메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages 3828-3830

Robust stability of LTI discrete-time systems using sum-of-squares matrix polynomials

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING; POLYNOMIALS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

EID: 33751200280     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2006.1657315     Document Type: Conference Paper
Times cited : (8)

References (9)
  • 1
    • 0034925745 scopus 로고    scopus 로고
    • A less conservative LMI condition for the robust stability of discrete-time uncertain systems
    • Aug
    • D. C. W. Ramos and P. L. D. Peres, "A less conservative LMI condition for the robust stability of discrete-time uncertain systems," Sys. Contr. Lett., vol. 43, no. 5, pp. 371-378, Aug. 2001.
    • (2001) Sys. Contr. Lett , vol.43 , Issue.5 , pp. 371-378
    • Ramos, D.C.W.1    Peres, P.L.D.2
  • 2
    • 24944500782 scopus 로고    scopus 로고
    • A class of robust stability conditions where linear parameter dependence of the Lyapunov function is a necessary condition for arbitrary parameter dependence
    • Nov
    • M. C. de Oliveira and J. C. Geromel, "A class of robust stability conditions where linear parameter dependence of the Lyapunov function is a necessary condition for arbitrary parameter dependence," Sys. Contr. Lett., vol. 54, no. 11, pp. 1131-1134, Nov. 2005.
    • (2005) Sys. Contr. Lett , vol.54 , Issue.11 , pp. 1131-1134
    • de Oliveira, M.C.1    Geromel, J.C.2
  • 3
    • 0030106702 scopus 로고    scopus 로고
    • Affine parameter-dependent Lyapunov functions and real parametric uncertainty
    • Mar
    • P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions and real parametric uncertainty," IEEE Trans. Automat. Contr., vol. 41, no. 3, pp. 436-442, Mar. 1996.
    • (1996) IEEE Trans. Automat. Contr , vol.41 , Issue.3 , pp. 436-442
    • Gahinet, P.1    Apkarian, P.2    Chilali, M.3
  • 4
    • 0035418163 scopus 로고    scopus 로고
    • Biquadratic stability of uncertain linear systems
    • Aug
    • A. Trofino and C. E. de Souza, "Biquadratic stability of uncertain linear systems," IEEE Trans. Automat. Contr., vol. 46, no. 8, pp. 1303-1307, Aug. 2001.
    • (2001) IEEE Trans. Automat. Contr , vol.46 , Issue.8 , pp. 1303-1307
    • Trofino, A.1    de Souza, C.E.2
  • 5
    • 0034915492 scopus 로고    scopus 로고
    • Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties
    • Aug
    • J. Daafouz and J. Bernussou, "Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties," Sys. Contr. Lett., vol. 43, no. 5, pp. 355-359, Aug. 2001.
    • (2001) Sys. Contr. Lett , vol.43 , Issue.5 , pp. 355-359
    • Daafouz, J.1    Bernussou, J.2
  • 6
    • 33644666304 scopus 로고    scopus 로고
    • Matrix sum-of-squares relaxations for robust semi-definite programs
    • Jun
    • C. W. Scherer and C. W. J. Hol, "Matrix sum-of-squares relaxations for robust semi-definite programs," Mathematical Programming Series B., vol. 107, no. 1-2, pp. 189-211, Jun. 2006.
    • (2006) Mathematical Programming Series B , vol.107 , Issue.1-2 , pp. 189-211
    • Scherer, C.W.1    Hol, C.W.J.2
  • 7
    • 1042300599 scopus 로고    scopus 로고
    • An existence result for polynomial solutions of parameter-dependent LMIs
    • Mar
    • P. A. Bliman, "An existence result for polynomial solutions of parameter-dependent LMIs," Sys. Contr. Lett., vol. 51, no. 3-4, pp. 165-169, Mar. 2004.
    • (2004) Sys. Contr. Lett , vol.51 , Issue.3-4 , pp. 165-169
    • Bliman, P.A.1
  • 8
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • L. Vandenberghe and S. Boyd, "Semidefinite programming," SIAM Rev., vol. 38, no. 1, pp. 49-95, 1996.
    • (1996) SIAM Rev , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 9
    • 2542587541 scopus 로고    scopus 로고
    • GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi
    • D. Henrion and J. B. Lasserre, "GloptiPoly: global optimization over polynomials with Matlab and SeDuMi," ACM Trans. Math. Soft., vol. 29, no. 2, pp. 165-194, 2003.
    • (2003) ACM Trans. Math. Soft , vol.29 , Issue.2 , pp. 165-194
    • Henrion, D.1    Lasserre, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.