Abstract.
The effect of input perturbations on the stability properties of nonlinear time-varying delay differential equations is studied from a trajectory-based point of view. Thereby the semi-global stability results from [MSR2], where a Lyapunov approach is taken, are broadened to a much larger class of delay differential equations. Applications to the stabilization of partially linear cascade systems with delay using partial state feedback are briefly outlined.
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Date received: January 9, 2001. Date revised: April 15, 2002.
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ID="*"This paper presents research results of the Belgian programme on Interuniversity Poles of Attraction, initiated by the Belgian State, Prime Minister's Office for Science, Technology and Culture (IUAP P4/02). The scientific responsibility rests with its authors. Luc Moreau is a Postdoctoral Fellow of the Fund for Scientific Research—Flanders (Belgium) (F.W.O.-Vlaanderen) and a recipient of an Honorary Fellowship of the Belgian American Educational Foundation. Part of this work was done while Luc Moreau was supported by a BOF grant of the Ghent University.
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Moreau, L., Michiels, W., Aeyels, D. et al. Robustness of Nonlinear Delay Equations with Respect to Input Perturbations: a Trajectory-Based Approach. Math. Control Signals Systems 15, 316–335 (2002). https://doi.org/10.1007/s004980200013
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DOI: https://doi.org/10.1007/s004980200013