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  • 标题:THE BACKSTEPPING METHOD FOR STABILIZING TIME FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATION
  • 本地全文:下载
  • 作者:IBTISAM KAMIL HANAN ; MUHAMMAD ZAINI AHMAD ; FADHEL SUBHI FADHEL
  • 期刊名称:Journal of Theoretical and Applied Information Technology
  • 印刷版ISSN:1992-8645
  • 电子版ISSN:1817-3195
  • 出版年度:2017
  • 卷号:95
  • 期号:6
  • 出版社:Journal of Theoretical and Applied
  • 摘要:In this article the nonlinear time fractional order partial differential equation (NTFPDE) subject to a boundary controller at the boundary is considered. The semi-discretized backstepping control technique is used for stabilize the partial differential equation with fractional order To the author best knowledge, this is the first time in the literature that the backstepping method is being used for stabilizing NTFPDE. Illustrative example is given to demonstrate the effectiveness of the proposed control scheme. Simulation results show that the proposed design not only can stabilize the NTFPDE but performs better than an integer order as well.
  • 关键词:Backstepping Method; Fractional Lyapunov Function; Fractional Derivative; Boundary Control; Fractional Eulers Method.
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