메뉴 건너뛰기




Volumn 2005, Issue , 2005, Pages 5024-5029

An LMI characterization of polynomial parameter-dependent Lyapunov functions for robust stability

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; PARAMETER ESTIMATION; POLYNOMIAL APPROXIMATION; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

EID: 33847227670     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582958     Document Type: Conference Paper
Times cited : (19)

References (20)
  • 1
    • 0022111023 scopus 로고
    • Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
    • August
    • B. R. Barmish, "Necessary and sufficient conditions for quadratic stabilizability of an uncertain system," Journal of Optimization Theory and Applications, vol. 46, no. 4, pp. 399-408, August 1985.
    • (1985) Journal of Optimization Theory and Applications , vol.46 , Issue.4 , pp. 399-408
    • Barmish, B.R.1
  • 4
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • URL
    • J. F. Sturm, "Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones," Optimization Methods and Software, vol. 11-12, pp. 625-653, 1999, URL: http://fewcal.kub.nl/sturm/software/sedumi.html.
    • (1999) Optimization Methods and Software , vol.11-12 , pp. 625-653
    • Sturm, J.F.1
  • 5
    • 0004992230 scopus 로고    scopus 로고
    • LMI characterization of structural and robust stability
    • December
    • J. C. Geromel, M. C. de Oliveira, and L. Hsu, "LMI characterization of structural and robust stability," Lin. Alg. Appl., vol. 285, no. 1-3, pp. 69-80, December 1998.
    • (1998) Lin. Alg. Appl , vol.285 , Issue.1-3 , pp. 69-80
    • Geromel, J.C.1    de Oliveira, M.C.2    Hsu, L.3
  • 6
    • 0036531228 scopus 로고    scopus 로고
    • An LMI condition for the robust stability of uncertain continuous-time linear systems
    • April
    • D. C. W. Ramos and P. L. D. Peres, "An LMI condition for the robust stability of uncertain continuous-time linear systems," IEEE Trans. Automat. Contr., vol. 47, no. 4, pp. 675-678, April 2002.
    • (2002) IEEE Trans. Automat. Contr , vol.47 , Issue.4 , pp. 675-678
    • Ramos, D.C.W.1    Peres, P.L.D.2
  • 7
    • 0002588085 scopus 로고    scopus 로고
    • A new robust D-stability condition for real convex polytopic uncertainty
    • May
    • D. Peaucelle, D. Arzelier, O. Bachelier, and J. Bernussou, "A new robust D-stability condition for real convex polytopic uncertainty," Syst. Contr. Lett., vol. 40, no. 1, pp. 21-30, May 2000.
    • (2000) Syst. Contr. Lett , vol.40 , Issue.1 , pp. 21-30
    • Peaucelle, D.1    Arzelier, D.2    Bachelier, O.3    Bernussou, J.4
  • 8
    • 0037353008 scopus 로고    scopus 로고
    • An improved LMI condition for robust D-stability of uncertain polytopic systems
    • March
    • V. J. S. Leite and P. L. D. Peres, "An improved LMI condition for robust D-stability of uncertain polytopic systems," IEEE Trans. Automat. Contr., vol. 48, no. 3, pp. 500-504, March 2003.
    • (2003) IEEE Trans. Automat. Contr , vol.48 , Issue.3 , pp. 500-504
    • Leite, V.J.S.1    Peres, P.L.D.2
  • 9
    • 4444250394 scopus 로고    scopus 로고
    • New dilated LMI characterizations for continuous-time multiobjective controller synthesis
    • November
    • Y. Ebihara and T. Hagiwara, "New dilated LMI characterizations for continuous-time multiobjective controller synthesis." Automatica, vol. 40, no. 11, pp. 2003-2009, November, 2004.
    • (2004) Automatica , vol.40 , Issue.11 , pp. 2003-2009
    • Ebihara, Y.1    Hagiwara, T.2
  • 10
    • 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. Optim., vol. 42. no. 6, pp. 2016-2042, 2004.
    • (2004) SIAM J. Control. Optim , vol.42 , Issue.6 , pp. 2016-2042
    • Bliman, P.-A.1
  • 11
    • 1542380049 scopus 로고    scopus 로고
    • Robust stability of polytopic systems via polynomially parameter-dependent Lyapunov functions
    • Maui, HI, USA, December
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Robust stability of polytopic systems via polynomially parameter-dependent Lyapunov functions," in Proc. 42nd IEEE Conf. Decision Contr., Maui, HI, USA, December 2003, pp. 4670-4675.
    • (2003) Proc. 42nd IEEE Conf. Decision Contr , pp. 4670-4675
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 12
    • 79960738380 scopus 로고    scopus 로고
    • Y. Ebihara, K. Maeda, and T. Hagiwara, Robust D-stability analysis of uncertain polynomial matrices via polynomial-type multipliers, in Proceedings of the 16th IFAC World Congress, Prague, CZ, July 2005.
    • Y. Ebihara, K. Maeda, and T. Hagiwara, "Robust D-stability analysis of uncertain polynomial matrices via polynomial-type multipliers", in Proceedings of the 16th IFAC World Congress, Prague, CZ, July 2005.
  • 13
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • February
    • J. B. Lasserre, "Global optimization with polynomials and the problem of moments," SIAM J. Control Optim., vol. 11, no. 3, pp. 796-817, February 2001.
    • (2001) SIAM J. Control Optim , vol.11 , Issue.3 , pp. 796-817
    • Lasserre, J.B.1
  • 14
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • P. A. Parrilo, "Semidefinite programming relaxations for semialgebraic problems." Mathematical Programming Ser. B, vol. 96, no. 2, pp. 293-320, 2003.
    • (2003) Mathematical Programming Ser. B , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 15
    • 1542350082 scopus 로고    scopus 로고
    • Robust analysis of linear systems affected by time-invariant parametric uncertainty
    • Maui, HI, USA, December
    • G. Chesi, "Robust analysis of linear systems affected by time-invariant parametric uncertainty," in Proc. 42nd IEEE Conf. Decision Contr., Maui, HI, USA, December 2003, pp. 5019-5024.
    • (2003) Proc. 42nd IEEE Conf. Decision Contr , pp. 5019-5024
    • Chesi, G.1
  • 16
    • 14344257458 scopus 로고    scopus 로고
    • On parameter-dependent Lyapunov functions for robust stability of linear systems
    • Paradise Island, Bahamas, December
    • D. Henrion, D. Arzelier, D. Peaucelle, and J. B. Lasserre, "On parameter-dependent Lyapunov functions for robust stability of linear systems," in Proc. 43rd IEEE Conf. Decision Contr., Paradise Island, Bahamas, December 2004, pp. 887-892.
    • (2004) Proc. 43rd IEEE Conf. Decision Contr , pp. 887-892
    • Henrion, D.1    Arzelier, D.2    Peaucelle, D.3    Lasserre, J.B.4
  • 17
    • 33847200199 scopus 로고    scopus 로고
    • Asymptotically exact relaxations for robust LMI problems based on matrix-valued sum-of-squares
    • Leuven, Belgium, July
    • C. W. Scherer and C. W. J. Hol, "Asymptotically exact relaxations for robust LMI problems based on matrix-valued sum-of-squares." In 16th Int. Symp. Math. Theory of Networks and Syst., Leuven, Belgium, July 2004.
    • (2004) 16th Int. Symp. Math. Theory of Networks and Syst
    • Scherer, C.W.1    Hol, C.W.J.2
  • 19
    • 0001615805 scopus 로고    scopus 로고
    • Stability tests for constrained linear systems
    • Perspectives in Robust Control, S. O. Reza Moheimani, Ed. New York: Springer-Verlag
    • M. C. de Oliveira and R. E. Skelton, "Stability tests for constrained linear systems," in Perspectives in Robust Control, ser. Lecture Notes in Control and Information Science, S. O. Reza Moheimani, Ed. New York: Springer-Verlag, 2001, vol. 268, pp. 241-257.
    • (2001) ser. Lecture Notes in Control and Information Science , vol.268 , pp. 241-257
    • de Oliveira, M.C.1    Skelton, R.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.