Boundary Control Problem of Infinite Order Distributed Hyperbolic Systems Involving Time Lags

Bahaa Gaber Mohamed

Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.

DOI: 10.4236/ica.2012.33024                

Abstract

Various optimal boundary control problems for linear infinite order distributed hyperbolic systems involving constant time lags are considered. Constraints on controls are imposed. Necessary and sufficient optimality conditions for the Neumann problem with the quadratic performance functional are derived.

Keywords

Boundary Control; (n × n) Hyperbolic Systems; Time Lags; Distributed Control Problems; Neumann Conditions; Existence and Uniqueness of Solutions; Infinite Order Operator

Conflicts of Interest

The authors declare no conflicts of interest.

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