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Linear Systems and Operators in Hilbert Space
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The article was published on 1982-12-01 and is currently open access. It has received 317 citations till now. The article focuses on the topics: Operator theory & Hilbert manifold.read more
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Book ChapterDOI
Models for Dynamics
TL;DR: The purpose of this paper is to give a tutorial exposition of what the authors consider to be the basic mathematical concepts in the theory of dynamical systems.
Journal ArticleDOI
Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
TL;DR: In this paper, the transfer functions of abstract linear systems are defined via a generalization of a theorem of Foures and Segal, and the main result is a necessary and sufficient condition for an abstract linear system to be regular, in terms of its transfer function.
Journal ArticleDOI
Subspace-based signal analysis using singular value decomposition
TL;DR: A unified approach is presented to the related problems of recovering signal parameters from noisy observations and identifying linear system model parameters from observed input/output signals, both using singular value decomposition (SVD) techniques.
Journal ArticleDOI
Admissible observation operators for linear semigroups
TL;DR: In this paper, the authors consider a semigroup T on a Banach space and a (possibly unbounded) operator C densely defined in the space, with values in another space, and give necessary and sufficient conditions for C to be an admissible observation operator for T, i.e., any finite segment of the output functiony(t)=CTtx,t ≥ 0, should be inLp and should depend continuously on the initial statex.
Journal ArticleDOI
Sensors and controllers location in distributed systems-A survey
TL;DR: A survey of the field of optimal sensors and/or controllers location for dynamical distributed parameter systems modelled by partial differential equations is presented and a classification of methods is proposed.