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Volumn 4, Issue , 2004, Pages 4095-4100

Parameter-dependent homogeneous Lyapunov functions for robust stability of linear time-varying systems

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; PARAMETER ESTIMATION; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); TIME VARYING SYSTEMS; UNCERTAIN SYSTEMS; VECTORS;

EID: 14244252485     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1429393     Document Type: Conference Paper
Times cited : (22)

References (24)
  • 3
    • 0017007748 scopus 로고
    • Regulators for linear time invariant plants with uncertain parameters
    • H. P. Horisberger and P. R. Belanger, "Regulators for linear time invariant plants with uncertain parameters," IEEE Trans. on Automatic Control, vol. 21, pp. 705-708, 1976.
    • (1976) IEEE Trans. on Automatic Control , vol.21 , pp. 705-708
    • Horisberger, H.P.1    Belanger, P.R.2
  • 4
    • 0018453090 scopus 로고
    • Stability of dynamical systems: A constructive approach
    • R. K. Brayton and C. H. Tong, "Stability of dynamical systems: a constructive approach," IEEE Trans. on Circuits and Systems, vol. 26, pp. 224-234, 1979.
    • (1979) IEEE Trans. on Circuits and Systems , vol.26 , pp. 224-234
    • Brayton, R.K.1    Tong, C.H.2
  • 5
    • 0001740827 scopus 로고
    • Lyapunov functions specifying necessary and sufficient conditions of absolute stability of nonlinear nonstationary control system
    • (part I), (II), (III)
    • A. P. Molchanov and E. S. Piatnitskiy, "Lyapunov functions specifying necessary and sufficient conditions of absolute stability of nonlinear nonstationary control system," Automat. Remote Contr., vol. 47, pp. 344-354 (part I), 443-451 (II), 620-630 (III), 1986.
    • (1986) Automat. Remote Contr. , vol.47 , pp. 344-354
    • Molchanov, A.P.1    Piatnitskiy, E.S.2
  • 6
    • 0029266878 scopus 로고
    • Nonquadratic Lyapunov functions for robust control
    • F. Blanchini, "Nonquadratic Lyapunov functions for robust control," Automatica, vol. 31, pp. 451-461, 1995.
    • (1995) Automatica , vol.31 , pp. 451-461
    • Blanchini, F.1
  • 7
    • 0001360697 scopus 로고    scopus 로고
    • Piecewise Lyapunov functions for robust stability of linear time-varying systems
    • L. Xie, S. Shishkin, and M. Fu, "Piecewise Lyapunov functions for robust stability of linear time-varying systems," Systems and Control Letters, vol. 31, pp. 165-171, 1997.
    • (1997) Systems and Control Letters , vol.31 , pp. 165-171
    • Xie, L.1    Shishkin, S.2    Fu, M.3
  • 8
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic Lyapunov functions for hybrid systems
    • M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems," IEEE Trans. on Automatic Control, vol. 43, pp. 555-559, 1998.
    • (1998) IEEE Trans. on Automatic Control , vol.43 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 9
    • 0035871455 scopus 로고    scopus 로고
    • A team algorithm for robust stability analysis and control design of uncertain time-varying linear systems using piecewise quadratics Lyapunov functions
    • H. L. S. Almeida, A. Bhaya, D. M. Falcao, and E. Kaszkurewicz, "A team algorithm for robust stability analysis and control design of uncertain time-varying linear systems using piecewise quadratics Lyapunov functions," Int. Journal of Robust and Nonlinear Control, vol. 11, pp. 357-371, 2001.
    • (2001) Int. Journal of Robust and Nonlinear Control , vol.11 , pp. 357-371
    • Almeida, H.L.S.1    Bhaya, A.2    Falcao, D.M.3    Kaszkurewicz, E.4
  • 10
    • 0028282375 scopus 로고
    • Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
    • A. L. Zelentsovsky, "Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems," IEEE Trans. on Automatic Control, vol. 39, no. 1, pp. 135-138, 1994.
    • (1994) IEEE Trans. on Automatic Control , vol.39 , Issue.1 , pp. 135-138
    • Zelentsovsky, A.L.1
  • 11
    • 0038372478 scopus 로고    scopus 로고
    • Homogeneous Lyapunov functions for systems with structured uncertainties
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Homogeneous Lyapunov functions for systems with structured uncertainties," Automatica, vol. 39, no. 6, pp. 1027-1035, 2003.
    • (2003) Automatica , vol.39 , Issue.6 , pp. 1027-1035
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 13
    • 0028377254 scopus 로고
    • Lyapunov functions for uncertain systems with applications to the stability of time varying systems
    • S. Dasgupta, G. Chockalingam, B. D. O. Anderson, and M. Fu, "Lyapunov functions for uncertain systems with applications to the stability of time varying systems," IEEE Trans. on Automatic Control, vol. 41, pp. 93-106, 1994.
    • (1994) IEEE Trans. on Automatic Control , vol.41 , pp. 93-106
    • Dasgupta, S.1    Chockalingam, G.2    Anderson, B.D.O.3    Fu, M.4
  • 14
    • 0033308137 scopus 로고    scopus 로고
    • Parameter dependent Lyapunov functions for a class of uncertain linear systems: A LMI approach
    • Phoenix, Arizona
    • A. Trofino, "Parameter dependent Lyapunov functions for a class of uncertain linear systems: a LMI approach," in Proc. of 38th IEEE Conf. on Decision and Control, Phoenix, Arizona, 1999, pp. 2341-2346.
    • (1999) Proc. of 38th IEEE Conf. on Decision and Control , pp. 2341-2346
    • Trofino, A.1
  • 16
    • 0036993458 scopus 로고    scopus 로고
    • Nonconservative LMI approach to robust stability for systems with uncertain scalar parameters
    • Las Vegas, Nevada
    • P.-A. Bliman, "Nonconservative LMI approach to robust stability for systems with uncertain scalar parameters," in Proc. of 41st IEEE Conf. on Decision and Control, Las Vegas, Nevada, 2002, pp. 305-310.
    • (2002) Proc. of 41st IEEE Conf. on Decision and Control , pp. 305-310
    • Bliman, P.-A.1
  • 17
    • 0037353008 scopus 로고    scopus 로고
    • An improved LMI condition for robust Instability of uncertain polytopic systems
    • V. J. S. Leite and P. L. D. Peres, "An improved LMI condition for robust Instability of uncertain polytopic systems," IEEE Trans. on Automatic Control, vol. 48, no. 3, pp. 500-504, 2003.
    • (2003) IEEE Trans. on Automatic Control , vol.48 , Issue.3 , pp. 500-504
    • Leite, V.J.S.1    Peres, P.L.D.2
  • 18
    • 1542380049 scopus 로고    scopus 로고
    • Robust stability for polytopic systems via polynomially parameter-dependent Lyapunov functions
    • Maui, Hawaii
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Robust stability for polytopic systems via polynomially parameter-dependent Lyapunov functions," in Proc. of 42nd IEEE Conf. on Decision and Control, Maui, Hawaii, 2003, pp. 4670-4675.
    • (2003) Proc. of 42nd IEEE Conf. on Decision and Control , pp. 4670-4675
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 19
    • 0030106702 scopus 로고    scopus 로고
    • Affine parameter-dependent Lyapunov functions and real parametric uncertainty
    • P. Cabinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions and real parametric uncertainty," IEEE Trans. on Automatic Control, vol. 41, no. 3, pp. 436-442, 1996.
    • (1996) IEEE Trans. on Automatic Control , vol.41 , Issue.3 , pp. 436-442
    • Cabinet, P.1    Apkarian, P.2    Chilali, M.3
  • 20
    • 1542288237 scopus 로고    scopus 로고
    • A new LMI condition for the robust stability of linear time-varying systems
    • Maui, Hawaii
    • V. F. Montagner and P. L. D. Peres, "A new LMI condition for the robust stability of linear time-varying systems," in Proc. of 42nd IEEE Conf. on Decision and Control, Maui, Hawaii, 2003, pp. 6133-6138.
    • (2003) Proc. of 42nd IEEE Conf. on Decision and Control , pp. 6133-6138
    • Montagner, V.F.1    Peres, P.L.D.2
  • 23
    • 0037291895 scopus 로고    scopus 로고
    • Solving quadratic distance problems: An LMI-based approach
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Solving quadratic distance problems: an LMI-based approach," IEEE Trans. on Automatic Control, vol. 48, no. 2, pp. 200-212, 2003.
    • (2003) IEEE Trans. on Automatic Control , vol.48 , Issue.2 , pp. 200-212
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 24
    • 14244260544 scopus 로고    scopus 로고
    • Dissipativity for dual linear differential inclusions through conjugate storage functions
    • to appear
    • R. Goebel, A. R. Teel, T. Hu, and Z. Lin, "Dissipativity for Dual Linear Differential Inclusions through Conjugate Storage Functions," to appear in Proc. of 43rd IEEE Conf. on Decision and Control, 2004.
    • (2004) Proc. of 43rd IEEE Conf. on Decision and Control
    • Goebel, R.1    Teel, A.R.2    Hu, T.3    Lin, Z.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.