Controllability of a cylindrical shell in a fluid and in an acoustic field

ABSTRACT

In this paper, we show that a thin cylindrical shell which is surrounded by an inviscid fluid or an acoustic system is controllable. A cylindrical shell is exactly controllable by a single control at one end. The analysis shows that the same results can be obtained when it is submerged in an ideal fluid or in an acoustic field.

Keywords:

• Controllability
• cylindrical shell
• acoustic field

2010 Mathematics Subject Classification:

• 93B05

Disclosure statement

No potential conflict of interest was reported by the author.