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- Type:
- Document
- Date Created:
- 1991
- Collection:
- System Dynamic Society Records
- Collecting Area:
- University Archives
- Collection ID:
- ua435
- Parent Record(s):
- 23d738ba88f8333bc39725f9cb5bd0b8, 5d7e83a7ca6c4cd9ab0ccc8a805a7aa7, and d1cfc0fcedb4f6334f34d1ca11dcf292
- Description:
- 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.