Orthonormal basis functions for modelling continuous-time systems

This paper studies continuous-time system model sets that are spanned by fi xed pole orthonormal bases. The nature of these bases is such as to general ise the well-known Laguerre and two-parameter Kautz bases, The contribution of the paper is to establish that the obtained model sets are complete in all of the Hardy spaces H-p(II), 1 < p < infinity,and the right half plane algebra A(II) provided that a mild condition on the choice of basis poles i s satisfied. A characterisation of how modelling accuracy is affected by po le choice, as well as an application example of flexible structure modellin g are also provided. (C) 1999 Elsevier Science B.V. All rights reserved.