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Volumn 2006, Issue , 2006, Pages 3001-3006

Algorithmic search for contraction metrics via SOS programming

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; LINEAR PROGRAMMING; OPTIMIZATION; PARAMETER ESTIMATION; SYSTEM STABILITY;

EID: 34047214963     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (9)

References (16)
  • 1
    • 0032094219 scopus 로고    scopus 로고
    • On contraction analysis for nonlinear systems
    • W. Lohmiller and J. J. E. Slotine, "On contraction analysis for nonlinear systems," Automatica, vol. 34, pp. 683-696, 1998.
    • (1998) Automatica , vol.34 , pp. 683-696
    • Lohmiller, W.1    Slotine, J.J.E.2
  • 2
    • 12344327544 scopus 로고    scopus 로고
    • On partial contraction analysis for coupled nonlinear oscillators
    • W. Wang and J. J. Slotine, "On partial contraction analysis for coupled nonlinear oscillators," Biological Cybernetics, vol. 92, no. 1, 2005.
    • (2005) Biological Cybernetics , vol.92 , Issue.1
    • Wang, W.1    Slotine, J.J.2
  • 4
    • 0003406070 scopus 로고    scopus 로고
    • Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization,
    • Ph.D. dissertation, California Institute of Technology, May, available at
    • P. A. Parrilo, "Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization," Ph.D. dissertation, California Institute of Technology, May 2000, available at www.cds.caltech.edu/ ~pablo/.
    • (2000)
    • Parrilo, P.A.1
  • 6
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • Math. Prog
    • P. A. Parrilo, "Semidefinite programming relaxations for semialgebraic problems," Math. Prog., vol. 96, no. 2, Ser. B, pp. 293-320, 2003.
    • (2003) Ser. B , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 7
    • 2942659750 scopus 로고    scopus 로고
    • Symmetry groups, Semidefinite programs, and sums of squares
    • K. Gatermann and P. A. Parrilo, "Symmetry groups, Semidefinite programs, and sums of squares," J. Pure Appl. Algebra, vol. 192, no. 1-3, pp. 95-128, 2004.
    • (2004) J. Pure Appl. Algebra , vol.192 , Issue.1-3 , pp. 95-128
    • Gatermann, K.1    Parrilo, P.A.2
  • 8
    • 33947504945 scopus 로고    scopus 로고
    • ∞-synthesis
    • Positive polynomials in control, Lecture Notes in Control and Inform. Sci. Springer
    • ∞-synthesis," in Positive polynomials in control, ser. Lecture Notes in Control and Inform. Sci. Springer, 2005, vol. 312, pp. 45-71.
    • (2005) ser , vol.312 , pp. 45-71
    • Hol, C.W.J.1    Scherer, C.W.2
  • 9
    • 34047204756 scopus 로고    scopus 로고
    • M. Kojima, Sums of squares relaxations of polynomial Semidefinite programs, 2003, research report B-397, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology.
    • M. Kojima, "Sums of squares relaxations of polynomial Semidefinite programs," 2003, research report B-397, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology.
  • 10
    • 34047233898 scopus 로고    scopus 로고
    • Robustness of equilibria in nonlinear systems
    • Beijing, P.R. China
    • L. Andersson and A. Rantzer, "Robustness of equilibria in nonlinear systems," in Preprints 14th World Congress of IFAC, vol. E, Beijing, P.R. China, 1999, pp. 129-134.
    • (1999) Preprints 14th World Congress of IFAC , vol.E , pp. 129-134
    • Andersson, L.1    Rantzer, A.2
  • 12
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, aMATLAB toolbox for optimization over symmetric cones
    • J. F. Sturm, "Using SeDuMi 1.02, aMATLAB toolbox for optimization over symmetric cones," Optim. Methods Softw., vol. 11/12, no. 1-4, pp. 625-653, 1999.
    • (1999) Optim. Methods Softw , vol.11-12 , Issue.1-4 , pp. 625-653
    • Sturm, J.F.1
  • 16
    • 34047202698 scopus 로고    scopus 로고
    • Stability and robustness analysis of nonlinear systems via contraction metrics and sos programming
    • To be published
    • E. M. Aylward, P. A. Parrilo, and J. J. Slotine, "Stability and robustness analysis of nonlinear systems via contraction metrics and sos programming," To be published.
    • Aylward, E.M.1    Parrilo, P.A.2    Slotine, J.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.