The spectral factorization problem for SISO distributed systems

We study spectral factorization for singlevariable linear distributed systems, viz. those modelled by transfer functions (TF’s) in the algebra B(σ0) , [11], [26], where a) stability is guaranteed with a margin |σ0| , and b) delay is allowed in the direct input-output transmission. This enables us to generalize the graph metric, [16], to such systems. The results are particularized to TF’s of exponential order, viz. those in the subalgebra F(σ0) , [14]. The theory is illustrated by an application to robust feedback control.

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