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Volumn 5, Issue , 2003, Pages 4664-4669

Exploiting structure in sum of squares programs

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN ALGEBRA; COMPUTATIONAL METHODS; CONSTRAINT THEORY; LYAPUNOV METHODS; OPTIMIZATION; POLYNOMIALS;

EID: 1542320213     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1272305     Document Type: Conference Paper
Times cited : (16)

References (22)
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    • B. D. O. Anderson, N. K. Bose, and E. I. Jury. Output feedback stabilization and related problems - solution via decision methods. IEEE Transactions on Automatic Control, 20:53-66, 1975.
    • (1975) IEEE Transactions on Automatic Control , vol.20 , pp. 53-66
    • Anderson, B.D.O.1    Bose, N.K.2    Jury, E.I.3
  • 6
    • 0031211750 scopus 로고    scopus 로고
    • Robust multi-objective feedback design by quantifier elimination
    • P. Dorato, W. Yang, and C. Abdallah. Robust multi-objective feedback design by quantifier elimination. J. Symbolic Computation, 24:153-159, 1997.
    • (1997) J. Symbolic Computation , vol.24 , pp. 153-159
    • Dorato, P.1    Yang, W.2    Abdallah, C.3
  • 10
    • 0031208954 scopus 로고    scopus 로고
    • Nonlinear control system design by quantifier elimination
    • M. Jirstrand. Nonlinear control system design by quantifier elimination. J. Symbolic Computation, 24:137-152, 1997.
    • (1997) J. Symbolic Computation , vol.24 , pp. 137-152
    • Jirstrand, M.1
  • 11
    • 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 J. Optim., 11(3):796-817, 2001.
    • (2001) SIAM J. Optim. , vol.11 , Issue.3 , pp. 796-817
    • Lasserre, J.B.1
  • 14
    • 0001776805 scopus 로고    scopus 로고
    • Squared functional systems and optimization problems
    • J. Frenk, C. Roos, T. Terlaky, and S. Zhang, editors. Kluwer Academic Publishers
    • Y. Nesterov. Squared functional systems and optimization problems. In J. Frenk, C. Roos, T. Terlaky, and S. Zhang, editors, High Performance Optimization, pages 405-440. Kluwer Academic Publishers, 2000.
    • (2000) High Performance Optimization , pp. 405-440
    • Nesterov, Y.1
  • 16
    • 1542296013 scopus 로고    scopus 로고
    • An explicit construction of distinguished representations of polynomials nonnegative over finite sets
    • Technical Report, ETH Zürich
    • P. A. Parrilo. An explicit construction of distinguished representations of polynomials nonnegative over finite sets. Technical Report IfA Technical Report AUT02-02. Available from http://www.aut.ee.ethz.ch/~parrilo, ETH Zürich, 2002.
    • (2002) IfA Technical Report , vol.AUT02-02
    • Parrilo, P.A.1
  • 17
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • P. A. Parrilo. Semidefinite programming relaxations for semialgebraic problems. Mathematical Programming Ser. B, 96(2):293-320, 2003.
    • (2003) Mathematical Programming Ser. B , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 20
    • 84972566433 scopus 로고
    • Extremal PSD forms with few terms
    • B. Reznick. Extremal PSD forms with few terms. Duke Mathematical Journal, 45(2):363-374, 1978.
    • (1978) Duke Mathematical Journal , vol.45 , Issue.2 , pp. 363-374
    • Reznick, B.1
  • 21
    • 0000604097 scopus 로고
    • Class of global minimum bounds of polynomial functions
    • Russian orig.: Kibernetika, No. 6, (1987), 9-11
    • N. Z. Shor. Class of global minimum bounds of polynomial functions. Cybernetics, 23(6):731-734, 1987. (Russian orig.: Kibernetika, No. 6, (1987), 9-11).
    • (1987) Cybernetics , vol.23 , Issue.6 , pp. 731-734
    • Shor, N.Z.1
  • 22
    • 0030287556 scopus 로고    scopus 로고
    • On the stability domain estimation via a quadratic Lyapunov function: Convexity and optimality properties for polynomial systems
    • A. Tesi, F. Villoresi, and R. Genesio. On the stability domain estimation via a quadratic Lyapunov function: convexity and optimality properties for polynomial systems. IEEE Transactions on Automatic Control, 41(11):1650-1657, 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.11 , pp. 1650-1657
    • Tesi, A.1    Villoresi, F.2    Genesio, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.