메뉴 건너뛰기




Volumn 41, Issue 6, 2003, Pages 1661-1695

Robust dissipativity of interval uncertain linear systems

Author keywords

Contractive systems; Dissipative linear systems; Interval matrices; Interval uncertain LMIs; Positive real systems; Riccati equation; Semidefinite programming

Indexed keywords

COMPUTATIONAL COMPLEXITY; LYAPUNOV METHODS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; PROBLEM SOLVING; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

EID: 0348220631     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012901398174     Document Type: Article
Times cited : (17)

References (10)
  • 1
    • 0000821562 scopus 로고    scopus 로고
    • Robust semidefinite programming
    • H. Wolkowicz, R. Saigal, and L. Vandenberghe, eds., Kluwer Academic, Norwell, MA
    • A. BEN-TAL, L. EL GHAOUI, AND A. NEMIROVSKI, Robust semidefinite programming, in Handbook on Semidefinite Programming, H. Wolkowicz, R. Saigal, and L. Vandenberghe, eds., Kluwer Academic, Norwell, MA, 2000, pp. 139-162.
    • (2000) Handbook on Semidefinite Programming , pp. 139-162
    • Ben-Tal, A.1    El Ghaoui, L.2    Nemirovski, A.3
  • 2
    • 0347242385 scopus 로고    scopus 로고
    • Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications
    • SIAM, Philadelphia
    • A. BEN-TAL AND A. NEMIROVSKI, Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications, MPS SIAM Ser. Optim. 2, SIAM, Philadelphia, 2001.
    • (2001) MPS SIAM Ser. Optim. , vol.2
    • Ben-Tal, A.1    Nemirovski, A.2
  • 3
    • 0036353423 scopus 로고    scopus 로고
    • On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty
    • A. BEN-TAL AND A. NEMIROVSKI, On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty, SIAM J. Optim., 12 (2002), pp. 811-833.
    • (2002) SIAM J. Optim. , vol.12 , pp. 811-833
    • Ben-Tal, A.1    Nemirovski, A.2
  • 5
    • 0031536271 scopus 로고    scopus 로고
    • Robust solutions to least-squares problems with uncertain data
    • L. EL GHAOUI, H. LEBRET, Robust solutions to least-squares problems with uncertain data, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 1035-1064.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 1035-1064
    • El Ghaoui, L.1    Lebret, H.2
  • 6
    • 0032252302 scopus 로고    scopus 로고
    • Robust solutions to uncertain semidefinite programs
    • L. EL GHAOUI, F. OUSTRY, H. LEBRET, Robust solutions to uncertain semidefinite programs, SIAM J. Optim., 9 (1998), pp. 33-52.
    • (1998) SIAM J. Optim. , vol.9 , pp. 33-52
    • El Ghaoui, L.1    Oustry, F.2    Lebret, H.3
  • 7
    • 0027798081 scopus 로고
    • Several NP-hard problems arising in robust stability analysis
    • A. NEMIROVSKI, Several NP-hard problems arising in robust stability analysis, Math. Control Signal Systems, 6 (1993), pp. 99-105.
    • (1993) Math. Control Signal Systems , vol.6 , pp. 99-105
    • Nemirovski, A.1
  • 9
    • 34250464350 scopus 로고
    • Dissipative dynamical systems, part I: General theory
    • J. C. WILLEMS, Dissipative dynamical systems, part I: General theory, Arch. Rational Mech. Anal., 45 (1971), pp. 321-351.
    • (1971) Arch. Rational Mech. Anal. , vol.45 , pp. 321-351
    • Willems, J.C.1
  • 10
    • 9144224584 scopus 로고
    • Dissipative dynamical systems, part II; Linear systems with quadratic supply rates
    • J. C. WILLEMS, Dissipative dynamical systems, part II; Linear systems with quadratic supply rates, Arch. Ration. Mech. Anal., 45 (1971), pp. 352-393.
    • (1971) Arch. Ration. Mech. Anal. , vol.45 , pp. 352-393
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.