메뉴 건너뛰기




Volumn 51, Issue 8, 2006, Pages 1271-1288

Stability of linear systems with interval time delays excluding zero

Author keywords

Linear matrix inequality (LMI); Robust stability; Time delay

Indexed keywords

APPROXIMATION THEORY; DELAY CONTROL SYSTEMS; LINEAR SYSTEMS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SYSTEMS ANALYSIS;

EID: 33747868441     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.878715     Document Type: Article
Times cited : (23)

References (34)
  • 1
    • 0000787446 scopus 로고    scopus 로고
    • "Impact of linear coupling on the design of active controllers for thermoacoustic instability"
    • A. M. Annaswamy, M. Fleifil, J. P. Hathout, and A. F. Ghoniem, "Impact of linear coupling on the design of active controllers for thermoacoustic instability," Combust. Sci. Technol., vol. 128, pp. 131-160, 1997.
    • (1997) Combust. Sci. Technol. , vol.128 , pp. 131-160
    • Annaswamy, A.M.1    Fleifil, M.2    Hathout, J.P.3    Ghoniem, A.F.4
  • 3
    • 0016755044 scopus 로고
    • "Time delays are not necessarily destabilizing"
    • J. Beddington and R. M. May, "Time delays are not necessarily destabilizing," Math Biosci., vol. 27, pp. 109-117, 1975.
    • (1975) Math Biosci. , vol.27 , pp. 109-117
    • Beddington, J.1    May, R.M.2
  • 4
    • 1642580774 scopus 로고    scopus 로고
    • "Computing the characteristic roots for delay differential equations"
    • D. Breda, S. Maset, and R. Vermiglio, "Computing the characteristic roots for delay differential equations," IMA J. Numer. Anal., vol. 24, no. 1, pp. 1-19, 2004.
    • (2004) IMA J. Numer. Anal. , vol.24 , Issue.1 , pp. 1-19
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 5
    • 0029378753 scopus 로고
    • "A new method for computing delay margins for stability of linear delay systems"
    • Jan
    • J. Chen, G. Gu, and C. N. Nett, "A new method for computing delay margins for stability of linear delay systems," Syst. Control Lett., vol. 26, no. 2, pp. 107-117, Jan. 1995.
    • (1995) Syst. Control Lett. , vol.26 , Issue.2 , pp. 107-117
    • Chen, J.1    Gu, G.2    Nett, C.N.3
  • 6
    • 0003431037 scopus 로고    scopus 로고
    • L. Dugard and E. I. Verriest Eds., New York: Springer-Verlag
    • L. Dugard and E. I. Verriest, Eds., Stability and Control of Time-Delay Systems. New York: Springer-Verlag, 1997.
    • (1997) Stability and Control of Time-Delay Systems
  • 7
    • 0012637308 scopus 로고    scopus 로고
    • "Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations"
    • K. Engelborghs and D. Roose, "Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations," Adv. Comput. Math., vol. 10, no. 3-4, pp. 271-289, 1999.
    • (1999) Adv. Comput. Math. , vol.10 , Issue.3-4 , pp. 271-289
    • Engelborghs, K.1    Roose, D.2
  • 9
    • 0033360574 scopus 로고    scopus 로고
    • "Additional dynamics in transformed time-delay systems"
    • K. Gu, "Additional dynamics in transformed time-delay systems," Int. J. Control, vol. 72, no. 16, pp. 1436-1445, 1999.
    • (1999) Int. J. Control , vol.72 , Issue.16 , pp. 1436-1445
    • Gu, K.1
  • 10
    • 0033360574 scopus 로고    scopus 로고
    • "Discretized Lyapunov functional for uncertain systems with multiple delay"
    • K. Gu, "Discretized Lyapunov functional for uncertain systems with multiple delay," Int. J. Control, vol. 72, no. 16, pp. 1436-1445, 1999.
    • (1999) Int. J. Control , vol.72 , Issue.16 , pp. 1436-1445
    • Gu, K.1
  • 11
    • 0035278769 scopus 로고    scopus 로고
    • "Further remarks on additional dynamics in various model transformations of linear delay systems"
    • Mar
    • K. Gu and S.-I. Niculescu, "Further remarks on additional dynamics in various model transformations of linear delay systems," IEEE Trans. Autom. Control, vol. 46, no. 3, pp. 497-500, Mar. 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.3 , pp. 497-500
    • Gu, K.1    Niculescu, S.-I.2
  • 12
    • 0035838737 scopus 로고    scopus 로고
    • "A further refinement of discretized Lyapunov functional method for the stability of time-delay systems"
    • K. Gu, "A further refinement of discretized Lyapunov functional method for the stability of time-delay systems," Int. J. Control, vol. 74, no. 10, pp. 967-976, 2001.
    • (2001) Int. J. Control , vol.74 , Issue.10 , pp. 967-976
    • Gu, K.1
  • 16
    • 0142226331 scopus 로고
    • "Stability of time-delay systems"
    • Y.-T. Juang and W.-J. Shyu, "Stability of time-delay systems," Control Theory Adv. Technol., vol. 10, no. 4, pp. 2029-2107, 1995.
    • (1995) Control Theory Adv. Technol. , vol.10 , Issue.4 , pp. 2029-2107
    • Juang, Y.-T.1    Shyu, W.-J.2
  • 17
    • 0033330941 scopus 로고    scopus 로고
    • "Some remarks on transformations used for stability and robust stability analysis of time-delay systems"
    • V. L. Kharitonov and D. A. Melchor, "Some remarks on transformations used for stability and robust stability analysis of time-delay systems," in Proc. 38th IEEE Conf. Decision and Control, 1999, pp. 1142-1147.
    • (1999) Proc. 38th IEEE Conf. Decision and Control , pp. 1142-1147
    • Kharitonov, V.L.1    Melchor, D.A.2
  • 18
    • 0142200317 scopus 로고    scopus 로고
    • "Stability of linear systems with interval time-delay"
    • C. Knospe and M. Roozbehani, "Stability of linear systems with interval time-delay," in Proc. Amer. Control Conf., 2003, pp. 1458-1463.
    • (2003) Proc. Amer. Control Conf. , pp. 1458-1463
    • Knospe, C.1    Roozbehani, M.2
  • 19
    • 0000760069 scopus 로고
    • "Model reduction of delay systems using Padé approximants"
    • J. Lam, "Model reduction of delay systems using Padé approximants," Int. J. Control, vol. 57, no. 2, pp. 377-391, 1993.
    • (1993) Int. J. Control , vol.57 , Issue.2 , pp. 377-391
    • Lam, J.1
  • 20
    • 0022979232 scopus 로고
    • "Two delays may not destabilize although either delay can"
    • N. MacDonald, "Two delays may not destabilize although either delay can," Math Biosci., vol. 82, pp. 127-140, 1986.
    • (1986) Math Biosci. , vol.82 , pp. 127-140
    • MacDonald, N.1
  • 22
    • 0036576491 scopus 로고    scopus 로고
    • "An exact method for the stability analysis of time-delayed linear time invariant systems"
    • May
    • N. Olgac and R. Sipahi, "An exact method for the stability analysis of time-delayed linear time invariant systems," IEEE Trans. Autom. Control, vol. 47, no. 5, pp. 793-797, May 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.5 , pp. 793-797
    • Olgac, N.1    Sipahi, R.2
  • 24
    • 0004089226 scopus 로고    scopus 로고
    • "Nonlinear heat-release/acoustic model for thermoacoustic instability in lean premixed combustors"
    • presented at the ASME 98-GT-269
    • A. Peracchio and W. Proscia, "Nonlinear heat-release/acoustic model for thermoacoustic instability in lean premixed combustors," presented at the Int. Gas Turbine and Aeroengine Exhibition, ASME 98-GT-269.
    • Int. Gas Turbine and Aeroengine Exhibition
    • Peracchio, A.1    Proscia, W.2
  • 25
    • 1542295803 scopus 로고    scopus 로고
    • "Robust stability analysis of time-delay systems: A free lunch!"
    • M.S. thesis, School Eng. Appl. Sci. Univ. Virginia, Charlottesville, VA
    • M. Roozbehani, "Robust stability analysis of time-delay systems: A free lunch!," M.S. thesis, School Eng. Appl. Sci., Univ. Virginia, Charlottesville, VA, 2003.
    • (2003)
    • Roozbehani, M.1
  • 26
    • 23944488900 scopus 로고    scopus 로고
    • ∞ perfromance analysis of interval-dependent time delay systems"
    • ∞ perfromance analysis of interval-dependent time delay systems," in Proc. Amer. Control Conf., 2005, pp. 4265-4270.
    • (2005) Proc. Amer. Control Conf. , pp. 4265-4270
    • Roozbehani, M.1    Knospe, C.2
  • 29
    • 0008144734 scopus 로고
    • "An analytic stability test for a class of time-delay systems"
    • Jun
    • A. Thowsen, "An analytic stability test for a class of time-delay systems," IEEE Trans. Autom. Control, vol. AC-26, no. 3, pp. 735-736, Jun. 1981.
    • (1981) IEEE Trans. Autom. Control , vol.AC-26 , Issue.3 , pp. 735-736
    • Thowsen, A.1
  • 30
    • 0003060933 scopus 로고
    • "Machine dynamics"
    • in R. I. King, Ed. New York: Chapman and Hall
    • J. Tlusty, "Machine dynamics," in Handbook of High Speed Machining Technology, R. I. King, Ed. New York: Chapman and Hall, 1985, pp. 48-153.
    • (1985) Handbook of High Speed Machining Technology , pp. 48-153
    • Tlusty, J.1
  • 31
    • 0032624770 scopus 로고    scopus 로고
    • "Robust stability test for dynamic systems with short delays by using Padé approximation"
    • Z. Wang and H. Hu, "Robust stability test for dynamic systems with short delays by using Padé approximation," Nonlinear Dyna., vol. 18, pp. 275-287, 1999.
    • (1999) Nonlinear Dyna. , vol.18 , pp. 275-287
    • Wang, Z.1    Hu, H.2
  • 32
    • 0142195187 scopus 로고    scopus 로고
    • "Analysis of systems with state delay: A comparison system framework"
    • Ph.D. Dissertation, School Eng. Appl. Sci. Univ. Virginia, Charlottesville, VA
    • J. Zhang, "Analysis of systems with state delay: A comparison system framework," Ph.D. dissertation, School Eng. Appl. Sci., Univ. Virginia, Charlottesville, VA, 2000.
    • (2000)
    • Zhang, J.1
  • 33
    • 0142027787 scopus 로고    scopus 로고
    • "New results for the analysis of linear systems with time-invariant delays"
    • J. Zhang, C. R. Knospe, and P. Tsiotras, "New results for the analysis of linear systems with time-invariant delays," Int. J. Robust Nonlinear Control, vol. 13, no. 12, pp. 1149-1175, 2003.
    • (2003) Int. J. Robust Nonlinear Control , vol.13 , Issue.12 , pp. 1149-1175
    • Zhang, J.1    Knospe, C.R.2    Tsiotras, P.3
  • 34
    • 0035278761 scopus 로고    scopus 로고
    • "Stability of time-delay systems: Equivalence between Lyapunov and scaled small gain conditions"
    • Mar
    • J. Zhang, C. R. Knospe, and P. Tsiotras, "Stability of time-delay systems: Equivalence between Lyapunov and scaled small gain conditions," IEEE Trans. Autom. Control, vol. 46, no. 3, pp. 482-486, Mar. 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.3 , pp. 482-486
    • Zhang, J.1    Knospe, C.R.2    Tsiotras, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.