ON THE GENERAL-THEORY OF EXACT CONTROLLABILITY FOR SKEW SYMMETRICAL OPERATORS

被引：14
|
作者：
BENSOUSSAN, A
机构：
[1] INST NATL RECH INFORMAT & AUTOMAT,F-78150 LE CHESNAY,FRANCE
[2] UNIV PARIS 09,F-75576 PARIS 16,FRANCE
来源：
ACTA APPLICANDAE MATHEMATICAE | 1990年 / 20卷 / 03期
关键词：
CONTROLLABILITY; CONTROL; WAVE EQUATION;
D O I：
10.1007/BF00049568
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a general formalism for linear evolution equations with skew adjoint operators. We make explicit the controllability operator as an expansion with respect to eigenfunctions. Using the fact that the eigenvalues are purely imaginary, we give sufficient controllability conditions. This approach is convenient for studying the asymptotic behaviour of the optimal control.
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页码：197 / 229
页数：33
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