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The synthesis of optimal controls for linear, time-optimal problems with retarded controls

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Abstract

Optimization problems involving linear systems with retardations in the controls are studied in a systematic way. Some physical motivation for the problems is discussed. The topics covered are: controllability, existence and uniqueness of the optimal control, sufficient conditions, techniques of synthesis, and dynamic programming. A number of solved examples are presented.

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Author notes

  1. M. R. Latina (Research Assistant)

    Present address: Mathematics Department, Rhode Island Junior College, Providence, Rhode Island

Authors and Affiliations

  1. Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhose Island

    H. T. Banks (Assistant Professor), M. Q. Jacobs (Assistant Professor) & M. R. Latina (Research Assistant)

Authors
  1. H. T. Banks
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  2. M. Q. Jacobs
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  3. M. R. Latina
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Additional information

Communicated by L. D. Berkovitz

This research was supported in part by the National Aeronautics and Space Administration under Grant No. NGL-40-002-015, in part by the Air Force Office of Scientific Research under Grant No. AF-AFOSR-693-67B, and in part by the National Science Foundation under Grant No. GP-15132.

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Banks, H.T., Jacobs, M.Q. & Latina, M.R. The synthesis of optimal controls for linear, time-optimal problems with retarded controls. J Optim Theory Appl 8, 319–366 (1971). https://doi.org/10.1007/BF00929286

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  • DOI: https://doi.org/10.1007/BF00929286

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