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Showing papers on "Aizerman's conjecture published in 2008"


Journal ArticleDOI
TL;DR: It is proved that for retarded systems with a single delay the Aizerman conjecture is true, and for systems with multiple delays, a delay-dependent class of systems is found, for which the AIZerman conjectureIs true.
Abstract: This paper considers the Aizerman problem for second-order systems with delays. It is proved that for retarded systems with a single delay the Aizerman conjecture is true. For systems with multiple delays, a delay-dependent class of systems is found, for which the Aizerman conjecture is true. The proof is based on the Popov's frequency-domain criterion for absolute stability.

16 citations