메뉴 건너뛰기




Volumn 38, Issue 1, 2005, Pages 406-411

Stability switches and reversals of linear systems with commensurate delays: A matrix pencil characterization

Author keywords

Asymptotic stability; Delay; Matrix pencil; Reversal; Switch

Indexed keywords

ASYMPTOTIC STABILITY; DELAY CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR SYSTEMS; MATRIX ALGEBRA; SWITCHES;

EID: 79960727753     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.00638     Document Type: Conference Paper
Times cited : (6)

References (22)
  • 2
    • 0036373967 scopus 로고    scopus 로고
    • Geometric stability switch criteria in delay differential systems with delay dependent parameters
    • Beretta, E. and Kuang, Y. (2002). Geometric stability switch criteria in delay differential systems with delay dependent parameters. SIAM J. Math. Anal. 33 1144-1165.
    • (2002) SIAM J. Math. Anal. , vol.33 , pp. 1144-1165
    • Beretta, E.1    Kuang, Y.2
  • 3
    • 0010351336 scopus 로고    scopus 로고
    • Stability with respect to the delay: On the paper of K.L. Cooke and P. Van den Driessche
    • Boese, F.G. (1998). Stability with respect to the delay: On the paper of K.L. Cooke and P. van den Driessche. J. Math. Anal.Appl., 228 293-321.
    • (1998) J. Math. Anal. Appl. , vol.228 , pp. 293-321
    • Boese, F.G.1
  • 4
    • 0029378753 scopus 로고
    • A new method for computing delay margins for stability of linear delay systems
    • Chen, J., Gu, C. and Nett, C. N. (1995). A new method for computing delay margins for stability of linear delay systems, Syst. & Contr. Lett. 26 101-117.
    • (1995) Syst. & Contr. Lett. , vol.26 , pp. 101-117
    • Chen, J.1    Gu, C.2    Nett, C.N.3
  • 5
    • 0000209631 scopus 로고
    • Discrete delay, distributed delay and stability switches
    • Cooke, K. L. and Grossman, Z. (1982). Discrete delay, distributed delay and stability switches. J. Math. Anal. Appl. 86 (1982) 592-627.
    • (1982) J. Math. Anal. Appl. , vol.86 , Issue.1982 , pp. 592-627
    • Cooke, K.L.1    Grossman, Z.2
  • 6
  • 7
    • 0000226236 scopus 로고
    • A procedure for determination of the exponential stability of certain differential-difference equations
    • Datko, R. (1978). A procedure for determination of the exponential stability of certain differential-difference equations. Quart. Appl. Math. 36 279-292.
    • (1978) Quart. Appl. Math. , vol.36 , pp. 279-292
    • Datko, R.1
  • 10
    • 0021137891 scopus 로고
    • Simplified analytical stability test for systems with commensurate time delays
    • Hertz, D., Jury, E. I. and Zeheb, E. (1984). Simplified analytical stability test for systems with commensurate time delays. in IEE Proc. Contr. Theory & Appl., Pt. D 131 52-56.
    • (1984) IEE Proc. Contr. Theory & Appl. , vol.131 , Issue.PART D , pp. 52-56
    • Hertz, D.1    Jury, E.I.2    Zeheb, E.3
  • 11
    • 0019068509 scopus 로고
    • On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
    • Kamen, E. W. (1980). On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations. IEEE Trans. Automat. Contr., AC-25 983-984.
    • (1980) IEEE Trans. Automat. Contr. , vol.AC-25 , pp. 983-984
    • Kamen, E.W.1
  • 12
    • 0020113073 scopus 로고
    • Linear systems with commensurate time delays: Stability and stabilization independent of delay
    • corrections in IEEE Trans. Automat. Contr., AC-28 (1983) 248-249
    • Kamen, E. W. (1982). Linear systems with commensurate time delays: Stability and stabilization independent of delay. IEEE Trans. Automat. Contr., AC-27 367-375
    • (1982) IEEE Trans. Automat. Contr. , vol.AC-27 , pp. 367-375
    • Kamen, E.W.1
  • 13
    • 84939391858 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, corrections in IEEE Trans. Automat. Contr., AC-28 (1983) 248-249.
    • (1983) IEEE Trans. Automat. Contr. , vol.AC-28 , pp. 248-249
    • Kamen, E.W.1
  • 14
    • 0037249524 scopus 로고    scopus 로고
    • On the stability of linear systems with uncertain delay
    • Kharitonov, V.L., and Niculescu, S.-I. (2003). On the stability of linear systems with uncertain delay. IEEE Trans. Automat. Contr. 48 127-132.
    • (2003) IEEE Trans. Automat. Contr. , vol.48 , pp. 127-132
    • Kharitonov, V.L.1    Niculescu, S.-I.2
  • 16
    • 0001514357 scopus 로고
    • D-subdivisions and spaces of quasi-polynomials
    • Neimark, J. (1949). D-subdivisions and spaces of quasi-polynomials. Prikl. Math. Mech., 13 349-380.
    • (1949) Prikl. Math. Mech. , vol.13 , pp. 349-380
    • Neimark, J.1
  • 17
    • 0032314279 scopus 로고    scopus 로고
    • Stability and hyperbolicity of linear systems with delayed state: A matrix pencil approach
    • Niculescu, S.-I. (1998). Stability and hyperbolicity of linear systems with delayed state: A matrix pencil approach. IMA J. Math. Contr. Information 15 331-347.
    • (1998) IMA J. Math. Contr. Information , vol.15 , pp. 331-347
    • Niculescu, S.-I.1
  • 19
    • 0036576491 scopus 로고    scopus 로고
    • An exact method for the stability analysis of time-delayed LTI systems
    • Olgac, N. and Sipahi, R. (2002). An exact method for the stability analysis of time-delayed LTI systems, IEEE Transactions on Automatic Control, 47 793-797.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , pp. 793-797
    • Olgac, N.1    Sipahi, R.2
  • 20
    • 0009617924 scopus 로고
    • A stability test for systems with delays
    • San Francisco
    • Rekasius, Z. V. (1980). A stability test for systems with delays. Proc. 1980 Joint Automatic Contr. Conf., San Francisco, CL TP9-A.
    • (1980) Proc. 1980 Joint Automatic Contr. Conf. , vol.CLTP9-A
    • Rekasius, Z.V.1
  • 21
    • 0008144734 scopus 로고
    • An analytical stability test for a class of time-delay systems
    • Thowsen, A. (1981). An analytical stability test for a class of time-delay systems. IEEE Trans. Automat. Contr. AC-25 735-736.
    • (1981) IEEE Trans. Automat. Contr. , vol.AC-25 , pp. 735-736
    • Thowsen, A.1
  • 22
    • 0023313636 scopus 로고
    • Direct method for TDS stability analysis
    • Walton, K. and Marshall, J. E. (1987). Direct Method for TDS Stability Analysis, IEE Proceedings, 134, Pt. D:2 101-107.
    • (1987) IEE Proceedings , vol.134 , Issue.2 PART D , pp. 101-107
    • Walton, K.1    Marshall, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.