Linear State Feedback Stabilization on Time Scales

Details Linear State Feedback Stabilization on Time Scales Linear State Feedback Stabilization on Time Scales

2009-10-16

arxiv.org/abs/0910.3034v1

Mathematics

Optimization and Control

15 pages

Scientific paper

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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