## The problem of characterizing the input-output behaviour of those linear systems which admit internal representations with finite-dimensional state spaces is studied in this paper. The systems are assumed to be Hilbert-Schmidt systems, and the main result is derived using well-known properties of
Systems with infinite dimensional state space: The Hilbert space approach
β Scribed by J. William Helton
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 83 KB
- Volume
- 301
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
We analyze here linear multivariable distributed 8ystem8 and synthesis problems for lumped-distributed networks The method8 used center around the invariant subspace theory of Helson-Lax and the theory of vectorial Hardy functions. State space and transfer
π SIMILAR VOLUMES
The title statement is proved. Similar results for arbitrary Banach spaces are obtained in both the real-analytic and the \(C^{\prime \prime}\) settings. 1995 Academic Press. Inc.
This paper summarizes the main results concerning the analysis of the local convergence of quasi-newton methods in finite and infinite-dimensional Hilbert spaces. Although the physicist working on the computer is essentially concerned with the finite-dimensional case (i.e. the discrete case), it is