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Redheffer's theorem revisited
Authors:Vlad Ionescu
Institution:(1) Faculty of Automatic Control and Computers, University Polytechnica Bucharest, 3 Emile Zola, RO-71272 Bucharest, Romania
Abstract:Based on the Ben Artzi-Gohberg result concerning the equivalence between the invertibility of theL 2-operator 
$$(Tx)(t) = \dot x(t) - A(t)x(t)$$
and the exponential dichotomic evolution defined byA(t), the time-varying counterpart of the Redheffer theorem is considered under relaxed conditions.
Keywords:93 C 35  93 C 50  93 C 55
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