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Linear State Feedback Stabilization on Time Scales

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arxiv 0910.3034 v1 pith:22R4WGVO submitted 2009-10-16 math.OC

Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks II This is my paper · ORCID
classification math.OC
keywords discretefeedbackstatetimecontinuousgenerallinearcanonical
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For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly exponentially stable with a prescribed rate. The methods here generalize and extend Gramian-based linear state feedback control to much more general time domains, e.g. nonuniform discrete or a combination of continuous and discrete time. In conclusion, we discuss an experimental implementation of this theory.

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