메뉴 건너뛰기




Volumn 37, Issue 3, 2001, Pages 239-351

Delay differential systems with time-varying delay: New directions for stability theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035648710     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (20)
  • 1
    • 0029378753 scopus 로고
    • A new method for computing delay margins for stability of linear delay systems
    • J. Chen, G. Gu, and C. N. Nett: A new method for computing delay margins for stability of linear delay systems. Systems Control Lett. 26 (1995), 107-117.
    • (1995) Systems Control Lett. , vol.26 , pp. 107-117
    • Chen, J.1    Gu, G.2    Nett, C.N.3
  • 2
    • 0000586734 scopus 로고
    • Linear functional differential equations of asymptotically autonomous type
    • K. L. Cooke: Linear functional differential equations of asymptotically autonomous type. J. Differential Equations 7 (1970), 154-174.
    • (1970) J. Differential Equations , vol.7 , pp. 154-174
    • Cooke, K.L.1
  • 3
    • 0002099636 scopus 로고
    • A survey of differential equations with piecewise continuous arguments
    • Delay Differential Equations and Dynamical Systems S. Busenberg and M. Martelli, eds., Springer-Verlag, Berlin-Heidelberg
    • K. L. Cooke and J. Wiener: A survey of differential equations with piecewise continuous arguments. In: Delay Differential Equations and Dynamical Systems (S. Busenberg and M. Martelli, eds., Lecture Notes in Mathematics 1475), Springer-Verlag, Berlin-Heidelberg 1991, pp. 1-15.
    • (1991) Lecture Notes in Mathematics , vol.1475 , pp. 1-15
    • Cooke, K.L.1    Wiener, J.2
  • 4
    • 0001787194 scopus 로고
    • Lyapunov functional for certain linear delay-differential equations in a Hubert space
    • R. Datko: Lyapunov functional for certain linear delay-differential equations in a Hubert space. J. Math. Anal. Appl. 76 (1980), 37-57.
    • (1980) J. Math. Anal. Appl. , vol.76 , pp. 37-57
    • Datko, R.1
  • 6
    • 0000348539 scopus 로고
    • A lyapunov functional for a matrix difference-differential equation
    • E. F. Infante and W. B. Castelan: A Lyapunov functional for a matrix difference-differential equation. J. Differential Equations 29 (1978), 439-451.
    • (1978) J. Differential Equations , vol.29 , pp. 439-451
    • Infante, E.F.1    Castelan, W.B.2
  • 7
    • 0027540173 scopus 로고
    • Robust stabilization of uncertain time delay systems via combined internal - External approach
    • A. Kojima, K. Uchida, and E. Shimemura: Robust stabilization of uncertain time delay systems via combined internal - external approach. IEEE Trans. Automat. Control 38 (1993), 373-378.
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 373-378
    • Kojima, A.1    Uchida, K.2    Shimemura, E.3
  • 9
    • 0007153845 scopus 로고    scopus 로고
    • Instability and quenching in delay systems having constant coefficients and time-varying delays
    • Submitted
    • J. Louisell: Instability and quenching in delay systems having constant coefficients and time-varying delays. J. Math. Anal. Appl. Submitted.
    • J. Math. Anal. Appl.
    • Louisell, J.1
  • 10
    • 0003281170 scopus 로고    scopus 로고
    • New examples of quenching in delay differential equations having time-varying delay
    • F 1023-1, Karlsruhe
    • J. Louisell: New examples of quenching in delay differential equations having time-varying delay. In: Proc. 5th European Control Conference, F 1023-1, Karlsruhe 1999.
    • (1999) Proc. 5th European Control Conference
    • Louisell, J.1
  • 11
    • 39549090968 scopus 로고    scopus 로고
    • Numerics of the stability exponent and eigenvalue abscissas of a matrix delay system
    • Stability and Control of Time-Delay Systems L. Dugard and E. I. Verriest, eds., Springer-Verlag, Berlin-Heidelberg-New York
    • J. Louisell: Numerics of the stability exponent and eigenvalue abscissas of a matrix delay system. In: Stability and Control of Time-Delay Systems (L. Dugard and E. I. Verriest, eds., Lecture Notes in Control and Information Sciences 228), Springer-Verlag, Berlin-Heidelberg-New York 1997, pp. 140-157.
    • (1997) Lecture Notes in Control and Information Sciences , vol.228 , pp. 140-157
    • Louisell, J.1
  • 12
    • 38249011238 scopus 로고
    • Growth estimates and asymptotic stability for a class of differential-delay equation having time-varying delay
    • J. Louisell: Growth estimates and asymptotic stability for a class of differential-delay equation having time-varying delay. J. Math. Anal. Appl. 164 (1992), 453-479.
    • (1992) J. Math. Anal. Appl. , vol.164 , pp. 453-479
    • Louisell, J.1
  • 13
    • 0000508879 scopus 로고
    • A stability analysis for a class of differential-delay equation having time-varying delay
    • Delay Differential Equations and Dynamical Systems S. Busenberg and M. Martelli, eds., Springer-Verlag, Berlin-Heidelberg
    • J. Louisell: A stability analysis for a class of differential-delay equation having time-varying delay. In: Delay Differential Equations and Dynamical Systems (S. Busenberg and M. Martelli, eds., Lecture Notes in Mathematics 1475), Springer-Verlag, Berlin-Heidelberg 1991, pp. 225-242.
    • (1991) Lecture Notes in Mathematics , vol.1475 , pp. 225-242
    • Louisell, J.1
  • 14
    • 84972583909 scopus 로고
    • Global stability criteria for differential systems
    • L. Markus and H. Yamabe: Global stability criteria for differential systems. Osaka J. Math. 12 (1960), 305-317.
    • (1960) Osaka J. Math. , vol.12 , pp. 305-317
    • Markus, L.1    Yamabe, H.2
  • 16
    • 0032314279 scopus 로고    scopus 로고
    • Stability and hyperbolicity of linear systems with delayed state: A matrix-pencil approach
    • S.-I. Niculescu: Stability and hyperbolicity of linear systems with delayed state: a matrix-pencil approach. IMA J. Math. Control Inform. 15 (1998), 331-347.
    • (1998) IMA J. Math. Control Inform. , vol.15 , pp. 331-347
    • Niculescu, S.-I.1
  • 18
    • 7444226617 scopus 로고
    • Quadratic liapunov functionals for systems with delays
    • I. M. Repin: Quadratic Liapunov functionals for systems with delays. Prikl. Mat. Mekh. 29 (1965), 564-566.
    • (1965) Prikl. Mat. Mekh. , vol.29 , pp. 564-566
    • Repin, I.M.1
  • 19
    • 0030785257 scopus 로고    scopus 로고
    • On the stability of uncertain systems with multiple time-varying delays
    • Y.-J. Sun, J.-G. Hsieh, and H.-C. Yang: On the stability of uncertain systems with multiple time-varying delays. IEEE Trans. Automat. Control 42 (1997), 101-105.
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 101-105
    • Sun, Y.-J.1    Hsieh, J.-G.2    Yang, H.-C.3
  • 20
    • 0028755893 scopus 로고
    • Robust stability of time varying systems with unknown bounded delays
    • Lake Buena Vista
    • E. I. Verriest: Robust stability of time varying systems with unknown bounded delays. In: Proc. 33rd IEEE Conference Decision and Control, Lake Buena Vista 1994, pp. 417-422.
    • (1994) Proc. 33rd IEEE Conference Decision and Control , pp. 417-422
    • Verriest, E.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.