Discussion On: 'input-to-output Stability For Systems Described By Retarded Functional Differential Equations'

摘要

The paper develops tools and notions for systems described by Retarded Functional Differential Equations (RFDEs), extending corresponding notions and results concerning the nonlinear finite-dimensional case. The work constitutes a continuation of the paper "Global Output Stability for Systems Described by Retarded Functional Differential Equations: Lyapu-nov Characterizations" by same authors and is going to appear in this journal. The paper provides characterizations of various notions of Input-to-Output Stability (IOS) for uncertain systems with delays. Moreover, Razumikhin-type sufficient conditions for IOS and Robust Global Asymptotic Output Stability are provided (inspired by the results in [7]). The methodology for the establishment of the necessary and sufficient conditions for IOS is related to the methodologies adopted in [2-6], as well as to the Lyapunov characterizations presented in the EJC paper of the same authors mentioned earlier.