Linear state feedback stabilisation on time scales Online publication date: Sat, 24-Jan-2015
by Billy J. Jackson, John M. Davis, Ian A. Gravagne, Robert J. Marks
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 3, No. 1/2, 2011
Abstract: 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 generalise 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.
Online publication date: Sat, 24-Jan-2015
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