Nuclearity of Hankel operators for ultradifferentiable control systems
نویسندگان
چکیده
منابع مشابه
Nuclearity of Hankel operators for ultradifferentiable control systems
Nuclearity of the Hankel operator is a known sufficient condition for convergence of Lyapunov-balanced truncations. We show how a previous result on nuclearity of Hankel operators of systems with an analytic semigroup can be extended to systems with a semigroup of class D with p ≥ 1 (the case p = 1 being the analytic case). For semigroups that are generated by a Dunford-Schwartz spectral operat...
متن کاملOpus: University of Bath Online Publication Store Nuclearity of Hankel Operators for Ultradifferentiable Control Systems *
Nuclearity of the Hankel operator is a known sufficient condition for convergence of Lyapunov-balanced truncations. We show how a previous result on nuclearity of Hankel operators of systems with an analytic semigroup can be extended to systems with a semigroup of class D with p ≥ 1 (the case p = 1 being the analytic case). For semigroups that are generated by a Dunford-Schwartz spectral operat...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2008
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2008.04.007