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State space solutions

Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 277)

Abstract

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.

Keywords

Transfer Operator Factorization Problem Stable Part Spectral Factorization Smoothing Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

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