Overlapping block-balanced canonical forms for various classes of linear systems

Overlapping Balanced Canonical Forms for Multivariable All-Pass Systems

Overlapping block-balanced canonical forms and parametrizations: the stable SISO case

The balanced canonical form and parametrization of Ober for the case of SISO stable systems are extended to blockbalanced canonical forms and related input-normal forms and parametrizations. They form an overlapping atlas of parametrizations of the manifold of stable SISO systems of given order. This extends the usefullness of these parametrizations, e.g. in gradiënt algorithms for system ident...

Canonical forms of Linear Transformations

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 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...