Modeling distributed parameter systems using Jacobi vectors

This paper discusses a method for obtaining state models for distributed parameter systems which are normally modeled by partial differential equations. The partial differential equations need not be of any particular form (other than linear), and they may possess any number of spatial dimensions. The approach is felt to have application where distributed systems are to be controlled by a finite number of discrete inputs. The modeling process is accomplished using Jacobi vectors (derived from Jacobi polynomials) which provide a framework for analysis and are the basis of the modeling process.