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IMA Journal of Mathematical Control and Information 1992 9(3):221-230; doi:10.1093/imamci/9.3.221
© 1992 by Institute of Mathematics and its Applications
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A new approach for a linear quadratic optimal-control problem of distributed systems with delays in the control

J. KARRAKCHOU1 and A. NAMIR2

1L.E.R.M.A., Ecole Mohammadia d'Ingénieurs Rabat, Morocco
2Département de Mathématiques Faculté des sciences II Casablanca, Morocco

The liner quadratic optimal control of distributed systems with delays in control is considered. A new approach for solving this problem is presented. It is based on the construction of an appropriate Hilbert-space structure. To illustrate this work, an example of a linear retarded functional differential equation is given. The results of this paper can be applied to hyperbolic, parabolic, retarded, and neutral systems with delays in control.


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