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The Controllability of Systems Governed by Parabolic Differential Equations

✍ Scribed by Yanzhao Cao; Max Gunzburger; James Turner

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
199 KB
Volume
215
Category
Article
ISSN
0022-247X

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✦ Synopsis

The main result of this paper is a new, weaker condition for the exact controllability of linear parabolic partial differential equations. The result is derived through an examination of a related optimal control problem. It is shown that if the terminal state belongs to the Sobolev space of functions having two square integrable derivatives, then the parabolic equation is exactly controllable.

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