On the decoupling of a class of linear functional systems
Mohamed Salah Boudellioua · Applied Mathematical Sciences · 2014
Multivariate polynomial matrices arise from the treatment of functional linear systems such as systems described by partial differential equations, delay-differential equations or linear multidimensional discrete equations. In this paper we present conditions under which a class of multivariate polynomial matrices is equivalent to a block diagonal form. The conditions correspond to the decomposition of the associated linear systems of functional equations. The constructive method which can be easily implemented on a computer algebra system is illustrated by an example. Mathematics Subject Classification: 93C05, 93B11, 34C20, 68W30, 13P05