Title :
On formal power series representations for uncertain systems
Author_Institution :
Dept. of Gen. Eng., Illinois Univ., Urbana, IL, USA
fDate :
2/1/2001 12:00:00 AM
Abstract :
The concept of minimality as developed for uncertain and multidimensional systems represented by linear fractional transformations (LFTs) is related to realization theory results for formal power series. We discuss the relationship between the notions of minimality for LFT and series realizations, and present a method for obtaining one type of minimal realization from the opposing type. An extension of an existing minimality result for formal power series to the multi-input-multi-output (MIMO) case is also presented
Keywords :
Hankel matrices; MIMO systems; multidimensional systems; realisation theory; series (mathematics); state-space methods; uncertain systems; formal power series representations; linear fractional transformations; minimality; multi-input-multi-output systems; realization theory; series realizations; Adaptive filters; Additive noise; Filtering algorithms; Least squares approximation; Resonance light scattering; Robustness; Signal processing algorithms; State estimation; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
