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Volumn 312, Issue , 2005, Pages 23-43

Analysis of non-polynomial systems using the sum of squares decomposition

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY;

EID: 33947510894     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/10997703_2     Document Type: Article
Times cited : (146)

References (18)
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    • K. G. Murty and S. N. Kabadi (1987). Some NP-complete problems in quadratic and nonlinear programming. Mathematical Programming, 39:117-129.
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    • A. Papachristodoulou and S. Prajna (2002). On the construction of Lyapunov functions using the sum of squares decomposition. Proc. IEEE Conf. on Decision and Control.
    • A. Papachristodoulou and S. Prajna (2002). On the construction of Lyapunov functions using the sum of squares decomposition. Proc. IEEE Conf. on Decision and Control.
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    • Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, Caltech, Pasadena, CA. Available at
    • P. A. Parrilo (2000). Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, Caltech, Pasadena, CA. Available at www.control.ethz.ch/~parrilo/pubs/index.html.
    • (2000)
    • Parrilo, P.A.1
  • 12
    • 0036990890 scopus 로고    scopus 로고
    • S. Prajna, A. Papachristodoulou, and P. A. Parrilo (2002). Introducing SOSTOOLS: A general purpose sum of squares programming solver. Proc. IEEE Conf. on Decision and Control. Available at www.cds.caltech.edu/sostools and www.aut.ee.ethz.ch/~parrilo/sostools.
    • S. Prajna, A. Papachristodoulou, and P. A. Parrilo (2002). Introducing SOSTOOLS: A general purpose sum of squares programming solver. Proc. IEEE Conf. on Decision and Control. Available at www.cds.caltech.edu/sostools and www.aut.ee.ethz.ch/~parrilo/sostools.
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    • Some concrete aspects of Hilbert's 17th problem
    • AMS
    • B. Reznick (2000). Some concrete aspects of Hilbert's 17th problem. Contemporary Mathematics, 253:251-272, AMS.
    • (2000) Contemporary Mathematics , vol.253 , pp. 251-272
    • Reznick, B.1
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    • Recasting nonlinear differential equations as S-systems: A canonical nonlinear form
    • M. A. Savageau and E. O. Voit (1987). Recasting nonlinear differential equations as S-systems: a canonical nonlinear form. Mathematical Biosciences, 87(1):83-115.
    • (1987) Mathematical Biosciences , vol.87 , Issue.1 , pp. 83-115
    • Savageau, M.A.1    Voit, E.O.2
  • 15
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • Available at
    • J. F. Sturm (1999). Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, 11-12:625-653. Available at fewcal.kub.nl/sturm/software/sedumi.html.
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    • Semidefinite programming
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    • (1996) SIAM Review , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 17
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    • Vestnik Leningrad University, English translation
    • V. A. Yakubovich (1977). S-procedure in nonlinear control theory. Vestnik Leningrad University, 4(1):73-93. English translation.
    • (1977) S-procedure in nonlinear control theory , vol.4 , Issue.1 , pp. 73-93
    • Yakubovich, V.A.1
  • 18
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    • V. Zubov (1964). Methods of A.M. Lyapunov and Their Application. P. Noordhoff Ltd, Groningen, The Netherlands.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.