Spectral Assignability of Systems with Scalar Control and Application to a Degenerate Hyperbolic System
Document Type
Article
Publication Date
1-1-1986
Identifier/URL
40543510 (Pure); 0023031388 (QABO)
Abstract
Some distributed-parameter systems with scalar boundary control can be represented as systems with Hilbert spaces for which the input functionals may not be continuous but are admissible in some sense. A spectral assignability result is proved for such systems. The conditions needed are that the system should be approximately controllable and that feedback relations of a certain type are continuous. These conditions are shown to be satisfied by systems that are exactly controllable. The general results are applied to a degenerate hyperbolic system; it is shown to be exactly controllable, and a spectral assignability result is obtained.
Repository Citation
Ho, L. F.
(1986). Spectral Assignability of Systems with Scalar Control and Application to a Degenerate Hyperbolic System. 1986 25th IEEE Conference on Decision and Control, 149-152.
https://corescholar.libraries.wright.edu/math/526
DOI
10.1109/cdc.1986.267174
