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Volumn 1, Issue , 2006, Pages 243-247

Dilated LMI characterization and a new stability criterion for polytopic uncertain systems

Author keywords

Dilated linear matrix inequality; Duality; Linear uncertain systems; Stability; Sums of squares

Indexed keywords

CONTROL SYSTEM STABILITY; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; THEOREM PROVING;

EID: 34047237952     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WCICA.2006.1712309     Document Type: Conference Paper
Times cited : (11)

References (33)
  • 2
    • 0001615805 scopus 로고    scopus 로고
    • Stability tests for constrained linear systems
    • Perspectives in Robust Control S. O. R. Moheimani, ed, of, Springer-Verlag
    • M. C. de Oliveira and R. E. Skelton, "Stability tests for constrained linear systems," in Perspectives in Robust Control (S. O. R. Moheimani, ed.), vol. 268 of Lecture Notes in Control and Information Sciences, pp. 241-257, Springer-Verlag, 2001.
    • (2001) Lecture Notes in Control and Information Sciences , vol.268 , pp. 241-257
    • de Oliveira, M.C.1    Skelton, R.E.2
  • 4
    • 23944524655 scopus 로고    scopus 로고
    • Homogeneous polynomial Lyapunov functions for piecewise affine systems
    • Jun
    • J. Xu and L. Xie, "Homogeneous polynomial Lyapunov functions for piecewise affine systems," in American Control Conference, pp. 581 - 586, Jun 2005.
    • (2005) American Control Conference , pp. 581-586
    • Xu, J.1    Xie, L.2
  • 5
    • 0038372478 scopus 로고    scopus 로고
    • Homogeneous Lyapunov functions for system with structure uncertainties
    • Jun
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Homogeneous Lyapunov functions for system with structure uncertainties," Automitica, vol. 39, pp. 1027-1035, Jun 2003.
    • (2003) Automitica , vol.39 , pp. 1027-1035
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 6
    • 14244260544 scopus 로고    scopus 로고
    • Dissipativity for dual linear differential inclusions through conjugate storage functions
    • Dec
    • R. Goebel, A. Teel, T. Hu, and Z. Lin, "Dissipativity for dual linear differential inclusions through conjugate storage functions," in Conference on Decision and Control, vol. 3, pp. 2700 - 2705, Dec 2004.
    • (2004) Conference on Decision and Control , vol.3 , pp. 2700-2705
    • Goebel, R.1    Teel, A.2    Hu, T.3    Lin, Z.4
  • 7
    • 0034916151 scopus 로고    scopus 로고
    • A dual to lyapunov's stability theorem
    • A. Rantzer, "A dual to lyapunov's stability theorem," Systems and Control Letters, vol. 42, pp. 161-168, 2001.
    • (2001) Systems and Control Letters , vol.42 , pp. 161-168
    • Rantzer, A.1
  • 8
    • 33645847854 scopus 로고    scopus 로고
    • Conjugate convex lyapunov functions for dual linear differential inclusions, IEEE Trans. on Automatic Control, vol
    • to appear
    • R. Goebel, A. R. Teel, T. Hu, and Z. Lin, "Conjugate convex lyapunov functions for dual linear differential inclusions," IEEE Trans. on Automatic Control, vol. to appear, 2005.
    • (2005)
    • Goebel, R.1    Teel, A.R.2    Hu, T.3    Lin, Z.4
  • 9
    • 0033453037 scopus 로고    scopus 로고
    • LMI characterization of structural and robust stability: The discrete-time case
    • M. C. de Oliveira, J. C. Geromel, and L. Hsu, "LMI characterization of structural and robust stability: the discrete-time case," Linear Algebra and its Application, vol. 296, pp. 27-38, 1999.
    • (1999) Linear Algebra and its Application , vol.296 , pp. 27-38
    • de Oliveira, M.C.1    Geromel, J.C.2    Hsu, L.3
  • 10
    • 1642310326 scopus 로고    scopus 로고
    • 2 and Hoc filtering for uncertain discrete-time systems
    • 2 and Hoc filtering for uncertain discrete-time systems," Automatica, vol. 40, pp. 873-880, 2004.
    • (2004) Automatica , vol.40 , pp. 873-880
    • Xie, L.1    Lu, L.2    Zhang, H.3    Zhang, D.4
  • 11
    • 0037096509 scopus 로고    scopus 로고
    • 2 and Hoc norm characterizations and controller parametrizations for discretetime systems
    • 2 and Hoc norm characterizations and controller parametrizations for discretetime systems," International Journal of Control, vol. 75, no. 9, pp. 666-679, 2002.
    • (2002) International Journal of Control , vol.75 , Issue.9 , pp. 666-679
    • Oliveira, M.C.D.1    Geromel, J.C.2    Bernussou, J.3
  • 12
    • 26244437994 scopus 로고    scopus 로고
    • An improved mixed h2/h-infinity control design for hard disk drives, IEEE Trans. Control Systems Technology, vol
    • accepted for publication
    • C. Du, L. Xie, J. Teoh, and G. Guo, "An improved mixed h2/h-infinity control design for hard disk drives," IEEE Trans. Control Systems Technology, vol. accepted for publication, 2005.
    • (2005)
    • Du, C.1    Xie, L.2    Teoh, J.3    Guo, G.4
  • 13
    • 34047203883 scopus 로고    scopus 로고
    • Mixed h2 and h-infinity filtering for discrete-time systems with polytopic slow time-varying parameters, IEEE Trans. Signal Processing, vol
    • accepted for publication
    • H. Gao, J. Lam, L. Xie, and C. Wang, "Mixed h2 and h-infinity filtering for discrete-time systems with polytopic slow time-varying parameters," IEEE Trans. Signal Processing, vol. accepted for publication, 2005.
    • (2005)
    • Gao, H.1    Lam, J.2    Xie, L.3    Wang, C.4
  • 15
    • 4444250394 scopus 로고    scopus 로고
    • New dilated LMI characterizations for continuous-time multiobjective controller synthesis
    • Y. Ebihara and T. Hagiwara, "New dilated LMI characterizations for continuous-time multiobjective controller synthesis," Automatica, vol. 40, p. 2003 C 2009, 2004.
    • (2004) Automatica , vol.40
    • Ebihara, Y.1    Hagiwara, T.2
  • 16
    • 24944436642 scopus 로고    scopus 로고
    • Adilated LMI approach to robust performance analysis of linear time-invariant uncertain systems
    • Y. Ebihara and T. Hagiwara, "Adilated LMI approach to robust performance analysis of linear time-invariant uncertain systems," Automatica, 2005.
    • (2005) Automatica
    • Ebihara, Y.1    Hagiwara, T.2
  • 17
    • 0035308188 scopus 로고    scopus 로고
    • Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty
    • Apr
    • U. Shaked, "Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty," IEEE Trans. on Automatic Control, vol. 46, pp. 652-656, Apr 2001.
    • (2001) IEEE Trans. on Automatic Control , vol.46 , pp. 652-656
    • Shaked, U.1
  • 18
    • 0041380807 scopus 로고    scopus 로고
    • Alternative proofs for improved LMI representations for the analysis and the design of continuous-time systems withpolytopic type uncertainty: A predictive approach
    • Aug
    • Y. Jia, "Alternative proofs for improved LMI representations for the analysis and the design of continuous-time systems withpolytopic type uncertainty: A predictive approach," IEEE Trans. on Automatic Control, vol. 48, pp. 1413-1416, Aug 2003.
    • (2003) IEEE Trans. on Automatic Control , vol.48 , pp. 1413-1416
    • Jia, Y.1
  • 19
    • 0142185954 scopus 로고    scopus 로고
    • Improved LMI representations for bounded real criterion of systems with polytopic type uncertainty
    • Denver, Colorado, pp, Jun
    • T. Li and Y. Jia, "Improved LMI representations for bounded real criterion of systems with polytopic type uncertainty," in American Control Conference, (Denver, Colorado), pp. 851-856, Jun 2003.
    • (2003) American Control Conference , pp. 851-856
    • Li, T.1    Jia, Y.2
  • 22
    • 0035707405 scopus 로고    scopus 로고
    • 2 synthesis with enhanced linear matrix inequalities (LMI) characterizations
    • 2 synthesis with enhanced linear matrix inequalities (LMI) characterizations," IEEE Trans. on Automatic Control, vol. 45, no. 12, pp. 1941-1946, 2001.
    • (2001) IEEE Trans. on Automatic Control , vol.45 , Issue.12 , pp. 1941-1946
    • Apkarian, P.1    Tuan, H.D.2    Bernussou, J.3
  • 23
    • 16244403065 scopus 로고    scopus 로고
    • 2 estimation of continuous-time piecewise linear systems, in the 5th Asian Control Conference, IEEE, Jul 2004.
    • 2 estimation of continuous-time piecewise linear systems," in the 5th Asian Control Conference, IEEE, Jul 2004.
  • 24
    • 21244436060 scopus 로고    scopus 로고
    • Stability of polytopes of matrices via affine parameter-dependent lyapunov functions: Asympototically exact LMI conditions
    • R. C. L. F. Oliveira and P. L. D. Peres, "Stability of polytopes of matrices via affine parameter-dependent lyapunov functions: asympototically exact LMI conditions," Linear Algebra and its Applications, vol. 405, pp. 209-228, 2005.
    • (2005) Linear Algebra and its Applications , vol.405 , pp. 209-228
    • Oliveira, R.C.L.F.1    Peres, P.L.D.2
  • 25
    • 0035418163 scopus 로고    scopus 로고
    • Bi-quadratic stability of uncertain linear systems
    • A. Trofino and C. E. de Souza, "Bi-quadratic stability of uncertain linear systems," IEEE Trans. on Automatic Control, vol. 46, no. 8, pp. 1303-1307, 2001.
    • (2001) IEEE Trans. on Automatic Control , vol.46 , Issue.8 , pp. 1303-1307
    • Trofino, A.1    de Souza, C.E.2
  • 26
    • 0032625112 scopus 로고    scopus 로고
    • A converse lyapunov theorem for a class of dynamical systems which undergo switching
    • Apr
    • W. Dayawansa and C. Martin, "A converse lyapunov theorem for a class of dynamical systems which undergo switching," IEEE Trans. on Automatic Control, vol. 44, pp. 751 - 760, Apr 1999.
    • (1999) IEEE Trans. on Automatic Control , vol.44 , pp. 751-760
    • Dayawansa, W.1    Martin, C.2
  • 27
    • 79960732029 scopus 로고    scopus 로고
    • ∞ estimation of discrete-time piecewise linear systems
    • Prague, Czech, Jul
    • ∞ estimation of discrete-time piecewise linear systems," in IFAC World Congress, (Prague, Czech), Jul 2005.
    • (2005) IFAC World Congress
    • Xu, J.1    Xie, L.2
  • 29
    • 0000871389 scopus 로고
    • Lie algebra and lie groups in control theory
    • D. Q. Mayne and R. W. Brockett, eds, pp, Dordrecht, Reidel
    • R. W. Brockett, "Lie algebra and lie groups in control theory," in Geometric Method in Systems Theory (D. Q. Mayne and R. W. Brockett, eds.), pp. 43-82, Dordrecht, Reidel, 1973.
    • (1973) Geometric Method in Systems Theory , pp. 43-82
    • Brockett, R.W.1
  • 30
    • 0028282375 scopus 로고
    • Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
    • A. L. Zelentsovosky, "Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems," IEEE Trans. on Automatic Control, vol. 39, pp. 135-138, 1994.
    • (1994) IEEE Trans. on Automatic Control , vol.39 , pp. 135-138
    • Zelentsovosky, A.L.1
  • 31
    • 34047223668 scopus 로고    scopus 로고
    • Matrix representation of polynomials: Theory and applications,
    • master thesis, University of California, Berkeley, May
    • Z. W. Jarvis-Wloszek, "Matrix representation of polynomials: Theory and applications," master thesis, University of California, Berkeley, May 2001.
    • (2001)
    • Jarvis-Wloszek, Z.W.1
  • 32
    • 79960729240 scopus 로고    scopus 로고
    • ∞ state feedback control of discrete-time piecewise affine systems
    • Congress, Prague, Czech, Jul
    • ∞ state feedback control of discrete-time piecewise affine systems," in IFAC World Congress, (Prague, Czech), Jul 2005.
    • (2005) IFAC World
    • Xu, J.1    Xie, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.