The Linear Stabilization Problem in Hilbert Space,
Abstract
The paper considers the linear control system dx/dt = Ax + Bu. Here A is infinitesimal generator of a strongly continuous group of bounded linear operators T(t) 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 u(t) = Kx(t) 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1971
- Accession Number
- AD0738097
Entities
People
- Marshall Slemrod
Organizations
- Brown University