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Volumn 5, Issue , 2005, Pages 3433-3434

Minimax polynomial optimization by using sum of squares relaxation and its application to robust stability analysis of parameter-dependent systems

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

EID: 23944521530     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (9)

References (13)
  • 1
    • 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. of Optimization, vol. 11, pp. 796-817, 2001.
    • (2001) SIAM J. of Optimization , vol.11 , pp. 796-817
    • Lasserre, J.B.1
  • 2
    • 33645438739 scopus 로고    scopus 로고
    • Generalized lagrangian duals and sums of squares relaxation of square polynomial optimization problems
    • Tokyo Instituite of Technology
    • S. Kim, M. Kojima, and H. Waki, "Generalized lagrangian duals and sums of squares relaxation of square polynomial optimization problems," Tokyo Instituite of Technology, Tech. Rep. B-395, 2003.
    • (2003) Tech. Rep. , vol.B-395
    • Kim, S.1    Kojima, M.2    Waki, H.3
  • 3
    • 33645432892 scopus 로고    scopus 로고
    • Ph.D. dissertation, California Institute of Technology, Pasadena, CA, may
    • P. Parrilo, Ph.D. dissertation, California Institute of Technology, Pasadena, CA, may 2000.
    • (2000)
    • Parrilo, P.1
  • 4
    • 0842274717 scopus 로고    scopus 로고
    • Semidefinite programming relaxation and algebraic optimization in control
    • P. A. Parrilo and S. Lall, "Semidefinite programming relaxation and algebraic optimization in control," European Journal of Control, vol. 9, pp. 307-321, 2003.
    • (2003) European Journal of Control , vol.9 , pp. 307-321
    • Parrilo, P.A.1    Lall, S.2
  • 5
    • 1542380049 scopus 로고    scopus 로고
    • Robust stability of polytopic systems via polynomially parameter-dependent lyapunov functions
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Robust stability of polytopic systems via polynomially parameter-dependent lyapunov functions, " in 42th Conference on Decision and Control, Proc., 2003, pp. 4670-4681.
    • (2003) 42th Conference on Decision and Control, Proc. , pp. 4670-4681
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 6
    • 9644290119 scopus 로고    scopus 로고
    • A convex approach to robust stability for linear systems with uncertain scalar parameters
    • P. A. Bliman, "A convex approach to robust stability for linear systems with uncertain scalar parameters," SIAM J. Control Optimization, vol. 42, pp. 2016-2042, 2004.
    • (2004) SIAM J. Control Optimization , vol.42 , pp. 2016-2042
    • Bliman, P.A.1
  • 9
    • 0001250675 scopus 로고
    • The K-moment problem for compact semi-algebraic sets
    • K. Schmüdgen, "The K-moment problem for compact semi-algebraic sets," Mathematische Annalen, vol. 289, pp. 203-206, 1991.
    • (1991) Mathematische Annalen , vol.289 , pp. 203-206
    • Schmüdgen, K.1
  • 10
    • 0030162881 scopus 로고    scopus 로고
    • Complexity estimates for the schmüdgen positivstellensatz
    • G. Stengel, "Complexity estimates for the schmüdgen positivstellensatz," J. Complexity, vol. 12, pp. 167-174, 1996.
    • (1996) J. Complexity , vol.12 , pp. 167-174
    • Stengel, G.1
  • 11
    • 0030106702 scopus 로고    scopus 로고
    • Affine parameter-dependent lyapunov functions parametric uncertainty
    • P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent lyapunov functions parametric uncertainty," IEEE Trans. Automat. Contr., vol. 41, pp. 436-442, 1996.
    • (1996) IEEE Trans. Automat. Contr. , vol.41 , pp. 436-442
    • Gahinet, P.1    Apkarian, P.2    Chilali, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.