Title :
Optimality conditions for the truncated network of the generalized discrete orthonormal basis having real poles
Author :
Malti, R. ; Maquin, D. ; Ragot, J.
Author_Institution :
Centre de Recherche en Autom. de Nancy, Vandoeuvre, France
Abstract :
This paper deals with the synthesis of optimality conditions for the truncated network of the generalized orthonormal basis in the case where all the poles belong to the set of real numbers. These conditions are brought to a very simple form, but their solutions are not trivial. They generalize the optimality conditions for the truncated Laguerre network and are very attractive in system identification, model representation, and model reduction frameworks
Keywords :
discrete time systems; filtering theory; identification; linear systems; optimisation; poles and zeros; Laguerre filters; discrete orthonormal basis; identification; linear time invariant systems; model reduction frameworks; model representation; optimality conditions; optimisation; real poles; truncated Laguerre network; Convergence; Electronic mail; Finite impulse response filter; H infinity control; Hydrogen; Network synthesis; Nonlinear equations; Reduced order systems; Sampling methods; System identification;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758665