Balanced canonical forms for minimal systems: A normalized coprime factor approach

Robust Stabilization of Nonlinear Systems via Normalized Coprime Factor Representations

Overlapping Balanced Canonical Forms for Multivariable All-Pass Systems

Normalized Coprime Factorizations for Systems in Generalized State-Space Form

This note presents a state-space algorithm for the calculation of a normalized coprime factorization of continuous-time generalized dynamical systems. It will be shown that two Riccati equations have to be solved to obtain this normalized coprime factorization.

Normalized doubly coprime factorizations for infinite-dimensional linear systems

We obtain explicit formulas for normalized doubly coprime factorizations of the transfer functions of the following class of linear systems: the input and output operators are vector-valued, but bounded, and the system is input and output stabilizable. Moreover, we give explicit formulas for the Bezout factors. Using a reciprocal approach we extend our results to a larger class where the input ...

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...