General solution to systems in polynomial matrix form

Solvability and general solutions to dynamic systems in polynomial matrix d escriptions are investigated. The polynomial matrix descriptions need not n ecessarily be regular. Consistency of initial Values and inputs are discuss ed. The characterization of the general solution for the systems in polynom ial matrix descriptions has an explicit separation of proportional, integra l and differential terms with respect to initial values and inputs. The der ivation is based on a decomposition form of a singular matrix pencil.