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
R. Fabbri
, S.T. Impram
and R. Johnson
Dipartimento di Sistemi e Informatica, Università di Firenze, Via di Santa Marta 3, Firenze 50139, Italy
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.