In this paper we consider a linear time-varying system with state and control delay terms, both lumped and distributed, subject to unknown, square integrable disturbances. Using a differential games approach, we provide a necessary and sufficient condition for the existence of an optimal control law
โฆ LIBER โฆ
Optimal control of the delay linear systems with allowance for the terminal state constraints
โ Scribed by R. Gabasov; O. P. Grushevich; F. M. Kirillova
- Book ID
- 110152650
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2007
- Tongue
- English
- Weight
- 288 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0005-1179
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Systems with delays in state and control variables can be transformed into infinite dimensional systems without delays. Standard techniques can be used to solve the linear quadratic control problem and derive algebraic and differential Riccati equations.