Linearization of differential connection in quadratic constraints of the optimal control problem linear in control
β Scribed by A. V. Dmitruk
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 531 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1046-283X
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## Abstract In this paper, we consider the linearβquadratic control problem with an inequality constraint on the control variable. We derive the feedback form of the optimal control by the agency of the unconstrained linearβquadratic control systems. Copyright Β© 2001 John Wiley & Sons, Ltd.
We establish regularity properties of solutions of linear quadratic optimal control problems involving state inequality constraints. Under simply stated and directly verifiable hypotheses on the data, it is shown that if the state constraint has index k > 0 then the o ~timal control ~ is k times dif