predictive control using linear matrix inequalities
    • Kothare M.V., Balakrishnan V., and Morari M. Robust constrained model predictive control using linear matrix inequalities. Automatica 32 (1996) 1361-1379
    • (1996) Automatica , vol.32 , pp. 1361-1379
    • Kothare, M.V.1    Balakrishnan, V.2    Morari, M.3
  • 12
    • 0027798081 scopus 로고
    • Several NP-hard problems arising in robust stability analysis
    • Nemirovskii A. Several NP-hard problems arising in robust stability analysis. Mathematics of Control, Signal and Systems 6 (1993) 99-105
    • (1993) Mathematics of Control, Signal and Systems , vol.6 , pp. 99-105
    • Nemirovskii, A.1
  • 14
    • 0034916989 scopus 로고    scopus 로고
    • Probabilistic robust design with linear quadratic regulators
    • Polyak B.T., and Tempo R. Probabilistic robust design with linear quadratic regulators. Systems and Control Letters 43 (2001) 343-353
    • (2001) Systems and Control Letters , vol.43 , pp. 343-353
    • Polyak, B.T.1    Tempo, R.2
  • 15
  • 16
    • 0028754775 scopus 로고
    • The interval Sylvester equation
    • Seif N.P., Hussein S.A., and Deif A.S. The interval Sylvester equation. Computing 52 (1994) 233-244
    • (1994) Computing , vol.52 , pp. 233-244
    • Seif, N.P.1    Hussein, S.A.2    Deif, A.S.3
  • 18
    • 0031383712 scopus 로고    scopus 로고
    • Robustness analysis with full-structured uncertainties
    • Young P.M. Robustness analysis with full-structured uncertainties. Automatica 33 (1997) 2131-2145
    • (1997) Automatica , vol.33 , pp. 2131-2145
    • Young, P.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.