On symmetric rational transfer functions
Reads0
Chats0
TLDR
In this article, a detailed study of symmetric transfer functions is presented, and a detailed analysis of transfer functions can be found in Section 5.1.1]...About:
This article is published in Linear Algebra and its Applications.The article was published on 1983-04-01 and is currently open access. It has received 87 citations till now.read more
Citations
More filters
Journal ArticleDOI
The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
Book ChapterDOI
Principal component analysis of flexible systems--Open-loop case
TL;DR: In this paper, a generic class of flexible systems, characterized by finitely many lightly damped harmonic oscillators, is analyzed by means of the "open-loop principal component analysis", that is, singular value analysis and Gramian balancing.
Journal ArticleDOI
LQG balancing and reduced LQG compensation of symmetric passive systems
TL;DR: In this article, a technique for balancing a system in a closed-loop fashion is developed, which is referred to as "LQG balancing", for it assumes that the system to be balanced is closed up with a standard LQG feedback loop.
Journal ArticleDOI
Model reduction for state-space symmetric systems
TL;DR: In this paper, the model reduction problem for state-space symmetric systems is investigated, and it is shown that several model reduction methods, such as balanced truncations, balanced truncation which preserves the DC gain, optimal and sub-optimal Hankel norm approximations, inherit the state space symmetric property.
References
More filters
Journal ArticleDOI
A scaling theory for linear systems
TL;DR: In this paper, the authors develop a theory of scaling for rational functions in terms of transformation groups and identify two different four-parameter scaling groups which play natural roles in studying linear systems and investigate the effect of scaling on Fisher information and related statistical measures.
Journal ArticleDOI
Linear feedback via polynomial models
TL;DR: This paper uses the theory of polynomial models to study state feedback in a way which emphasizes both the module theoretic aspects as well as the state space point of view.
Journal ArticleDOI
On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problem
TL;DR: In this paper, the authors give simple and elementary proofs of the two classical results of Fujiwara on the solution of the well-known Routh-Hurwitz and Schur-Cohn problems.
Journal ArticleDOI
An elementary proof of the stability criterion of Liénard and Chipart
TL;DR: In this paper, an alternative proof via matrix equations was given for the stability criterion of Lienard and Chipart, which is simple and elementary and can be used for any stability criterion.