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Volumn 2006, Issue , 2006, Pages 117-122

Computing the domain of attraction for polynomial systems via BMI optimization method

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR ALGEBRA; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; OPTIMIZATION;

EID: 34047236597     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (35)

References (17)
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  • 3
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    • On the estimation of asymptotic stability regions: State of the art and new proposals
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  • 4
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    • Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments
    • Las Vegas, USA
    • O. Hachicho and B. Tibken, "Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments", Proceedings of the IEEE Conference on Decision and Control, Las Vegas, USA, 2002, pp. 3150-3155.
    • (2002) Proceedings of the IEEE Conference on Decision and Control , pp. 3150-3155
    • Hachicho, O.1    Tibken, B.2
  • 6
    • 0001570715 scopus 로고
    • Construction of the attraction region by Zubov's method
    • N. E. Kirin, R. A. Nelepin and V. N. Baidaev, "Construction of the attraction region by Zubov's method", Differential Equations, Vol. 17, 1982, pp. 871-880.
    • (1982) Differential Equations , vol.17 , pp. 871-880
    • Kirin, N.E.1    Nelepin, R.A.2    Baidaev, V.N.3
  • 7
    • 34047220978 scopus 로고    scopus 로고
    • M. Kocvara and M. Stingl, http://www-neos.mcs.anl.gov/neos/solvers/ sdp:peribmi/MATLAB.html.
    • Kocvara, M.1    Stingl, M.2
  • 8
    • 0003406070 scopus 로고    scopus 로고
    • Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization
    • Ph. D. Thesis at California Institute of Technology Pasadena, California
    • P. A. Parrilo, "Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization", Ph. D. Thesis at California Institute of Technology Pasadena, California, 2000.
    • (2000)
    • Parrilo, P.A.1
  • 9
    • 0034542734 scopus 로고    scopus 로고
    • On a decomposition of multivariable forms via LMI methods
    • Chicago, Illinois
    • P. A. Parrilo, "On a decomposition of multivariable forms via LMI methods", Proceedings of the American Control Conference, Chicago, Illinois, 2000, pp. 322-326.
    • (2000) Proceedings of the American Control Conference , pp. 322-326
    • Parrilo, P.A.1
  • 10
    • 0842274717 scopus 로고    scopus 로고
    • Semidefinite Programming relaxations and algebraic optimization in control
    • P. A. Parrilo and S. Lall, "Semidefinite Programming relaxations and algebraic optimization in control", European Journal of Control, vol. 9, 2003, pp. 307-321.
    • (2003) European Journal of Control , vol.9 , pp. 307-321
    • Parrilo, P.A.1    Lall, S.2
  • 11
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    • Semidefinite programming relaxations for semialgebraic problems
    • P. A. Parrilo, "Semidefinite programming relaxations for semialgebraic problems", Mathematical Programming Ser. B, Vol. 96, No. 2, 2003, pp. 293-320.
    • (2003) Mathematical Programming Ser. B , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 12
    • 0032064831 scopus 로고    scopus 로고
    • An algorithm for sum of squares of real polynomials
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    • Powers, V.1    Wörmann, T.2
  • 14
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    • Estimation of the domain of attraction for polynomial systems via LMI's
    • Sydney, Australien
    • B. Tibken, "Estimation of the domain of attraction for polynomial systems via LMI's", Proceedings of the IEEE Conference on Decision and Control, Sydney, Australien, 2000, pp. 3860-3864.
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    • Tibken, B.1
  • 15
  • 16
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    • November
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    • (2000) IEEE Transactions on Automatic Control , vol.45 , Issue.11 , pp. 2111-2117
    • Tuan, H.D.1    Apkarain, P.2
  • 17
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    • V. I. Zubov, "Questions of the theory of Lyapunov's second method: Construction of the general solution in the region of asymptotical stability", Prikl. Mat. Meh., Vol. 19, 1995, pp. 179-210.
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    • Zubov, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.