Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints

✍ Scribed by Ibrahim S. Sadek

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 909 KB
• Volume: 325
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(88)90033-6

✦ Synopsis

A class of optimal control problems for a damped distributed parameter system governed by a system of partial d@erential equations with side constraints (equality and/or inequality) is considered. Optimal control problems in structural mechanics are often formulated in this framework. A maximum principle is shown to be a necessary condition for the control to be optimal. Under additional convexity assumptions on state variables, the maximum principle is shown to be suflcient for optimality.

Pry"% =0

foralll dr<m, _) s lin which 0 is the d-dimensional zero vector.