Weighted operator-valued function spaces applied to the stability of delay systems

This paper extends the theory of Zen spaces (weighted Hardy/Bergman on right-hand half-plane) to Hilbert-space valued case, and describes multipliers them; it is shown that methods H∞ control can therefore be extended certain weighted L2 input output spaces. Next, case retarded delay systems with operator-valued transfer functions analysed, dependence structure determined by developing an extension Walton--Marshall technique used in scalar case. The method illustrated examples.