Wavelet series identification of linear infinite-dimensional systems
YU Wen-huan · Systems engineering and electronics · 2006
Orthonomal scaling functions and their Laplace transforms are introduced,and it is proved that transformed scaling functions are still orthonomal in the Hardy space H_2.Moreover,the asymptotic space(w~(2,s)(R)) is characterized.Furthermore,the transfer function and the β-input-output stability of an infinite-dimensional,linear,time-invariant system are presented. Finally the transfer function is approximated by use of the transformed orthonomal wavelet series.