메뉴 건너뛰기




Volumn 5, Issue , 2004, Pages 5088-5093

Fractional-order boundary control of fractional wave equation with delayed boundary measurement using smith predictor

Author keywords

Boundary control; Boundary stabilization; Delay; Fractional order calculus; Fractional wave equation; Smith predictor

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONTROL THEORY; LAPLACE TRANSFORMS; OPTIMIZATION;

EID: 14544292091     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (7)

References (19)
  • 1
    • 0022492943 scopus 로고
    • Realization of the generalized transfer equation in a medium with fractal geometry
    • R. R. Nigmatullin, "Realization of the generalized transfer equation in a medium with fractal geometry," Phys. Stat. Sol. (b), vol. 133, pp. 425-430, 1986.
    • (1986) Phys. Stat. Sol. (b) , vol.133 , pp. 425-430
    • Nigmatullin, R.R.1
  • 2
    • 0009481303 scopus 로고
    • The fractional diffusion equation
    • W. Wyss, "The fractional diffusion equation," J. Math. Phys., vol. 27, no. 11, pp. 2782-2785, 1986.
    • (1986) J. Math. Phys. , vol.27 , Issue.11 , pp. 2782-2785
    • Wyss, W.1
  • 3
    • 0001553919 scopus 로고
    • Fractional diffusion and wave equation
    • W. R. Schneider, "Fractional diffusion and wave equation," J. Math. Phys., vol. 30, no. 1, pp. 134-144, 1989.
    • (1989) J. Math. Phys. , vol.30 , Issue.1 , pp. 134-144
    • Schneider, W.R.1
  • 5
    • 0036650559 scopus 로고    scopus 로고
    • Solution for a fractional diffusion-wave equation defined in a bounded domain
    • Om P. Agrawal, "Solution for a fractional diffusion-wave equation defined in a bounded domain," Nonlinear Dynamics, vol. 29, pp. 145-155, 2002.
    • (2002) Nonlinear Dynamics , vol.29 , pp. 145-155
    • Agrawal, O.P.1
  • 6
    • 0036533005 scopus 로고    scopus 로고
    • An exponential stability result for the wave equation
    • Ömer Morgül, "An exponential stability result for the wave equation," Automatica, vol. 38, pp. 731-735, 2002.
    • (2002) Automatica , vol.38 , pp. 731-735
    • Morgül, Ö.1
  • 7
    • 0001169464 scopus 로고
    • Energy decay estimates and exact boundary value controllability for the wave equation in a bounded domain
    • G. Chen, "Energy decay estimates and exact boundary value controllability for the wave equation in a bounded domain," J. Math. Pure. Appl., vol. 58, pp. 249-273, 1979.
    • (1979) J. Math. Pure. Appl. , vol.58 , pp. 249-273
    • Chen, G.1
  • 8
    • 0031673798 scopus 로고    scopus 로고
    • Stabilization and disturbance rejection for the wave equation
    • Ö. Morgül, "Stabilization and disturbance rejection for the wave equation," IEEE Trans. Automat. Contr., vol. 43, no. 1, pp. 89-95, 1998.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , Issue.1 , pp. 89-95
    • Morgül, Ö.1
  • 9
    • 0022463140 scopus 로고
    • An example on the effect of time delays in boundary feedback stabilization of wave equations
    • R. Datko, J. Lagnese, and M. P. Polis, "An example on the effect of time delays in boundary feedback stabilization of wave equations," SIAM J. Control Optim., vol. 24, pp. 152-156, 1986.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 152-156
    • Datko, R.1    Lagnese, J.2    Polis, M.P.3
  • 10
    • 0029250726 scopus 로고
    • Boundary fractional derivative control of the wave equation
    • B. Mbodje and G. Montseny, "Boundary fractional derivative control of the wave equation," IEEE Trans. Automat. Contr., vol. 40, no. 2, pp. 378-382, 1995.
    • (1995) IEEE Trans. Automat. Contr. , vol.40 , Issue.2 , pp. 378-382
    • Mbodje, B.1    Montseny, G.2
  • 11
    • 8744312780 scopus 로고    scopus 로고
    • Simulation studies on the boundary stabilization and disturbance rejection for fractional diffusion-wave equation
    • Jinsong Liang, Y. Q. Chen, and R. Fullmer, "Simulation studies on the boundary stabilization and disturbance rejection for fractional diffusion-wave equation," in 2004 IEEE American Control Conference, 2004.
    • (2004) 2004 IEEE American Control Conference
    • Liang, J.1    Chen, Y.Q.2    Fullmer, R.3
  • 12
    • 1542359058 scopus 로고    scopus 로고
    • A new boundary control method for beam equation with delayed boundary measurement using modified smith predictors
    • Maui, Hawaii, USA, Dec.
    • J. Liang, YangQuan Chen, and Baozhu Guo, "A new boundary control method for beam equation with delayed boundary measurement using modified smith predictors," in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, USA, Dec. 2003, pp. 809-814.
    • (2003) Proceedings of the 42nd IEEE Conference on Decision and Control , pp. 809-814
    • Liang, J.1    Chen, Y.2    Guo, B.3
  • 13
    • 84977255207 scopus 로고
    • Linear models of dissipation whose q is almost frequency independent-II
    • M. Caputo, "Linear models of dissipation whose q is almost frequency independent-II," Geophys. J. R. Astronom. Soc., vol. 13, pp. 529-539, 1967.
    • (1967) Geophys. J. R. Astronom. Soc. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 16
    • 0000784190 scopus 로고
    • Closer control of loops with dead time
    • O. J. M. Smith, "Closer control of loops with dead time," Chem. Eng. Progress, vol. 53, no. 5, pp. 217-219, 1957.
    • (1957) Chem. Eng. Progress , vol.53 , Issue.5 , pp. 217-219
    • Smith, O.J.M.1
  • 17
    • 8744297240 scopus 로고    scopus 로고
    • A hybrid symbolic-numeric simulation method for some typical boundary control problems
    • Jinsong Liang, YangQuan Chen, and Bao-Zhu Guo, "A hybrid symbolic-numeric simulation method for some typical boundary control problems," in 2004 IEEE American Control Conference, 2004.
    • (2004) 2004 IEEE American Control Conference
    • Liang, J.1    Chen, Y.2    Guo, B.-Z.3
  • 18
    • 8744223021 scopus 로고    scopus 로고
    • Programs for fast numerical inversion of Laplace transforms in Matlab language enviroment
    • Lubomír Brančík, "Programs for fast numerical inversion of Laplace transforms in Matlab language enviroment," in Konference MATLAB '99 ZCU Plzen, 1999, pp. 27-39.
    • (1999) Konference MATLAB '99 ZCU Plzen , pp. 27-39
    • Brančík, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.