Authors: Billy J. Jackson, John M. Davis, Ian A. Gravagne, Robert J. Marks
Addresses: Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA. ' Department of Mathematics, Baylor University, Waco, TX 76798, USA. ' Department of Electrical and Computer Engineering, Baylor University, Waco, TX 76798, USA. ' Department of Electrical and Computer Engineering, Baylor University, Waco, TX 76798, USA
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.
Keywords: time scales; feedback control; Gramian; exponential stability; systems theory; linear state feedback stabilisation.
International Journal of Dynamical Systems and Differential Equations, 2011 Vol.3 No.1/2, pp.163 - 177
Published online: 09 Feb 2011 *Full-text access for editors Access for subscribers Purchase this article Comment on this article