메뉴 건너뛰기




Volumn 47, Issue 9, 2011, Pages 2001-2005

An effective analytical criterion for stability testing of fractional-delay systems

Author keywords

BIBO stability; Fractional delay system; Stability test

Indexed keywords

A-STABILITY; BIBO STABILITY; CHARACTERISTIC ROOTS; COMPLEX FUNCTIONS; COMPLEX PLANES; EXPLICIT FORMULA; FRACTIONAL-DELAY SYSTEM; ILLUSTRATIVE EXAMPLES; REAL PART; RIEMANN SURFACES; STABILITY TEST; STABILITY TESTING; SUFFICIENT AND NECESSARY CONDITION; TIME-DELAY SYSTEMS;

EID: 80052028649     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.05.018     Document Type: Article
Times cited : (41)

References (27)
  • 1
    • 0021439912 scopus 로고
    • On the appearance of the fractional derivative in the behavior of real materials
    • R.L. Bagley, and P.J. Torvik On the appearance of the fractional derivative in the behavior of real materials ASME Journal of Applied Mechanics 51 1984 294 298 (Pubitemid 14583152)
    • (1984) Journal of Applied Mechanics, Transactions ASME , vol.51 , Issue.2 , pp. 294-298
    • Torvik, P.J.1    Bagley, R.L.2
  • 2
    • 0036642801 scopus 로고    scopus 로고
    • Analysis of fractional delay systems of retarded and neutral type
    • DOI 10.1016/S0005-1098(01)00306-5, PII S0005109801003065
    • C. Bonnet, and J.R. Partington Analysis of fractional delay systems of retarded and neutral type Automatica 38 2002 1133 1138 (Pubitemid 34524669)
    • (2002) Automatica , vol.38 , Issue.7 , pp. 1133-1138
    • Bonnet, C.1    Partington, J.R.2
  • 3
    • 36348973366 scopus 로고    scopus 로고
    • Stabilization of some fractional delay systems of neutral type
    • DOI 10.1016/j.automatica.2007.03.017, PII S0005109807002129
    • C. Bonnet, and J.R. Partington Stabilization of some fractional delay systems of retarded and neutral type Automatica 43 2007 2047 2053 (Pubitemid 350148069)
    • (2007) Automatica , vol.43 , Issue.12 , pp. 2047-2053
    • Bonnet, C.1    Partington, J.R.2
  • 4
    • 57749209882 scopus 로고    scopus 로고
    • Stability of linear continuous-time fractional order systems with delays of the retarded type
    • M. Buslowicz Stability of linear continuous-time fractional order systems with delays of the retarded type Bulletin of the Polish Academy of Sciences: Technical Sciences 56 2008 319 324
    • (2008) Bulletin of the Polish Academy of Sciences: Technical Sciences , vol.56 , pp. 319-324
    • Buslowicz, M.1
  • 6
    • 34548530905 scopus 로고    scopus 로고
    • Chaotic dynamics of the fractionally damped van der Pol equation
    • J.H. Chen, and W.C. Chen Chaotic dynamics of the fractionally damped van der Pol equation Chaos, Solitons and Fractals 35 2008 188 198
    • (2008) Chaos, Solitons and Fractals , vol.35 , pp. 188-198
    • Chen, J.H.1    Chen, W.C.2
  • 7
    • 0036650867 scopus 로고    scopus 로고
    • Analytical stability bound for a class of delayed fractional-order systems
    • Y.Q. Chen, and K.L. More Analytical stability bound for a class of delayed fractional-order systems Nonlinear Dynamics 29 2002 191 200
    • (2002) Nonlinear Dynamics , vol.29 , pp. 191-200
    • Chen, Y.Q.1    More, K.L.2
  • 8
    • 33947133956 scopus 로고    scopus 로고
    • Stability analysis of linear fractional differential system with multiple time delays
    • W.H. Deng, C.P. Li, and J.H. L Stability analysis of linear fractional differential system with multiple time delays Nonlinear Dynamics 48 2007 409 416
    • (2007) Nonlinear Dynamics , vol.48 , pp. 409-416
    • Deng, W.H.1    Li, C.P.2    H, L.J.3
  • 9
    • 0029276908 scopus 로고
    • Kelvin-Voigt vs fractional derivative model as constitutive relations for viscoelastic materials
    • L.B. Eldred, W.P. Baker, and A.N. Palazotto Kelvin-Voigt vs fractional derivative model as constitutive relations for viscoelastic materials AIAA Journal 33 1995 547 550
    • (1995) AIAA Journal , vol.33 , pp. 547-550
    • Eldred, L.B.1    Baker, W.P.2    Palazotto, A.N.3
  • 10
    • 57249116194 scopus 로고    scopus 로고
    • On the essential instabilities caused by fractional-order transfer functions
    • 10.1155/2008/419046 Article ID 419046
    • M.-B. Farshad, and K.-G. Masoud On the essential instabilities caused by fractional-order transfer functions Mathematical Problems in Engineering 2008 13 10.1155/2008/419046 Article ID 419046
    • (2008) Mathematical Problems in Engineering , pp. 13
    • Farshad, M.-B.1    Masoud, K.-G.2
  • 11
    • 0024714933 scopus 로고
    • Robust stability for time-delay systems: The edge theorem and graphical tests
    • M.Y. Fu, A.W. Olbrot, and M.P. Polis Robust stability for time-delay systems: the edge theorem and graphical tests IEEE Transactions on Automatic Control 34 1989 813 820
    • (1989) IEEE Transactions on Automatic Control , vol.34 , pp. 813-820
    • Fu, M.Y.1    Olbrot, A.W.2    Polis, M.P.3
  • 12
    • 0001114217 scopus 로고    scopus 로고
    • Counting roots of the characteristic equation for linear delay-differential systems
    • DOI 10.1006/jdeq.1996.3127, PII S0022039696931277
    • B.D. Hassard Counting roots of the characteristic equation for linear delay-differential systems Journal of Differential Equations 136 1997 222 235 (Pubitemid 127341327)
    • (1997) Journal of Differential Equations , vol.136 , Issue.2 , pp. 222-235
    • Hassard, B.D.1
  • 13
    • 33645135087 scopus 로고    scopus 로고
    • A numerical algorithm for stability testing of fractional delay systems
    • C. Hwang, and Y.C. Cheng A numerical algorithm for stability testing of fractional delay systems Automatica 42 2006 825 831
    • (2006) Automatica , vol.42 , pp. 825-831
    • Hwang, C.1    Cheng, Y.C.2
  • 15
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and design of fractional-order digital control systems
    • J.A.T. Machado Analysis and design of fractional-order digital control systems Systems Analysis, Modelling and Simulation 27 23 1997 107 122
    • (1997) Systems Analysis, Modelling and Simulation , vol.27 , Issue.23 , pp. 107-122
    • MacHado, J.A.T.1
  • 17
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • R. Metzler, and J. Klafter The random walk's guide to anomalous diffusion: A fractional dynamics approach Physics Reports 339 2000 1 77
    • (2000) Physics Reports , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 19
    • 0004330474 scopus 로고    scopus 로고
    • Nyquist characteristics of a fractional order integrator
    • P. Ostalczyk Nyquist characteristics of a fractional order integrator Journal of Fractional Calculus 19 2001 67 78
    • (2001) Journal of Fractional Calculus , vol.19 , pp. 67-78
    • Ostalczyk, P.1
  • 22
    • 85065556461 scopus 로고    scopus 로고
    • Application of fractional calculus for dynamic problems of solid mechanics: Novel trends and recent results
    • 010801-1-52
    • Y.A. Rossikhin, and M.V. Shitikova Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results Applied Mechanics Reviews 63 2010 010801-1-52
    • (2010) Applied Mechanics Reviews , vol.63
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 25
    • 77953148885 scopus 로고    scopus 로고
    • Stability of a linear oscillator with damping force of fractional-order derivative
    • Z.H. Wang, and H.Y. Hu Stability of a linear oscillator with damping force of fractional-order derivative Science China: Physics, Mechanics & Astronomy 53 2010 345 352
    • (2010) Science China: Physics, Mechanics & Astronomy , vol.53 , pp. 345-352
    • Wang, Z.H.1    Hu, H.Y.2
  • 26
    • 77951475682 scopus 로고    scopus 로고
    • Dynamic analysis of the fractional order NewtonLeipnik system
    • M.J. Wang, and X.Y. Wang Dynamic analysis of the fractional order NewtonLeipnik system Acta Physica Sinica 59 2010 1583 1592
    • (2010) Acta Physica Sinica , vol.59 , pp. 1583-1592
    • Wang, M.J.1    Wang, X.Y.2
  • 27
    • 67849109649 scopus 로고    scopus 로고
    • The optimal form of the fractional-order difference feedbacks in enhancing the stability of a sdof vibration system
    • Z.H. Wang, and Y.G. Zheng The optimal form of the fractional-order difference feedbacks in enhancing the stability of a sdof vibration system Journal of Sound and Vibration 326 35 2009 476 488
    • (2009) Journal of Sound and Vibration , vol.326 , Issue.35 , pp. 476-488
    • Wang, Z.H.1    Zheng, Y.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.