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Volumn 16, Issue 7-8, 2010, Pages 961-982

Eigenvalue assignment via the lambert w function for control of time-delay systems

Author keywords

Delay differential equation; eigenvalue assignment; feedback control; Lambert W function

Indexed keywords

CLOSED-LOOP EIGENVALUES; CONTROLLER DESIGN METHOD; DELAY DIFFERENTIAL EQUATIONS; EIGENSPECTRUM; EIGENVALUE ASSIGNMENT; EXISTING METHOD; FEEDBACK CONTROLLER; FEEDBACK CONTROLLER DESIGN; LAMBERT W FUNCTION; LINEAR ODES; LINEAR TIME INVARIANT SYSTEMS; MATRIX; STATE TRANSITION MATRIX; TIME-DELAY SYSTEMS;

EID: 77954342492     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546309341102     Document Type: Article
Times cited : (55)

References (40)
  • 2
    • 0032002662 scopus 로고    scopus 로고
    • An effective algorithm for finite spectrum assignment of single-input systems with delays
    • Brethé, D. and Loiseau, J.J., 1998, " An effective algorithm for finite spectrum assignment of single-input systems with delays, " Mathematics and Computers in Simulation 45 (3-4). 339-348.
    • (1998) Mathematics and Computers in Simulation , vol.45 , Issue.3-4 , pp. 339-348
    • Brethé, D.1    Loiseau, J.J.2
  • 5
  • 6
    • 0037055128 scopus 로고    scopus 로고
    • An extension of predictive control, PID regulators and Smith predictors to some linear delay systems
    • Fliess, M., Marquez, R., and Mounier, H., 2002, " An extension of predictive control, PID regulators and Smith predictors to some linear delay systems, " International Journal of Control 75 (10). 728-743.
    • (2002) International Journal of Control , vol.75 , Issue.10 , pp. 728-743
    • Fliess, M.1    Marquez, R.2    Mounier, H.3
  • 7
    • 85047698958 scopus 로고
    • Controllability, observability and the transfer function matrix for a delay-differential system
    • Frost, M.G., 1982, " Controllability, observability and the transfer function matrix for a delay-differential system, " International Journal of Control 35 (1). 175-182.
    • (1982) International Journal of Control , vol.35 , Issue.1 , pp. 175-182
    • Frost, M.G.1
  • 10
    • 9744261841 scopus 로고    scopus 로고
    • "output Feedback Stabilization of Linear Time-delay Systems,"
    • Dugard, L. and Verriest, E. I. (eds), Springer, New York
    • Li, X. and deSouza, C.E., 1998, "Output feedback stabilization of linear time-delay systems," in Stability and Control of Time-Delay Systems, Dugard, L. and Verriest, E. I. (eds), Springer, New York, pp. 241-258.
    • (1998) Stability and Control of Time-Delay Systems , pp. 241-258
    • Li, X.1    Desouza, C.E.2
  • 11
    • 31644433453 scopus 로고    scopus 로고
    • The response of a Duffing-van der Pol oscillator under delayed feedback control
    • DOI 10.1016/j.jsv.2005.06.033, PII S0022460X05004712
    • Li, X., Ji, J.C., Hansen C.H., and Tan, C., 2006, " The response of a Duffing-van der Pol oscillator under delayed feedback control, " Journal of Sound and Vibration 291 (3-5). 644-655. (Pubitemid 43172070)
    • (2006) Journal of Sound and Vibration , vol.291 , Issue.3-5 , pp. 644-655
    • Li, X.1    Ji, J.C.2    Hansen, C.H.3    Tan, C.4
  • 12
    • 0032643767 scopus 로고    scopus 로고
    • Global stabilizability for a class of uncertain systems with multiple time-varying delays via linear control
    • Lien, C.H., Sun, Y.J., and Hsieh, J.G., 1999, " Global stabilizability for a class of uncertain systems with multiple time-varying delays via linear control, " International Journal of Control 72 (10). 904-910.
    • (1999) International Journal of Control , vol.72 , Issue.10 , pp. 904-910
    • Lien, C.H.1    Sun, Y.J.2    Hsieh, J.G.3
  • 13
    • 0035493290 scopus 로고    scopus 로고
    • The response of a parametrically excited van der Pol oscillator to a time delay state feedback
    • Maccari, A., 2001, " The response of a parametrically excited van der Pol oscillator to a time delay state feedback, " Nonlinear Dynamics 26 (2). 105-119.
    • (2001) Nonlinear Dynamics , vol.26 , Issue.2 , pp. 105-119
    • MacCari, A.1
  • 14
    • 0037208719 scopus 로고    scopus 로고
    • Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback
    • Maccari, A., 2003, " Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback, " International Journal of Non-Linear Mechanics 38 (1). 123-131.
    • (2003) International Journal of Non-Linear Mechanics , vol.38 , Issue.1 , pp. 123-131
    • MacCari, A.1
  • 15
    • 12944289522 scopus 로고    scopus 로고
    • New results on delay-dependent control of time-delay systems
    • Mahmoud, M.S. and Ismail, A., 2005, " New results on delay-dependent control of time-delay systems, " IEEE Transactions on Automatic Control 50 (1). 95-100.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.1 , pp. 95-100
    • Mahmoud, M.S.1    Ismail, A.2
  • 16
    • 0018503972 scopus 로고
    • Finite spectrum assignment problem for systems with delays
    • Manitius, A. and Olbrot, A.W., 1979, " Finite spectrum assignment problem for systems with delays, " IEEE Transactions on Automatic Control 24 (4). 541-553.
    • (1979) IEEE Transactions on Automatic Control , vol.24 , Issue.4 , pp. 541-553
    • Manitius, A.1    Olbrot, A.W.2
  • 17
    • 0036568344 scopus 로고    scopus 로고
    • Continuous pole placement for delay equations
    • Michiels, W., Engelborghs, K., Vansevenant, P., and Roose, D., 2002, " Continuous pole placement for delay equations, " Automatica 38 (5). 747-761.
    • (2002) Automatica , vol.38 , Issue.5 , pp. 747-761
    • Michiels, W.1    Engelborghs, K.2    Vansevenant, P.3    Roose, D.4
  • 18
    • 0032221707 scopus 로고    scopus 로고
    • Algebraic interpretation of the spectral controllability of a linear delay system
    • Mounier, H., 1998, " Algebraic interpretation of the spectral controllability of a linear delay system, " Forum Mathematicum 10 (1). 39-58.
    • (1998) Forum Mathematicum , vol.10 , Issue.1 , pp. 39-58
    • Mounier, H.1
  • 20
    • 0015414820 scopus 로고
    • On controllability of linear systems with time delays in control
    • Olbrot, A.W., 1972, " On controllability of linear systems with time delays in control, " IEEE Transactions on Automatic Control 17 (5). 664-666.
    • (1972) IEEE Transactions on Automatic Control , vol.17 , Issue.5 , pp. 664-666
    • Olbrot, A.W.1
  • 21
    • 0018021793 scopus 로고
    • Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays
    • Olbrot, A.W., 1978, " Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays, " IEEE Transactions on Automatic Control 23 (5). 887-890.
    • (1978) IEEE Transactions on Automatic Control , vol.23 , Issue.5 , pp. 887-890
    • Olbrot, A.W.1
  • 22
    • 0036576491 scopus 로고    scopus 로고
    • An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
    • Olgac, N. and Sipahi, R., 2002, " An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems, " IEEE Transactions on Automatic Control 47 (5). 793-797.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.5 , pp. 793-797
    • Olgac, N.1    Sipahi, R.2
  • 23
    • 0001480106 scopus 로고    scopus 로고
    • Active vibration control of distributed systems using delayed resonator with acceleration feedback
    • Olgac, N., Elmali, H., Hosek, M., and Renzulli, M., 1997, " Active vibration control of distributed systems using delayed resonator with acceleration feedback, " Journal of Dynamic Systems, Measurement, and Control 119 (3). 380-389.
    • (1997) Journal of Dynamic Systems, Measurement, and Control , vol.119 , Issue.3 , pp. 380-389
    • Olgac, N.1    Elmali, H.2    Hosek, M.3    Renzulli, M.4
  • 25
    • 34250315551 scopus 로고
    • Continuous control of chaos by self-controlling feedback
    • Pyragas, K., 1992, " Continuous control of chaos by self-controlling feedback, " Physics Letters A 170 (6). 421-428.
    • (1992) Physics Letters A , vol.170 , Issue.6 , pp. 421-428
    • Pyragas, K.1
  • 27
    • 0034300314 scopus 로고    scopus 로고
    • Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
    • Reddy, D.V.R., Sen, A., and Johnston, G.L., 2000, " Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks, " Physica D 144 (3). 335-357.
    • (2000) Physica D , vol.144 , Issue.3 , pp. 335-357
    • Reddy, D.V.R.1    Sen, A.2    Johnston, G.L.3
  • 28
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: An overview of some recent advances and open problems
    • Richard, J.P., 2003, " Time-delay systems: an overview of some recent advances and open problems, " Automatica 39 (10). 1667-1964.
    • (2003) Automatica , vol.39 , Issue.10 , pp. 1667-1964
    • Richard, J.P.1
  • 30
    • 33747770647 scopus 로고    scopus 로고
    • Robust stability analysis of linear time-delay systems by Lambert W function: Some extreme point results
    • Shinozaki, H. and Mori, T., 2006, " Robust stability analysis of linear time-delay systems by Lambert W function: some extreme point results, " Automatica 42 (10). 1791-1799.
    • (2006) Automatica , vol.42 , Issue.10 , pp. 1791-1799
    • Shinozaki, H.1    Mori, T.2
  • 32
    • 0037698400 scopus 로고    scopus 로고
    • Active vibration suppression with time delayed feedback
    • Sipahi, R. and Olgac, N., 2003, " Active vibration suppression with time delayed feedback, " ASME Journal of Vibration and Acoustics 125 (3). 384-388.
    • (2003) ASME Journal of Vibration and Acoustics , vol.125 , Issue.3 , pp. 384-388
    • Sipahi, R.1    Olgac, N.2
  • 33
    • 33751190988 scopus 로고    scopus 로고
    • Stability of time-periodic and delayed systems - A route to act-and-wait control
    • Stépán, G. and Insperger, T., 2006, " Stability of time-periodic and delayed systems - a route to act-and-wait control, " Annual Reviews in Control 30 (2). 159-168.
    • (2006) Annual Reviews in Control , vol.30 , Issue.2 , pp. 159-168
    • Stépán, G.1    Insperger, T.2
  • 35
    • 0029267594 scopus 로고
    • Automatic tuning of finite spectrum assignment controllers for delay systems
    • Wang, Q., Lee, H.T., and Tan, K.K., 1995, " Automatic tuning of finite spectrum assignment controllers for delay systems, " Automatica 31 (3). 477-482.
    • (1995) Automatica , vol.31 , Issue.3 , pp. 477-482
    • Wang, Q.1    Lee, H.T.2    Tan, K.K.3
  • 36
    • 0036845207 scopus 로고    scopus 로고
    • The dynamics of two coupled van der Pol oscillators with delay coupling
    • Wirkus, S. and Rand, R., 2002, " The dynamics of two coupled van der Pol oscillators with delay coupling, " Nonlinear Dynamics 30 (3). 205-221.
    • (2002) Nonlinear Dynamics , vol.30 , Issue.3 , pp. 205-221
    • Wirkus, S.1    Rand, R.2
  • 37
    • 0037947648 scopus 로고    scopus 로고
    • Effects of time delayed position feedback on a van der Pol-Duffing oscillator
    • Xu, J. and Chung, K.W., 2003, " Effects of time delayed position feedback on a van der Pol-Duffing oscillator, " Physica D 180 (1-2). 17-39.
    • (2003) Physica D , vol.180 , Issue.1-2 , pp. 17-39
    • Xu, J.1    Chung, K.W.2
  • 39
    • 34547256518 scopus 로고    scopus 로고
    • Chatter stability analysis using the matrix Lambert function and bifurcation analysis
    • Yi, S., Nelson, P.W., and Ulsoy, A.G., 2007 b, " Chatter stability analysis using the matrix Lambert function and bifurcation analysis, " Mathematical Biosciences and Engineering 4 (2). 355-368.
    • (2007) Mathematical Biosciences and Engineering , vol.4 , Issue.2 , pp. 355-368
    • Yi, S.1    Nelson, P.W.2    Ulsoy, A.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.