Bounded power signal spaces for robust control and modelling

Dr J. Partington (Dept. Mathematics, Leeds University)

With a view to performing robust control synthesis, we discuss various notions of bounded power, which present an alternative to the more familiar bounded energy (L_2) set-up, and are more appropriate for persistent signals. Some problems with the classical spaces of nonstationary signals introduced by Wiener and Marcinkiewicz are discussed; modifications are suggested, and positive and negative results are presented showing how they can be made the basis of H-infinity analysis.