# American Institute of Mathematical Sciences

May  2003, 9(3): 677-704. doi: 10.3934/dcds.2003.9.677

## On the Yakubovich frequency theorem for linear non-autonomous control processes

 1 Università di Firenze, Dipartimento di Sistemi e Informatica, Via Santa Marta 3, 50139 Firenze, Italy 2 Dipartimento di Sistemi e Informatica, Università di Firenze, 50139 Firenze, Italy 3 Universidad de Valladolid, Departamento de Matemática Aplicada, ETSII, Paseo del Cauce s/n, 47011 Valladolid, Spain

Received  December 2001 Revised  November 2002 Published  February 2003

Using methods of the theory of nonautonomous linear differential systems, namely exponential dichotomies and rotation numbers, we generalize some aspects of Yakubovich's Frequency Theorem from periodic control systems to systems with bounded uniformly continuous coefficients.
Citation: Roberta Fabbri, Russell Johnson, Carmen Núñez. On the Yakubovich frequency theorem for linear non-autonomous control processes. Discrete & Continuous Dynamical Systems - A, 2003, 9 (3) : 677-704. doi: 10.3934/dcds.2003.9.677
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