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Volumn 388, Issue , 2009, Pages 145-155

TRACE-DDE: A tool for robust analysis and characteristic equations for delay differential equations

Author keywords

[No Author keywords available]

Indexed keywords

CHARACTERISTIC EQUATION; CHARACTERISTIC ROOTS; DELAY DIFFERENTIAL EQUATIONS; DISCRETE AND DISTRIBUTED DELAYS; EIGENVALUES; LINEAR AUTONOMOUS SYSTEM; NUMERICAL APPROXIMATIONS; NUMERICAL SCHEME; PSEUDOSPECTRAL; PSEUDOSPECTRAL APPROACH; ROBUST ANALYSIS; STABILITY CHART; STABILITY PROPERTIES;

EID: 70349902424     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-02897-7_13     Document Type: Conference Paper
Times cited : (75)

References (25)
  • 1
    • 0032690932 scopus 로고    scopus 로고
    • Analytical stability prediction and design of variable pitch cutters
    • Altintas, Y., Engin, S., Budak, E.: Analytical stability prediction and design of variable pitch cutters. ASME J. Manuf. Sci. E.-T. 121, 173-178 (1999)
    • (1999) ASME J. Manuf. Sci. E.-T. , vol.121 , pp. 173-178
    • Altintas, Y.1    Engin, S.2    Budak, E.3
  • 2
    • 33244474757 scopus 로고    scopus 로고
    • The infinitesimal generator approach for the computation of characteristic roots for delay differential equations using BDF methods
    • Department of Mathematics and Computer Science, University of Udine
    • Breda, D.: The infinitesimal generator approach for the computation of characteristic roots for delay differential equations using BDF methods. Technical Report RR17/2002, Department of Mathematics and Computer Science, University of Udine (2002)
    • (2002) Technical Report RR17/2002
    • Breda, D.1
  • 3
    • 33644627509 scopus 로고    scopus 로고
    • Solution operator approximation for characteristic roots of delay differential equations
    • Breda, D.: Solution operator approximation for characteristic roots of delay differential equations. Appl. Numer. Math. 56(3-4), 305-317 (2006)
    • (2006) Appl. Numer. Math. , vol.56 , Issue.3-4 , pp. 305-317
    • Breda, D.1
  • 4
    • 55549138043 scopus 로고    scopus 로고
    • Stability analysis of the gurtin- MacCamy model
    • Breda, D., Iannelli, M., Maset, S., Vermiglio, R.: Stability analysis of the Gurtin- MacCamy model. J. Numer. Anal. 46(2), 980-995 (2008)
    • (2008) J. Numer. Anal. , vol.46 , Issue.2 , pp. 980-995
    • Breda, D.1    Iannelli, M.2    Maset, S.3    Vermiglio, R.4
  • 5
    • 1642580774 scopus 로고    scopus 로고
    • Computing the characteristic roots for delay differential equations
    • Breda, D., Maset, S., Vermiglio, R.: Computing the characteristic roots for delay differential equations. IMA J. Numer. Anal. 24(1), 1-19 (2004)
    • (2004) IMA J. Numer. Anal. , vol.24 , Issue.1 , pp. 1-19
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 6
    • 33244454525 scopus 로고    scopus 로고
    • Efficient computation of stability charts for linear time delay systems
    • Long Beach USA
    • Breda, D., Maset, S., Vermiglio, R.: Efficient computation of stability charts for linear time delay systems. In: Proc. ASME-IDETC/CIE 2005, Long Beach, USA (2005)
    • (2005) Proc. ASME-IDETC/CIE 2005
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 7
    • 76149145683 scopus 로고    scopus 로고
    • An adaptive algorithm for efficient computation of level curves of surfaces
    • To appear in preprint
    • Breda, D., Maset, S., Vermiglio, R.: An adaptive algorithm for efficient computation of level curves of surfaces. To appear in Numer Algorithms (2009) (preprint)
    • (2009) Numer Algorithms
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 8
    • 33644937447 scopus 로고    scopus 로고
    • Pseudospectral differencing methods for characteristic roots of delay differential equations
    • Breda, D., Maset, S., Vermiglio, R.: Pseudospectral differencing methods for characteristic roots of delay differential equations. SIAM J. Sci. Comput. 27(2), 482-495 (2005)
    • (2005) SIAM J. Sci. Comput. , vol.27 , Issue.2 , pp. 482-495
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 9
    • 33644617506 scopus 로고    scopus 로고
    • Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary conditions
    • Breda, D., Maset, S., Vermiglio, R.: Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary conditions. Appl. Numer. Math. 56(3-4), 318-331 (2006)
    • (2006) Appl. Numer. Math. , vol.56 , Issue.3-4 , pp. 318-331
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 10
    • 70349862005 scopus 로고    scopus 로고
    • Numerical approximation of characteristic values of partial retarded functional differential equations
    • doi:10.1007/s00211-009-0233-7
    • Breda, D., Maset, S., Vermiglio, R.: Numerical approximation of characteristic values of partial retarded functional differential equations. Numer. Math. (2009), doi:10.1007/s00211-009-0233-7
    • (2009) Numer. Math.
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 11
    • 0003276341 scopus 로고
    • Delay Equations - Functional, Complex and Nonlinear Analysis
    • Springer, New York
    • Diekmann, O., van Gils, S.A., Verduyn Lunel, S.M., Walther, H.O.: Delay Equations - Functional, Complex and Nonlinear Analysis. In: AMS series, vol.110. Springer, New York (1995)
    • (1995) AMS Series , vol.110
    • Diekmann, O.1    Van Gils, S.A.2    Verduyn Lunel, S.M.3    Walther, H.O.4
  • 12
    • 0039483059 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
    • DOI 10.1145/513001.513002
    • Engelborghs, K., Luzyanina, T., Roose, D.: Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. ACM T. Math. Software 28(1), 1-21 (2002) (Pubitemid 135686769)
    • (2002) ACM Transactions on Mathematical Software , vol.28 , Issue.1 , pp. 1-21
    • Engelborghs, K.1    Luzyanina, T.2    Roose, D.3
  • 13
    • 0038016911 scopus 로고    scopus 로고
    • On stability of LMS methods and characteristic roots of delay differential equations
    • Engelborghs, K., Roose, D.: On stability of LMS methods and characteristic roots of delay differential equations. SIAM J. Numer. Anal. 40(2), 629-650 (2002)
    • (2002) SIAM J. Numer. Anal. , vol.40 , Issue.2 , pp. 629-650
    • Engelborghs, K.1    Roose, D.2
  • 15
    • 0003324723 scopus 로고
    • Introduction to functional differential equations
    • Springer, New York
    • Hale, J.K., Verduyn Lunel, S.M.: Introduction to functional differential equations. AMS series, vol.99. Springer, New York (1993)
    • (1993) AMS Series , vol.99
    • Hale, J.K.1    Verduyn Lunel, S.M.2
  • 16
    • 4344665210 scopus 로고    scopus 로고
    • Updated semi-discretization method for periodic delaydifferential equations with discrete delay
    • Insperger, T., Stépán, G.: Updated semi-discretization method for periodic delaydifferential equations with discrete delay. Int. J. Numer. Meth. Eng. 61, 117-141 (2004)
    • (2004) Int. J. Numer. Meth. Eng. , vol.61 , pp. 117-141
    • Insperger, T.1    Stépán, G.2
  • 17
    • 0347093579 scopus 로고    scopus 로고
    • Computing stability of differential equations with bounded distributed delays
    • Luzyanina, T., Engelborghs, K., Roose, D.: Computing stability of differential equations with bounded distributed delays. Numer. Algorithms 34(1), 41-66 (2003)
    • (2003) Numer. Algorithms , vol.34 , Issue.1 , pp. 41-66
    • Luzyanina, T.1    Engelborghs, K.2    Roose, D.3
  • 18
    • 58149529633 scopus 로고    scopus 로고
    • Stability and stabilization of time-delay systems. An eigenvalue based approach
    • SIAM, Philadelphia
    • Michiels,W., Niculescu, S.I.: Stability and stabilization of time-delay systems. An eigenvalue based approach. In: Advances in Design and Control, vol.12. SIAM, Philadelphia (2007)
    • (2007) Advances in Design and Control , vol.12
    • Michiels, W.1    Niculescu, S.I.2
  • 19
    • 0003252566 scopus 로고    scopus 로고
    • Delay Effects on Stability: A Robust Control Approach
    • Springer, London
    • Niculescu, S.-I.: Delay Effects on Stability: A Robust Control Approach. In: TLNCIS Monograph, vol.269. Springer, London (2001)
    • (2001) TLNCIS Monograph , vol.269
    • Niculescu, S.-I.1
  • 20
    • 0036576491 scopus 로고    scopus 로고
    • An exact method for the stability analysis of time delayed LTI systems
    • Olgac, N., Sipahi, R.: An exact method for the stability analysis of time delayed LTI systems. IEEE T. Automat. Contr. 47(5), 793-797 (2002)
    • (2002) IEEE T. Automat. Contr. , vol.47 , Issue.5 , pp. 793-797
    • Olgac, N.1    Sipahi, R.2
  • 21
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: An overview of some recent advances and open problems
    • Richard, J.-P.: Time-delay systems: an overview of some recent advances and open problems. Automatica 39, 1667-1694 (2003)
    • (2003) Automatica , vol.39 , pp. 1667-1694
    • Richard, J.-P.1
  • 25
    • 79961130761 scopus 로고    scopus 로고
    • Mapping the spectrum of a retarded time-delay system utilizing root distribution features
    • L'Aquila, Italy
    • Vyhlídal, T., Zítek, P.: Mapping the spectrum of a retarded time-delay system utilizing root distribution features. In: Proc. 6th IFAC workshop on Linear Time Delay Systems, L'Aquila, Italy (2006)
    • (2006) Proc. 6th IFAC Workshop on Linear Time Delay Systems
    • Vyhlídal, T.1    Zítek, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.