Journal ArticleDOI
Linear Systems Over Commutative Rings: A (Partial) Updated Survey
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Some recent developments in the theory of linear systems over rings are described, focusing on problems of regulation, as well as on applications to delay systems and computational methods for classical linear systems.About:
This article is published in IFAC Proceedings Volumes.The article was published on 1981-08-01. It has received 25 citations till now. The article focuses on the topics: Linear dynamical system & Linear system.read more
Citations
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Journal ArticleDOI
On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings
TL;DR: The existence of stable and of stable proper factorizations are studied, in the context of the theory of systems over rings, related to stabilizability and detectability properties of realizations of the transfer matrix.
Journal ArticleDOI
The block decoupling problem for systems over a ring
Giuseppe Conte,A.M. Perdon +1 more
TL;DR: The notion of a precontrollability submodule, which captures the geometric aspects of the notion of controllability subset of the state space in the present context, is introduced and it is used for stating solvability conditions for the decoupling problem for a system with coefficients in a Noetherian ring.
Journal ArticleDOI
Skew-prime polynomial matrices: The polynomial-model approach
TL;DR: In this article, the concept of skew-primeness of polynomial matrices in terms of the associated model is examined and the equivalence of the solutions to the problem of output regulation with internal stability obtained via geometric methods and via polynomially matrix techniques is shown explicitly.
Journal ArticleDOI
Regulation of linear systems over rings by dynamic output feedback
TL;DR: In this paper, a general algebraic solution to the problem of linear system regulation over arbitrary commutative rings by dynamic output feedback is given which extends the theory of regulation for such systems, and the notion of row (column) regularity for polynomial matrices over a class of rings (Bezout domains) is introduced.
Journal ArticleDOI
Disturbance decoupling problem for a class of descriptor systems with delay via systems over rings
TL;DR: The problem of finding a feedback law such that disturbances do not affect the output is investigated, which relies on the possibility of using mathematical models with coefficients in a suitable ring, or systems over a ring, for studying and analysing delay differential dynamical systems.
References
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Journal ArticleDOI
Feedback system design: The fractional representation approach to analysis and synthesis
TL;DR: In this paper, the problem of designing a feedback system with prescribed properties is attacked via a fractional representation approach to feedback system analysis and synthesis, and the theory is formulated axiomatically to permit its application in a wide variety of system design problems and is extremely elementary in nature requiring no more than addition, multiplication, subtraction and inversion for its derivation even in the most general settings.
Book ChapterDOI
On Invariants, Canonical Forms and Moduli for Linear, Constant, Finite Dimensional, Dynamical Systems
TL;DR: In this paper, a linear, constant, finite dimensional dynamical system is thought of as being represented by a triple of matrices (F,G,H), where F is an n × n matrix, G an n n × m matrix, and H an p × n matrix; there are m inputs, p outputs and state space dimension is n.
Journal ArticleDOI
On an algebraic theory of systems defined by convolution operators
TL;DR: For a large class of linear continuous-time systems including delay-differential systems, an algebraic theory is presented in terms of Noetherian operator rings generated from a finite number of elements belonging to a convolution algebra of distributions.
Journal ArticleDOI
Remarks on the pole-shifting problem over rings
TL;DR: In this article, a review of known facts is given, various partial results are proved, and the case n = 2 is studied in some detail, and some partial results for n = 3 are discussed.