Matricial decomposition of systems over rings.
Minimal degree solutions for the Bezout equation
Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs
Model matching of 2-D multi-input multi-output systems
Multiplicity of polynomials on trajectories of polynomial vector fields in
Let ξ be a polynomial vector field on with coefficients of degree d and P be a polynomial of degree p. We are interested in bounding the multiplicity of a zero of a restriction of P to a non-singular trajectory of ξ, when P does not vanish identically on this trajectory. Bounds doubly exponential in terms of n are already known ([9,5,10]). In this paper, we prove that, when n=3, there is a bound of the form . In Control Theory, such a bound can be used to give an estimate of the degree of nonholonomy...