Abstract
Given a family of time-dependent linear control processes, we study conditions under which local null controllability implies global null controllability. This is done by employing methods of dynamical systems and the Sacker-Sell spectral theory. We show that the above implication holds “almost surely” for recurrent families provided the spectrum of the associated linear system is contained in (−∞,0].
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Johnson, R., Nerurkar, M. On null controllability of linear systems with recurrent coefficients and constrained controls. J Dyn Diff Equat 4, 259–273 (1992). https://doi.org/10.1007/BF01049388
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DOI: https://doi.org/10.1007/BF01049388