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.
On the Yakubovich Frequency Theorem for Linear Non-Autonomous Control Processes / R. FABBRI; R. JOHNSON; C. NUNEZ. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 9:(2003), pp. 677-704. [10.3934/dcds.2003.9.677]
On the Yakubovich Frequency Theorem for Linear Non-Autonomous Control Processes
FABBRI, ROBERTA;JOHNSON, RUSSELL ALLAN;
2003
Abstract
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.
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