On null controllability of linear systems with recurrent coefficients and constrained controls |
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| Authors: | Russell Johnson Mahesh Nerurkar |
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| Institution: | (1) Department of Mathematics, University of Southern California, 90089 Los Angeles, California;(2) Department of Mathematics, Rutgers University, 08102 New Brunswick, New Jersey |
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| 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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| Keywords: | Uniform controllability recurrence dynamical systems Sacker-Sell spectrum |
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