Optimal boundary control of distributed systems involving dynamic boundary conditions

• Main Authors: Kerbal S., Ahmed N. U.
• Format: Article
• Language: English
• Published: Hindawi Limited 1997-01-01
• Series: Mathematical Problems in Engineering
• Subjects: <math alttext="$B$"> <mi>B</mi> </math>-evolutionsystems; Semi-linear systems; Dynamic boundary control problem; Semigroup; Generating and closed pair of operators; Optimal control; Lagrange problem
• Online Access: http://www.hindawi.net/access/get.aspx?journal=mpe&volume=3&pii=S1024123X97000616

<p>In this paper we consider Lagrange type control problem for systems involving dynamic boundary conditions that is, with boundary operators containing time derivatives. Assuming the existence of optimal controls, <math alttext="$B$"> <mi>B</mi> </math>-evolutions theory is used to present necessary conditions of optimality. The result is illustrated by an example from heat transfer problem and also an algorithm for computing optimal controls is presented.</p>