Finite rank stabilizability and preservation of stabilizability under sampling for distributed parameter systems

Author

Rosen, I.G. ; Wang, C.

Author_Institution

Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

375

Abstract

Considered are the notion of stabilizability (and the dual notion of detectability) for infinite dimensional systems and some questions that arise in its relation to, and interaction with, time sampling. More specifically, two questions are addressed involving the optimal linear quadratic (LQ) control of discrete-time infinite dimensional or distributed parameter systems. These are spectral decomposition and finite rank stabilizability of a continuous linear control system and stabilizability under sampling for infinite dimensional systems

Keywords

discrete time systems; distributed parameter systems; linear systems; multidimensional systems; optimal control; stability; continuous linear control system; detectability; discrete time systems; distributed parameter systems; finite rank stabilizability; infinite dimensional systems; linear quadratic control; optimal control; sampling; spectral decomposition; Control systems; Convergence; Distributed parameter systems; Ear; Mathematics; Optimal control; Riccati equations; Sampling methods; State feedback; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203618

Filename

203618