State space solutions
In this chapter, we will show that for the Pritc hard-Salamonclass and the analytic class, there do exist J-spectral factors for each class satisfying the assumptions in Chapter 4, hence solving the sub-optimal Hankel norm approximation problem for these classes of infinite-dimensional systems. We will give an explicit formula for a J-spectral factor ∧ in terms of the state-space parameters (A,B,C) of the original system and we will check that it has all the properties S1-5 required in Chapter 4.
KeywordsTransfer Operator Factorization Problem Stable Part Spectral Factorization Smoothing Property
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