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Volumn 368, Issue 1911, 2010, Pages 469-482

Delayed feedback of sampled higher derivatives

Author keywords

Advanced argument; Delay; Functional differential equations; Sampling; Stability

Indexed keywords

DIFFERENTIAL EQUATIONS; DIGITAL CONTROL SYSTEMS; DYNAMICAL SYSTEMS; STATE FEEDBACK; SYSTEM STABILITY;

EID: 76149097230     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2009.0246     Document Type: Article
Times cited : (23)

References (27)
  • 1
    • 0017740956 scopus 로고
    • Time delays in single species growth models
    • doi:10.1007/BF00280975
    • Cushing, J. M. 1977 Time delays in single species growth models, J. Math. Biol. 3, 257-264. (doi:10.1007/BF00280975)
    • (1977) J. Math. Biol. , vol.3 , pp. 257-264
    • Cushing, J.M.1
  • 3
    • 0001129441 scopus 로고    scopus 로고
    • Preservation of stability under approximation for a neutral FDE
    • Fabiano, R. H. & Turi, J. 1999 Preservation of stability under approximation for a neutral FDE. Dynam. Contin. Discrete Impuls. Syst. 5, 351-364.
    • (1999) Dynam. Contin. Discrete Impuls. Syst. , vol.5 , pp. 351-364
    • Fabiano, R.H.1    Turi, J.2
  • 4
    • 0042046255 scopus 로고    scopus 로고
    • On the asymptotic behavior of solutions of certain differential functional equations
    • Filho, O. C. O. 1997 On the asymptotic behavior of solutions of certain differential functional equations. Nonlinear Anal. Theory Methods Appl. 30, 1171-1182.
    • (1997) Nonlinear Anal. Theory Methods Appl. , vol.30 , pp. 1171-1182
    • Filho, O.C.O.1
  • 5
    • 0011619827 scopus 로고    scopus 로고
    • Preservation of stability in a linear neutral differential equation under delay perturbations
    • Gy″ori I. & Hartung, F. 2001 Preservation of stability in a linear neutral differential equation under delay perturbations. Dynam. Syst. Appl. 10, 225-242.
    • (2001) Dynam. Syst. Appl. , vol.10 , pp. 225-242
    • Gyori, I.1    Hartung, F.2
  • 6
    • 0000907709 scopus 로고    scopus 로고
    • Preservation of Stability in Delay Equations under Delay Perturbations
    • DOI 10.1006/jmaa.1997.5883, PII S0022247X97958832
    • Gy″ori, I., Hartung, F. & Turi, J. 1998 Preservation of stability in delay equations under delay perturbations. J. Math. Anal. Appl. 220, 290-312. (doi:10.1006/jmaa.1997.5883) (Pubitemid 128341214)
    • (1998) Journal of Mathematical Analysis and Applications , vol.220 , Issue.1 , pp. 290-312
    • Gyori, I.1    Hartung, F.2    Turi, J.3
  • 8
    • 33344457477 scopus 로고    scopus 로고
    • Approximate stability charts for milling processes using semi-discretization
    • DOI 10.1016/j.amc.2005.05.008, PII S0096300305004418
    • Hartung, F., Insperger, T., Stepan, G. & Turi, J. 2006 Approximate stability charts for milling processes using semi-discretization. Appl. Math. Comput. 174, 51-73. (doi:10.1016/j.amc.2005.05.008) (Pubitemid 43288937)
    • (2006) Applied Mathematics and Computation , vol.174 , Issue.1 , pp. 51-73
    • Hartung, F.1    Insperger, T.2    Stepan, G.3    Turi, J.4
  • 9
    • 84960560867 scopus 로고
    • Roots of the transcendental equation associated with a certain differencedifferential equation
    • doi:10.1112/jlms/s1-25.3.226
    • Hayes, N. D. 1950 Roots of the transcendental equation associated with a certain differencedifferential equation. J. London Math. Soc. 25, 226-232. (doi:10.1112/jlms/s1-25.3.226)
    • (1950) J. London Math. Soc. , vol.25 , pp. 226-232
    • Hayes, N.D.1
  • 11
    • 1842796599 scopus 로고    scopus 로고
    • Stability chart for the delayed Mathieu equation
    • doi:10.1098/rspa.2001.0941
    • Insperger, T. & Stepan, G. 2002 Stability chart for the delayed Mathieu equation. Proc. R. Soc. Lond. A 458, 1989-1998. (doi:10.1098/rspa.2001. 0941)
    • (2002) Proc. R. Soc. Lond. A , vol.458 , pp. 1989-1998
    • Insperger, T.1    Stepan, G.2
  • 12
    • 40949113761 scopus 로고    scopus 로고
    • On the higher-order semi-discretizations for periodic delayed systems
    • doi:10.1016/j.jsv.2007.11.040
    • Insperger, T., Stepan, G. & Turi, J. 2008 On the higher-order semi-discretizations for periodic delayed systems. J. Sound Vib. 313, 334-341. (doi:10.1016/j.jsv.2007.11.040)
    • (2008) J. Sound Vib. , vol.313 , pp. 334-341
    • Insperger, T.1    Stepan, G.2    Turi, J.3
  • 15
    • 58149404420 scopus 로고
    • Oscillations caused by several retarded and advanced arguments
    • Ladas, G. & Stavroulakis, I. P. 1982 Oscillations caused by several retarded and advanced arguments. J. Differential Equations 44, 134-152.
    • (1982) J. Differential Equations , vol.44 , pp. 134-152
    • Ladas, G.1    Stavroulakis, I.P.2
  • 16
    • 34250809647 scopus 로고    scopus 로고
    • Stability of Runge-Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments
    • DOI 10.1016/j.camwa.2006.07.018, PII S0898122107001708
    • Lv, W. J., Yang, Z. W. & Liu, M. Z. 2007 Stability of Runge-Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments. Comput. Math. Appl. 54, 326-335. (doi:10.1016/j.camwa.2006.07.018) (Pubitemid 46977172)
    • (2007) Computers and Mathematics with Applications , vol.54 , Issue.3 , pp. 326-335
    • Lv, W.J.1    Yang, Z.W.2    Liu, M.Z.3
  • 18
    • 0036568344 scopus 로고    scopus 로고
    • Continuous pole placement for delay equations
    • DOI 10.1016/S0005-1098(01)00257-6, PII S0005109801002576
    • Michiels, W., Engelborghs, K., Vansevenant, P. & Roose, D. 2002 Continuous pole placement for delay equations. Automatica 38, 747-761. (doi:10.1016/S0005-1098(01)00257-6) (Pubitemid 34201117)
    • (2002) Automatica , vol.38 , Issue.5 , pp. 747-761
    • Michiels, W.1    Engelborghs, K.2    Vansevenant, P.3    Roose, D.4
  • 20
    • 0031128540 scopus 로고    scopus 로고
    • Systems of differential equations of alternately retarded and advanced type
    • DOI 10.1006/jmaa.1997.5355, PII S0022247X97953555
    • Rodrigues, I. W. 1997 Systems of differential equations of alternately retarded and advanced type. J. Math. Anal. Appl. 209, 180-190. (doi:10.1006/jmaa.1997.5355) (Pubitemid 127171346)
    • (1997) Journal of Mathematical Analysis and Applications , vol.209 , Issue.1 , pp. 180-190
    • Rodrigues, I.W.1
  • 21
    • 84872778115 scopus 로고
    • Advanced differential equations with piecewise constant argument deviations
    • doi:10.1155/S0161171283000599
    • Shah, S. M. & Wiener, J. 1983 Advanced differential equations with piecewise constant argument deviations. Int. J. Math. Math. Sci. 6, 671-703. (doi:10.1155/S0161171283000599)
    • (1983) Int. J. Math. Math. Sci. , vol.6 , pp. 671-703
    • Shah, S.M.1    Wiener, J.2
  • 22
    • 23344454498 scopus 로고    scopus 로고
    • Stability of v-methods for advanced differential equations with piecewise continuous arguments
    • DOI 10.1016/j.camwa.2005.02.002, PII S0898122105001501
    • Song, M. H., Yang, Z. W. & Liu, M. Z. 2005 Stability of v-methods for advanced differential equations with piecewise continuous arguments. Comput. Math. Appl. 49, 1295-1301. (doi:10.1016/j.camwa.2005.02.002) (Pubitemid 41101285)
    • (2005) Computers and Mathematics with Applications , vol.49 , Issue.9-10 , pp. 1295-1301
    • Song, M.H.1    Yang, Z.W.2    Liu, M.Z.3
  • 24
    • 60749117809 scopus 로고    scopus 로고
    • Delay effects in the human sensory system during balancing
    • doi:10.1098/rsta.2008.0278
    • Stepan, G. 2009 Delay effects in the human sensory system during balancing. Phil. Trans. R. Soc. A 367, 1195-1212. (doi:10.1098/rsta.2008.0278)
    • (2009) Phil. Trans. R. Soc. A , vol.367 , pp. 1195-1212
    • Stepan, G.1
  • 25
    • 58149522342 scopus 로고    scopus 로고
    • Stability impact of small delays in proportional-derivative state feedback
    • doi:10.1016/j.conengprac.2008.09.001
    • Vyhlidal, T., Michiels, W., Zitek, P. & McGahan, P. 2009 Stability impact of small delays in proportional-derivative state feedback. Control Eng. Practice 17, 382-393. (doi:10.1016/j.conengprac.2008.09.001)
    • (2009) Control Eng. Practice , vol.17 , pp. 382-393
    • Vyhlidal, T.1    Michiels, W.2    Zitek, P.3    McGahan, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.