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Dynamical canonical systems and their explicit solutions (1603.08709v2)
Published 29 Mar 2016 in math.DS, math.AP, and math.OC
Abstract: Dynamical canonical systems and their connections with the classical (spectral) canonical systems are considered. We construct B\"acklund-Darboux transformation and explicit solutions of the dynamical canonical systems. We study also those properties of the solutions, which are of interest in evolution and control theories.
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