The synthesis of optimal controls for linear,time-optimal problems with retarded controls |
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Authors: | H. T. Banks M. Q. Jacobs M. R. Latina |
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Affiliation: | (1) Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhose Island;(2) Present address: Mathematics Department, Rhode Island Junior College, Providence, Rhode Island |
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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.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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