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Volumn 54, Issue 10, 2011, Pages 1839-1846

Stability test of fractional-delay systems via integration

Author keywords

[No Author keywords available]

Indexed keywords

SYSTEM STABILITY;

EID: 84876674344     PISSN: 16747348     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11433-011-4447-1     Document Type: Article
Times cited : (18)

References (27)
  • 1
    • 84984772459 scopus 로고    scopus 로고
    • Fractional differentiation by neocortical pyramidal neurons
    • Lundstrom B. N, Higgs M. H, Spain W. J, et al. Fractional differentiation by neocortical pyramidal neurons. Nat Neurosci, 2008, 11: 1335-1342
    • (2008) Nat Neurosci , vol.11 , pp. 1335-1342
    • Lundstrom, B.N.1    Higgs, M.H.2    Spain, W.J.3
  • 2
    • 33745759950 scopus 로고    scopus 로고
    • Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics
    • Xu M. Y, Tan W. C. Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics. Sci China Phys Mech Astron, 2006, 49: 257-272
    • (2006) Sci China Phys Mech Astron , vol.49 , pp. 257-272
    • Xu, M.Y.1    Tan, W.C.2
  • 3
    • 33751418151 scopus 로고    scopus 로고
    • Analysis of the flow of non-newtonian viscoelastic fluids in fractal reservoir with the fractional derivative
    • Tong D. K, Wang R. H. Analysis of the flow of non-Newtonian viscoelastic fluids in fractal reservoir with the fractional derivative. Sci China Ser G-Phys Mech Astron, 2004, 47: 421-441
    • (2004) Sci China Ser G-Phys Mech Astron , vol.47 , pp. 421-441
    • Tong, D.K.1    Wang, R.H.2
  • 5
    • 0021439912 scopus 로고
    • On the appearance of the fractional derivative in the behavior of real materials
    • Bagley R. L, Torvik P. J. On the appearance of the fractional derivative in the behavior of real materials. ASME J. Appl Mech, 1984, 51: 294-298
    • (1984) ASME J. Appl Mech , vol.51 , pp. 294-298
    • Bagley, R.L.1    Torvik, P.J.2
  • 6
    • 0242667817 scopus 로고    scopus 로고
    • Fractional derivative viscoelasticity at large deformations
    • Adolfsson K, Enelund M. Fractional derivative viscoelasticity at large deformations. Nonlinear Dyn, 2003, 33: 301-321
    • (2003) Nonlinear Dyn , vol.33 , pp. 301-321
    • Adolfsson, K.1    Enelund, M.2
  • 7
    • 15744376961 scopus 로고    scopus 로고
    • Fractional calculus description of non-linear viscoelastic behaviour of polymers
    • Heymans N. Fractional calculus description of non-linear viscoelastic behaviour of polymers. Nonlinear Dyn, 2004, 38: 221-231
    • (2004) Nonlinear Dyn , vol.38 , pp. 221-231
    • Heymans, N.1
  • 8
    • 34347273767 scopus 로고    scopus 로고
    • Torward an equation of state for solid materials with memory by use of the half-order derivative
    • Koeller R. C. Torward an equation of state for solid materials with memory by use of the half-order derivative. Acta Mech, 2007, 191: 125-133
    • (2007) Acta Mech , vol.191 , pp. 125-133
    • Koeller, R.C.1
  • 9
    • 85065556461 scopus 로고    scopus 로고
    • Application of fractional calculus for dynamic problems of solid mechanics: Novel trends and recent results
    • Rossikhin Y. A, Shitikova M. V. Application of fractional calculus for dynamic problems of solid mechanics: Novel trends and recent results. Appl Mech Rev, 2010, 63: 010801
    • (2010) Appl Mech Rev , vol.63 , pp. 010801
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 10
    • 0029276908 scopus 로고
    • Kelvin-voigt vs fractional derivative model as constitutive relations for viscoelastic materials
    • Eldred L. B, Baker WP, Palazotto A. N. Kelvin-Voigt vs fractional derivative model as constitutive relations for viscoelastic materials. AIAA J, 1995, 33: 547-550
    • (1995) AIAA J , vol.33 , pp. 547-550
    • Eldred, L.B.1    Baker, W.P.2    Palazotto, A.N.3
  • 11
    • 84872903786 scopus 로고    scopus 로고
    • Fractional model for the physical aging of polymers (in chinese
    • Chen H. S, Hou T. T, Feng Y. P. Fractional model for the physical aging of polymers (in Chinese). Sci Sin Phys Mech Astron, 2010, 40: 1267-1274
    • (2010) Sci Sin Phys Mech Astron , vol.40 , pp. 1267-1274
    • Chen, H.S.1    Hou, T.T.2    Feng, Y.P.3
  • 12
    • 0036907534 scopus 로고    scopus 로고
    • Frequency-dependent viscoelastic models for passive vibration isolation systems
    • Coronado A, TrindadeMA, Sampaio R. Frequency-dependent viscoelastic models for passive vibration isolation systems. Shock Vib, 2002, 9: 253-264
    • (2002) Shock Vib , vol.9 , pp. 253-264
    • Coronado, A.1    Trindade, M.A.2    Sampaio, R.3
  • 13
    • 4243530410 scopus 로고    scopus 로고
    • Mechanics with fractional derivatives
    • Riewe F. Mechanics with fractional derivatives. Phys Rev E, 1997, 55: 3591-3592
    • (1997) Phys Rev E , vol.55 , pp. 3591-3592
    • Riewe, F.1
  • 14
    • 0036870768 scopus 로고    scopus 로고
    • Damped oscillations in view of the fractional oscillator equation
    • Ryabov Y. E, Puzenko A. Damped oscillations in view of the fractional oscillator equation. Phys Rev E, 2002, 66: 184201
    • (2002) Phys Rev E , vol.66 , pp. 184201
    • Ryabov, Y.E.1    Puzenko, A.2
  • 15
    • 0037097306 scopus 로고    scopus 로고
    • Response characteristics of a fractional oscillator
    • Narahari A. B. N, Hanneken J. W, Clarke T. Response characteristics of a fractional oscillator. Physica A, 2002, 309: 275-288
    • (2002) Physica A , vol.309 , pp. 275-288
    • Narahari, A.B.N.1    Hanneken, J.W.2    Clarke, T.3
  • 16
    • 46249125645 scopus 로고    scopus 로고
    • Fractional conservation laws in optimal control theory
    • Frederico G. S. F, Torres D. F. M. Fractional conservation laws in optimal control theory. Nonlinear Dyn, 2007, 53: 215-222
    • (2007) Nonlinear Dyn , vol.53 , pp. 215-222
    • Frederico, G.S.F.1    Torres, D.F.M.2
  • 17
    • 77953148885 scopus 로고    scopus 로고
    • Stability of a linear oscillator with damping force of fractional-order derivative
    • Wang Z. H, Hu H. Y. Stability of a linear oscillator with damping force of fractional-order derivative. Sci China Phys Mech Astron, 2010, 53: 345-352
    • (2010) Sci China Phys Mech Astron , vol.53 , pp. 345-352
    • Wang, Z.H.1    Hu, H.Y.2
  • 18
    • 41949106006 scopus 로고    scopus 로고
    • Study on the fractional-order liu chaotic system with circuit experiment and its control (in chinese
    • Chen X. R, Liu C. X, Wang F. Q, et al. Study on the fractional-order Liu chaotic system with circuit experiment and its control (in Chinese). Acta Phys Sin, 2007, 57: 1416-1422
    • (2007) Acta Phys Sin , vol.57 , pp. 1416-1422
    • Chen, X.R.1    Liu, C.X.2    Wang, F.Q.3
  • 19
    • 27744589296 scopus 로고    scopus 로고
    • Finite time stability analysis of pda fractional control of robotic time-delay systems
    • Lazarevic M. P. Finite time stability analysis of PDa fractional control of robotic time-delay systems. Mech Res Commun, 2006, 33: 269-279
    • (2006) Mech Res Commun , vol.33 , pp. 269-279
    • Lazarevic, M.P.1
  • 20
    • 0022045595 scopus 로고
    • An analytic stability test for a certain class of distributed parameter systems with delay
    • Ozturk N, Uraz A. An analytic stability test for a certain class of distributed parameter systems with delay. IEEE Trans CAS, 1985, 32: 393-396
    • (1985) IEEE Trans CAS , vol.32 , pp. 393-396
    • Ozturk, N.1    Uraz, A.2
  • 21
    • 0036650867 scopus 로고    scopus 로고
    • Analytical stability bound for a class of delayed fractional-order dynamic systems
    • Chen Y. Q, More K. L. Analytical stability bound for a class of delayed fractional-order dynamic systems. Nonlinear Dyn, 2002, 29: 191-200
    • (2002) Nonlinear Dyn , vol.29 , pp. 191-200
    • Chen, Y.Q.1    More, K.L.2
  • 22
    • 33645135087 scopus 로고    scopus 로고
    • A numerical algorithm for stability testing of fractional delay systems
    • Hwang C, Cheng Y. C. A numerical algorithm for stability testing of fractional delay systems. Automatica, 2006, 42: 825-831
    • (2006) Automatica , vol.42 , pp. 825-831
    • Hwang, C.1    Cheng, Y.C.2
  • 23
    • 36348973366 scopus 로고    scopus 로고
    • Stabilization of some fractional delay systems of neutral type
    • Bonnet C, Partington J. R. Stabilization of some fractional delay systems of neutral type. Automatica, 2007, 43: 2047-2053
    • (2007) Automatica , vol.43 , pp. 2047-2053
    • Bonnet, C.1    Partington, J.R.2
  • 24
    • 57749209882 scopus 로고    scopus 로고
    • Stability of linear continuous-time fractional order systems with delays of the retarded type
    • BuslowiczM. Stability of linear continuous-time fractional order systems with delays of the retarded type. Bull Polish Acad Sci-Tech Sci, 2008, 56: 319-324
    • (2008) Bull Polish Acad Sci-Tech Sci , vol.56 , pp. 319-324
    • Buslowicz, M.1
  • 25
    • 0024714933 scopus 로고
    • Robust stability for time-delay systems: The edge theorem and graphical tests
    • Fu M. Y, Olbrot A. W, Polis M. P. Robust stability for time-delay systems: The edge theorem and graphical tests. IEEE Trans Auto Control, 1989, 34: 813-820
    • (1989) IEEE Trans Auto Control , vol.34 , pp. 813-820
    • Fu, M.Y.1    Olbrot, A.W.2    Polis, M.P.3
  • 26
    • 57549092045 scopus 로고    scopus 로고
    • An efficient numerical algorithm for stability testing of fractional-delay systems
    • Frashad M. B, Masoud K. G. An efficient numerical algorithm for stability testing of fractional-delay systems. ISA Trans, 2009, 48: 32-37
    • (2009) ISA Trans , vol.48 , pp. 32-37
    • Frashad, M.B.1    Masoud, K.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.