Canonical forms for linear systems

Canonical Forms for BiHamiltonian Systems

Dedicated to the Memory of Jean-Louis Verdier BiHamiltonian systems were rst deened in the fundamental paper of Magri, 5], which deduced the integrability of many soliton equations from the fact that they could be written in Hamiltonian form in two distinct ways. More recently, the classical completely integrable Hamiltonian systems of ordinary diierential equations, such as the Toda lattice an...

Canonical forms of Linear Transformations

Canonical Forms of Singular 1d and 2d Linear Systems

The paper consists of two parts. In the first part, new canonical forms are defined for singular 1D linear systems and a procedure to determine nonsingular matrices transforming matrices of singular systems to their canonical forms is derived. In the second part new canonical forms of matrices of the singular 2D Roesser model are defined and a procedure for determining realisations in canonical...

On canonical forms of ring-linear codes

This work presents an algorithm for the computation of canonical forms of linear codes over arbitrary finite chain rings under the action of the linear isometry group. It is a generalization of a previous work by the author on the canonization of linear codes over finite fields. The algorithm is based on the ideas of partition refinements and it will compute the automorphism group of the code a...

Canonical forms for positive discrete-time linear control systemsø

In this paper, the properties of reachability, controllability and essential reachability of positive discrete-time linear control systems are studied. These properties are characterized in terms of the directed graph of the state matrix. From these characterizations canonical forms of those properties are deduced. © 2000 Published by Elsevier Science Inc. All rights reserved.