STATE-EQUATIONS AND DECOMPOSITION INTO LAGUERRE FUNCTIONS

For a linear system, one establishes a connection between the coeffici ents of the decomposition into Laguerre functions of the inputs and th e outputs of the system. When the system is modelled by a state equati on, it is showed that the two series are related through a state equat ion whose matrices are depending of those of the state equations of th e system. The new state representation may be used for analysing linea r dynamic systems. (C) 1996 Published by Elsevier Science Ltd