Compactness and nuclearity of Hankel operators

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


In this chapter, we examine the relationships between the exponential (or strong) stability of certain classes of well-posed linear systems and the compactness and nuclearity properties of the Hankel operator. New suÆcient conditions for nuclearity are given for exponentially stable, regular, well-posed linear systems with an analytic semigroup. In the last section of this chapter w ewill derive a bound on the L -error of a sub-optimal Hankel norm approximant of a system with a nuclear Hankel operator.


Transfer Function Exponential Stability Strong Stability Analytic Semigroup Hankel Operator 
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© Springer-Verlag Berlin Heidelberg 2002

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