Boundary Control Problem of Infinite Order Distributed Hyperbolic Systems Involving Time Lags - Intelligent Control and Automation

ICA > Vol.3 No.3, August 2012

Intelligent Control and Automation

Volume 3, Issue 3 (August 2012)

ISSN Print: 2153-0653 ISSN Online: 2153-0661

Google-based Impact Factor: 0.70 Citations

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

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Download as PDF (Size: 272KB) PP. 211-221

DOI: 10.4236/ica.2012.33024 3,570 Downloads 5,318 Views Citations

Author(s)

Bahaa Gaber Mohamed

Affiliation(s)

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

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

Share and Cite:

B. Mohamed, "Boundary Control Problem of Infinite Order Distributed Hyperbolic Systems Involving Time Lags," Intelligent Control and Automation, Vol. 3 No. 3, 2012, pp. 211-221. doi: 10.4236/ica.2012.33024.

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