General solution to systems in polynomial matrix form

摘要

Solvability and general solutions to dynamic systems in polynomial matrix descriptions are investigated. The polynomial matrix descriptions need not necessary be regular. Consistency of initial values and inputs are discussed. The characterization of the general solution for the systems in polynomial matrix descriptions has an explicit separation of proportional integral and differential terms with respect to initial values and inputs. The derivation is based on a decomposition form of a singular matrix pencil.