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Volumn , Issue , 2007, Pages 6021-6026

Robust absolute stability and stabilization based on homogeneous polynomially parameter-dependent Lur'e functions

Author keywords

[No Author keywords available]

Indexed keywords

DIMENSIONAL STABILITY; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATRIX ALGEBRA; NONLINEAR SYSTEMS; OPTICAL BISTABILITY; SOLUTIONS; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

EID: 46449127086     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4282458     Document Type: Conference Paper
Times cited : (4)

References (27)
  • 1
    • 0004178386 scopus 로고    scopus 로고
    • Upper Saddle River, NJ: Prentice Hall
    • H. K. Khalil, Nonlinear Systems. Upper Saddle River, NJ: Prentice Hall, 1996.
    • (1996) Nonlinear Systems
    • Khalil, H.K.1
  • 3
    • 0030284518 scopus 로고    scopus 로고
    • Asymptotic stability of continuoustime systems with saturation nonlinearities
    • F. Albertini and D. D'Alessandro, "Asymptotic stability of continuoustime systems with saturation nonlinearities," Systems & Control Letters, vol. 29, no. 3, pp. 175-180, 1996.
    • (1996) Systems & Control Letters , vol.29 , Issue.3 , pp. 175-180
    • Albertini, F.1    D'Alessandro, D.2
  • 5
    • 0036836976 scopus 로고    scopus 로고
    • Absolute stability criteria with prescribed decay rate for finite-dimensional and delay systems
    • November
    • P.-A. Bliman, "Absolute stability criteria with prescribed decay rate for finite-dimensional and delay systems," Automatica, vol. 38, no. 11, pp. 2015-2019, November 2002.
    • (2002) Automatica , vol.38 , Issue.11 , pp. 2015-2019
    • Bliman, P.-A.1
  • 8
    • 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://sedumi.mcmaster.ca/.
    • (1999) Optimization Methods and Software , vol.11-12 , pp. 625-653
    • Sturm, J.F.1
  • 9
  • 10
    • 0001328414 scopus 로고
    • On the absolute stability of nonlinear controlled systems
    • V.-M. Popov, "On the absolute stability of nonlinear controlled systems," Avtomatika i telemekhanika, vol. 8, pp. 961-970, 1961.
    • (1961) Avtomatika i telemekhanika , vol.8 , pp. 961-970
    • Popov, V.-M.1
  • 11
    • 0015206454 scopus 로고
    • Least squares stationary optimal control and algebraic Riccati equation
    • December
    • J. C. Willems, "Least squares stationary optimal control and algebraic Riccati equation," IEEE Transactions on Automatic Control, vol. AC-16, no. 6, pp. 621-634, December 1971.
    • (1971) IEEE Transactions on Automatic Control , vol.AC-16 , Issue.6 , pp. 621-634
    • Willems, J.C.1
  • 12
    • 0030106702 scopus 로고    scopus 로고
    • Affine parameter-dependent Lyapunov functions and real parametric uncertainty
    • March
    • P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions and real parametric uncertainty," IEEE Transactions on Automatic Control, vol. 41, no. 3, pp. 436-442, March 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.3 , pp. 436-442
    • Gahinet, P.1    Apkarian, P.2    Chilali, M.3
  • 13
    • 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," Linear Algebra and Its Applications, vol. 285, no. 1-3, pp. 69-80, December 1998.
    • (1998) Linear Algebra and Its Applications , vol.285 , Issue.1-3 , pp. 69-80
    • Geromel, J.C.1    de Oliveira, M.C.2    Hsu, L.3
  • 14
    • 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," Systems & Control Letters, vol. 40, no. 1, pp. 21-30, May 2000.
    • (2000) Systems & Control Letters , vol.40 , Issue.1 , pp. 21-30
    • Peaucelle, D.1    Arzelier, D.2    Bachelier, O.3    Bernussou, J.4
  • 15
    • 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 Transactions on Automatic Control, vol. 47, no. 4, pp. 675-678, April 2002.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.4 , pp. 675-678
    • Ramos, D.C.W.1    Peres, P.L.D.2
  • 16
    • 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
  • 17
    • 1042300599 scopus 로고    scopus 로고
    • An existence result for polynomial solutions of parameter-dependent LMIs
    • March
    • P.-A. Bliman, "An existence result for polynomial solutions of parameter-dependent LMIs," Systems & Control Letters, vol. 51, no. 3-4, pp. 165-169, March 2004.
    • (2004) Systems & Control Letters , vol.51 , Issue.3-4 , pp. 165-169
    • Bliman, P.-A.1
  • 18
    • 16244419436 scopus 로고    scopus 로고
    • Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: An LMI approach
    • March
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: An LMI approach," IEEE Transactions on Automatic Control, vol. 50, no. 3, pp. 365-370, March 2005.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.3 , pp. 365-370
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 19
    • 28444472732 scopus 로고    scopus 로고
    • LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions
    • January
    • R. C. L. F. Oliveira and P. L. D. Peres, "LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions," Systems & Control Letters, vol. 55, no. 1, pp. 52-61, January 2006.
    • (2006) Systems & Control Letters , vol.55 , Issue.1 , pp. 52-61
    • Oliveira, R.C.L.F.1    Peres, P.L.D.2
  • 21
    • 33644666304 scopus 로고    scopus 로고
    • Matrix sum-of-squares relaxations for robust semi-definite programs
    • June
    • 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, June 2006.
    • (2006) Mathematical Programming Series B , vol.107 , Issue.1-2 , pp. 189-211
    • Scherer, C.W.1    Hol, C.W.J.2
  • 23
    • 33646254843 scopus 로고    scopus 로고
    • Relaxations for robust linear matrix inequality problems with verifications for exactness
    • C. W. Scherer, "Relaxations for robust linear matrix inequality problems with verifications for exactness," SIAM Journal on Matrix Analysis and Applications, vol. 27, no. 2, pp. 365-395, 2005.
    • (2005) SIAM Journal on Matrix Analysis and Applications , vol.27 , Issue.2 , pp. 365-395
    • Scherer, C.W.1
  • 24
    • 21244436060 scopus 로고    scopus 로고
    • Stability of polytopes of matrices via affine parameter-dependent Lyapunov functions: Asymptotically exact LMI conditions
    • August
    • R. C. L. F. Oliveira and P. L. D. Peres, "Stability of polytopes of matrices via affine parameter-dependent Lyapunov functions: Asymptotically exact LMI conditions," Linear Algebra and Its Applications, vol. 405, pp. 209-228, August 2005.
    • (2005) Linear Algebra and Its Applications , vol.405 , pp. 209-228
    • Oliveira, R.C.L.F.1    Peres, P.L.D.2
  • 25
    • 0036901125 scopus 로고    scopus 로고
    • A new absolute stability test for systems with state-dependent pertubations
    • December
    • M. C. de Oliveira, J. C. Geromel, and L. Hsu, "A new absolute stability test for systems with state-dependent pertubations," International Journal of Robust and Nonlinear Control, vol. 12, no. 14, pp. 1209-1226, December 2002.
    • (2002) International Journal of Robust and Nonlinear Control , vol.12 , Issue.14 , pp. 1209-1226
    • de Oliveira, M.C.1    Geromel, J.C.2    Hsu, L.3
  • 26
    • 85128549687 scopus 로고    scopus 로고
    • P.-A. Bliman, R. C. L. F. Oliveira, V. F. Montagner, and P. L. D. Peres, Existence of homogeneous polynomial solutions for parameter-dependent linear matrix inequalities with parameters in the simplex, in Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, December 2006, pp. 1486-1491.
    • P.-A. Bliman, R. C. L. F. Oliveira, V. F. Montagner, and P. L. D. Peres, "Existence of homogeneous polynomial solutions for parameter-dependent linear matrix inequalities with parameters in the simplex," in Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, December 2006, pp. 1486-1491.
  • 27
    • 33847234668 scopus 로고    scopus 로고
    • R. C. L. F. Oliveira and P. L. D. Peres, LMI conditions for the existence of polynomially parameter-dependent Lyapunov functions assuring robust stability, in Proceedings of the 44th IEEE Conference on Decision and Control - European Control Conference ECC 2005, Seville, Spain, December 2005, pp. 1660-1665.
    • R. C. L. F. Oliveira and P. L. D. Peres, "LMI conditions for the existence of polynomially parameter-dependent Lyapunov functions assuring robust stability," in Proceedings of the 44th IEEE Conference on Decision and Control - European Control Conference ECC 2005, Seville, Spain, December 2005, pp. 1660-1665.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.