International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 16, Pages 1027-1041
doi:10.1155/S0161171203201095
On a criterion of Yakubovich type for the absolute stability of nonautonomous control processes
Dipartimento di Sistemi e Informatica, Università di Firenze, Via di Santa Marta 3, Firenze 50139, Italy
Received 21 January 2002
Copyright © 2003 R. Fabbri et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We generalize a criterion of Yakubovich for the absolute
stability of control processes with periodic coefficients to the
case when the coefficients are bounded and uniformly continuous
functions.