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Volumn 2, Issue , 2005, Pages 640-649

Polynomial level-set methods for nonlinear dynamical systems analysis

Author keywords

Domain of attraction; Level set methods; Semi definite programming

Indexed keywords


EID: 84962076535     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (20)

References (13)
  • 1
    • 0015125878 scopus 로고
    • A computational method for determining quadratic Lyapunov functions for non-linear systems
    • E. J. Davision and E. M. Kurak. A computational method for determining quadratic Lyapunov functions for non-linear systems. Automatica, 7:627-636, 1971.
    • (1971) Automatica , vol.7 , pp. 627-636
    • Davision, E.J.1    Kurak, E.M.2
  • 4
    • 0004178386 scopus 로고    scopus 로고
    • Prentice-Hall Inc., third edition
    • H. Khalil. Nonlinear systems. Prentice-Hall Inc., third edition, 2000.
    • (2000) Nonlinear Systems
    • Khalil, H.1
  • 6
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • J. B. Lasserre. Global optimization with polynomials and the problem of moments. SIAM Journal on Opti-mization, 11(3):796-817, 2001.
    • (2001) SIAM Journal on Opti-mization , vol.11 , Issue.3 , pp. 796-817
    • Lasserre, J.B.1
  • 7
    • 0028712047 scopus 로고
    • An analytical method of estimating the domain of attraction for polynomial differential equations
    • A. Levin. An analytical method of estimating the domain of attraction for polynomial differential equations. IEEE Transactions on Automatic Control, 39(12):2471-2475, 1994.
    • (1994) IEEE Transactions on Automatic Control , vol.39 , Issue.12 , pp. 2471-2475
    • Levin, A.1
  • 8
    • 84974725120 scopus 로고    scopus 로고
    • Level set methods for computation in hybrid systems
    • Springer, Verlag
    • I. M. Mitchell and C. J. Tomlin. Level set methods for computation in hybrid systems. In Hybrid Systems: Computation and Control, LNCS 1790, pages 310-323. Springer Verlag, 2000.
    • (2000) Hybrid Systems: Computation and Control, LNCS , vol.1790 , pp. 310-323
    • Mitchell, I.M.1    Tomlin, C.J.2
  • 12
    • 0842274717 scopus 로고    scopus 로고
    • Semidefinite programming relaxations and algebraic optimization in control
    • April
    • P. A. Parrilo and S. Lall. Semidefinite programming relaxations and algebraic optimization in control. European Journal of Control, 9(2-3):307-321, April 2003.
    • (2003) European Journal of Control , vol.9 , Issue.2-3 , pp. 307-321
    • Parrilo, P.A.1    Lall, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.