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State-space and multivariable theory

H. H. Rosenbrock
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The article was published on 1970-01-01 and is currently open access. It has received 1437 citations till now. The article focuses on the topics: State space & Control theory.

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Journal ArticleDOI

A survey of linear singular systems

Frank L. Lewis
- 01 Mar 1986 - 
TL;DR: In this paper, a brief historical review of linear singular systems is presented, followed by a survey of results on their solution and properties, and the frequency domain and time domain approaches are discussed together to sketch an overall picture of the current status of the theory.
Journal ArticleDOI

Paradigms and puzzles in the theory of dynamical systems

Jan C. Willems
- 01 Mar 1991 - 
TL;DR: In this article, a self-contained exposition is given of an approach to mathematical models, in particular to the theory of dynamical systems, which leads to a new view of the notions of controllability and observability, and of the interconnection of systems.
Journal ArticleDOI

The robust control of a servomechanism problem for linear time-invariant multivariable systems

Edward J. Davison
- 01 Feb 1976 - 
TL;DR: In this paper, it was shown that there is a robust controller for a linear, time-invariant, multivariable system (plant) that asymptotic tracking/regulation occurs independent of input disturbances and arbitrary perturbations in the plant parameters of the system.
Journal ArticleDOI

Doubly-indexed dynamical systems: State-space models and structural properties

Ettore Fornasini, +1 more
- 01 Dec 1978 - 
TL;DR: Doubly-indexed dynamical systems provide a state space realization of two-dimensional filters which includes previous state models, and algebraic criteria for testing structural properties (reachability, observability, internal stability) are introduced.
Book

Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory

Dennis S. Bernstein
TL;DR: This book brings together a vast body of results on matrix theory for easy reference and immediate application with hundreds of identities, inequalities, and matrix facts stated rigorously and clearly.