Spectral systems
- 1 April 1984
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 39 (4) , 657-666
- https://doi.org/10.1080/00207178408933195
Abstract
The class of distributed systems generated by spectral operators is an important one and includes the many differential operators arising in boundary-value problems involving non-symmetric linear differential operators, whose eigenfunction expansions converge in much the same way as Fourier series. Thus they enjoy many of the properties of systems generated by self-adjoint operators. We examine here some of the implications in linear systems theory.Keywords
This publication has 3 references indexed in Scilit:
- Control Canonical Forms and Eigenvalue Assignment by Feedback for a Class of Linear Hyperbolic SystemsSIAM Journal on Control and Optimization, 1981
- On the stabilizability problem in Banach spaceJournal of Mathematical Analysis and Applications, 1975
- Perturbations of spectral operators, and applications. I. Bounded perturbationsPacific Journal of Mathematics, 1954