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Volumn 200, Issue 2, 2008, Pages 517-528

Application of semi-definite programming to robust stability of delay systems

Author keywords

Asymptotic stability; Delay systems; Delay dependent stability; Linear matrix inequalities; Linear systems; Robust stability; Semi definite programming

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; OPTIMIZATION; PROBLEM SOLVING; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

EID: 44649138146     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.11.044     Document Type: Article
Times cited : (4)

References (17)
  • 1
    • 0036475710 scopus 로고    scopus 로고
    • Lyapunov equation for the stability of linear delay systems of retarded and neutral type
    • Bliman P.-A. Lyapunov equation for the stability of linear delay systems of retarded and neutral type. IEEE Trans. Automat. Control 47 2 (2002) 327-335
    • (2002) IEEE Trans. Automat. Control , vol.47 , Issue.2 , pp. 327-335
    • Bliman, P.-A.1
  • 2
    • 33750199896 scopus 로고    scopus 로고
    • From Lyapunov-Krasovskii functionals for delay-independent stability to LMI conditions for μ-analysis
    • Advances in Time-Delay Systems. Niculescu S.-I., and Gu K. (Eds), Springer
    • Bliman P.-A. From Lyapunov-Krasovskii functionals for delay-independent stability to LMI conditions for μ-analysis. In: Niculescu S.-I., and Gu K. (Eds). Advances in Time-Delay Systems. Lecture Notes in Computational Science and Engineering vol. 38 (2004), Springer 75-88
    • (2004) Lecture Notes in Computational Science and Engineering , vol.38 , pp. 75-88
    • Bliman, P.-A.1
  • 3
    • 1042300599 scopus 로고    scopus 로고
    • An existence result for polynomial solutions of parameter-dependent LMIs
    • Bliman P.-A. An existence result for polynomial solutions of parameter-dependent LMIs. Syst. Control Lett. 51 3-4 (2004) 165-169
    • (2004) Syst. Control Lett. , vol.51 , Issue.3-4 , pp. 165-169
    • Bliman, P.-A.1
  • 4
    • 0029378753 scopus 로고
    • A new method for computing delay margins for stability of linear delay systems
    • Chen J., Gu G., and Nett C.N. A new method for computing delay margins for stability of linear delay systems. Syst. Control Lett. 26 (1995) 101-117
    • (1995) Syst. Control Lett. , vol.26 , pp. 101-117
    • Chen, J.1    Gu, G.2    Nett, C.N.3
  • 7
    • 84947465919 scopus 로고    scopus 로고
    • R. Gunawan, E.L. Russell, R.D. Braatz, Robustness analysis of multivariable systems with time delays, in: Proceedings of the European Control Conference, Porto, Portugal, 2001, pp. 1882-1887.
    • R. Gunawan, E.L. Russell, R.D. Braatz, Robustness analysis of multivariable systems with time delays, in: Proceedings of the European Control Conference, Porto, Portugal, 2001, pp. 1882-1887.
  • 8
    • 0343358890 scopus 로고
    • Springer Verlag, New York
    • Hale J.K. Theory of Functional Differential Equations. Applied Mathematical Sciences vol. 3 (1977), Springer Verlag, New York
    • (1977) Applied Mathematical Sciences , vol.3
    • Hale, J.K.1
  • 9
    • 0036858519 scopus 로고    scopus 로고
    • On the Lyapunov theorem for singular systems
    • Ishihara J.-Y., and Terra M.-H. On the Lyapunov theorem for singular systems. IEEE Trans. Automat. Control 47 11 (2002) 1926-1930
    • (2002) IEEE Trans. Automat. Control , vol.47 , Issue.11 , pp. 1926-1930
    • Ishihara, J.-Y.1    Terra, M.-H.2
  • 10
    • 12944249246 scopus 로고    scopus 로고
    • Generalized KYP lemma: unified frequency domain inequalities with design applications
    • Iwasaki T., and Hara S. Generalized KYP lemma: unified frequency domain inequalities with design applications. IEEE Trans. Automat. Control 50 1 (2005) 41-59
    • (2005) IEEE Trans. Automat. Control , vol.50 , Issue.1 , pp. 41-59
    • Iwasaki, T.1    Hara, S.2
  • 11
    • 18444403141 scopus 로고    scopus 로고
    • Time domain interpretations of frequency domain inequalities on (semi)finite ranges
    • Iwasaki T., Hara S., and Fradkov A.L. Time domain interpretations of frequency domain inequalities on (semi)finite ranges. Syst. Control Lett. 54 7 (2005) 681-691
    • (2005) Syst. Control Lett. , vol.54 , Issue.7 , pp. 681-691
    • Iwasaki, T.1    Hara, S.2    Fradkov, A.L.3
  • 12
    • 0035977496 scopus 로고    scopus 로고
    • IQC robustness analysis for time-delay systems
    • Jun M., and Safonov M.G. IQC robustness analysis for time-delay systems. Int. J. Robust Nonlinear Control 11 (2001) 1455-1468
    • (2001) Int. J. Robust Nonlinear Control , vol.11 , pp. 1455-1468
    • Jun, M.1    Safonov, M.G.2
  • 13
    • 0019068509 scopus 로고
    • On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
    • Kamen E.W. On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations. IEEE Trans. Automat. Control 25 5 (1980) 983-984
    • (1980) IEEE Trans. Automat. Control , vol.25 , Issue.5 , pp. 983-984
    • Kamen, E.W.1
  • 14
    • 0020113073 scopus 로고
    • Linear systems with commensurate time delays: stability and stabilization independent of delay
    • Kamen E.W. Linear systems with commensurate time delays: stability and stabilization independent of delay. IEEE Trans. Automat. Control 27 2 (1982) 367-375
    • (1982) IEEE Trans. Automat. Control , vol.27 , Issue.2 , pp. 367-375
    • Kamen, E.W.1
  • 15
    • 0032314279 scopus 로고    scopus 로고
    • Stability and hyperbolicity of linear systems with delayed state: a matrix pencil approach
    • Niculescu S.-I. Stability and hyperbolicity of linear systems with delayed state: a matrix pencil approach. IMA J. Math. Contr. Information 15 (1998) 331-347
    • (1998) IMA J. Math. Contr. Information , vol.15 , pp. 331-347
    • Niculescu, S.-I.1
  • 17
    • 0142027787 scopus 로고    scopus 로고
    • New results for the analysis of linear systems with time-invariant delays
    • Zhang J., Knospe C.R., and Tsiotras P. New results for the analysis of linear systems with time-invariant delays. Int. J. Robust Nonlinear Control 13 12 (2003) 1149-1175
    • (2003) Int. J. Robust Nonlinear Control , vol.13 , Issue.12 , pp. 1149-1175
    • Zhang, J.1    Knospe, C.R.2    Tsiotras, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.