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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

Received 21 January 2002

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.