The quadratic problem for systems with time delays
- 1 December 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 16 (6) , 673-687
- https://doi.org/10.1109/tac.1971.1099824
Abstract
The theory of optimal control for time delay systems and the quadratic performance criterion is presented from two points of view: 1) the geometric approach, which yields a maximum principle, and 2) the dynamic programming-Carathéodory approach, which yields a feedback controller synthesis. The relationship of the two approaches is discussed, as well as extensions of the theory to non-linear problems and nonlinear performance criterion.Keywords
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