Journal of Lanzhou University of Technology ›› 2022, Vol. 48 ›› Issue (2): 151-155.

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An optimal control problem governed by fractional order dynamic equation on time scales

REN Qiu-yan1,2, YANG Qiao-ling1   

  1. 1. College of Electrical and Information Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China;
    2. College of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730020, China
  • Received:2021-01-15 Online:2022-04-28 Published:2022-05-07

Abstract: By imposing some suitable conditions on the related functions, for any given control policy, the existence of a unique solution for the nonlinear fractional order controlled system can be obtain. Moreover, the existence of an optimal solution for the optimal control problem governed by fractional order dynamic equation on time scales is studied.

Key words: time scale, fractional order dynamic equation, optimal control problem, optimal solution, existence

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