In this paper we construct a method for solving the problem of optimizing the maximal deviation of the real plan (or the trajectory, the technological process  . . . ) from some ideal one. The mathematical model of the dynamical system being considered is a system of linear differential equations with a control function. The method is based on some ideas of the so-called support method proposed by R. Gabasov and F.M. Kirillova.After introducing support controls and establishing their relation with controllability of the system, we derive a criterion (which can be easily verified) for a support control to be optimal. Then we briefly describe an iteration for improving the existing control if it has not been optimal yet. Finally we present an illustrative example.

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Date created

• 1991

Type

• Document

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• Processing documentation available at: https://wiki.albany.edu/display/SCA/Processing+Ingested+Digital+Files

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• Creative Commons BY-NC-ND Attribution-NonCommercial-NoDerivs 4.0 International

  
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Collection

System Dynamic Society Records

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• This collection is part of the University Archives