Maximum principle for optimal control of two-directionally continuous linear repetitive processes

  • Authors:
  • Dariusz Idczak

  • Affiliations:
  • Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland 90-238

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2008

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Abstract

In the paper, maximum principle for a two-directionally continuous variant of a linear autonomous repetitive process with cost functional depending on a fixed "end-function" is obtained. Maximum condition has a pointwise form, a conjugate system has a Fornasini-Marchesini form. The result is derived from the extremum principle for smooth-convex problems, due to Ioffe and Tikhomirov.