Accession Number:

AD0738097

Title:

The Linear Stabilization Problem in Hilbert Space,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1971-01-01

Pagination or Media Count:

21.0

Abstract:

The paper considers the linear control system dxdt Ax Bu. Here A is infinitesimal generator of a strongly continuous group of bounded linear operators Tt on a Hilbert space E, B is a bounded linear operator from a Hilbert space H to E. The author gives sufficient conditions for the existence of a bounded linear operator K from E to H so that the control system with feedback control law ut Kxt has the zero solution asymptotically stable. The results reduce to a well-known theorem of Kalman in the case E,H are finite dimensional. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE