A Razumikhin approach for the incremental stability of delayed nonlinear systems
A. Chaillet, A. Yu. Pogromsky, B.S. Rüffer, in: Proc. 52nd IEEE Conf. Decis. Control, 2013, pp. 1596–1601.
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Conference Paper
Author
Chaillet, Antoine;
Yu. Pogromsky, Alexander;
Rüffer, Björn S.
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Abstract
This paper provides sufficient conditions for the incremental stability of time-delayed nonlinear systems. It relies on the Razumikhin-Lyapunov approach, which consists in invoking small-gain arguments by treating the delayed state as a feedback perturbation. The results are valid for multiple delays, as well as bounded time-varying delays. We provide conditions under which the limit solution of a time-delayed nonlinear system to a periodic (resp. constant) input is itself periodic and of the same period (resp. constant). As an illustration, a specific focus is given on a class of delayed Lur’e systems.
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Proceedings Title
Proc. 52nd IEEE Conf. Decis. Control
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1596–1601
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Chaillet A, Yu. Pogromsky A, Rüffer BS. A Razumikhin approach for the incremental stability of delayed nonlinear systems. In: Proc. 52nd IEEE Conf. Decis. Control. ; 2013:1596–1601.
Chaillet, A., Yu. Pogromsky, A., & Rüffer, B. S. (2013). A Razumikhin approach for the incremental stability of delayed nonlinear systems. Proc. 52nd IEEE Conf. Decis. Control, 1596–1601.
@inproceedings{Chaillet_Yu. Pogromsky_Rüffer_2013, title={A Razumikhin approach for the incremental stability of delayed nonlinear systems}, booktitle={Proc. 52nd IEEE Conf. Decis. Control}, author={Chaillet, Antoine and Yu. Pogromsky, Alexander and Rüffer, Björn S.}, year={2013}, pages={1596–1601} }
Chaillet, Antoine, Alexander Yu. Pogromsky, and Björn S. Rüffer. “A Razumikhin Approach for the Incremental Stability of Delayed Nonlinear Systems.” In Proc. 52nd IEEE Conf. Decis. Control, 1596–1601, 2013.
A. Chaillet, A. Yu. Pogromsky, and B. S. Rüffer, “A Razumikhin approach for the incremental stability of delayed nonlinear systems,” in Proc. 52nd IEEE Conf. Decis. Control, 2013, pp. 1596–1601.
Chaillet, Antoine, et al. “A Razumikhin Approach for the Incremental Stability of Delayed Nonlinear Systems.” Proc. 52nd IEEE Conf. Decis. Control, 2013, pp. 1596–1601.
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