In positive systems, the inputs, state variables and outputs take only non-negative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, or water and atmospheric pollution models. A variety of models having positive linear system behaviour can be found in engineering, manageme...

Structurally fixed modes of systems described by Rosenbrock's polynomial matrices" Int.Controllability of linear single-input positive discrete-time systems", Int.Spectral characterization and pole assignement for positive linear discrete-time systems" INT. 5-M.E. Valcher "Controllability and reachability criteria for discrete time positive systems" INT.Primitivity of positive matrix pairs. Alg...

The least-squares transformation of a discrete-time multivariable linear system into a desired one by convolving the first with-a polynomial system yields optimal polynomial solutions to the problems of system compensation, inversion and approximation. The polynomial coefficients are obtained from the solution to a so-called normal linear matrix equation, whose coefficients are shown to be the ...