{"status":"public","year":"2013","author":[{"full_name":"Chaillet, Antoine","last_name":"Chaillet","first_name":"Antoine"},{"first_name":"Alexander","full_name":"Yu. Pogromsky, Alexander","last_name":"Yu. Pogromsky"},{"first_name":"Björn S.","last_name":"Rüffer","full_name":"Rüffer, Björn S."}],"abstract":[{"text":"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.","lang":"eng"}],"department":[{"_id":"263"}],"title":"A Razumikhin approach for the incremental stability of delayed nonlinear systems","_id":"40779","citation":{"apa":"Chaillet, A., Yu. Pogromsky, A., &#38; Rüffer, B. S. (2013). A Razumikhin approach for the incremental stability of delayed nonlinear systems. <i>Proc. 52nd IEEE Conf. Decis. Control</i>, 1596–1601.","short":"A. Chaillet, A. Yu. Pogromsky, B.S. Rüffer, in: Proc. 52nd IEEE Conf. Decis. Control, 2013, pp. 1596–1601.","chicago":"Chaillet, Antoine, Alexander Yu. Pogromsky, and Björn S. Rüffer. “A Razumikhin Approach for the Incremental Stability of Delayed Nonlinear Systems.” In <i>Proc. 52nd IEEE Conf. Decis. Control</i>, 1596–1601, 2013.","ieee":"A. Chaillet, A. Yu. Pogromsky, and B. S. Rüffer, “A Razumikhin approach for the incremental stability of delayed nonlinear systems,” in <i>Proc. 52nd IEEE Conf. Decis. Control</i>, 2013, pp. 1596–1601.","mla":"Chaillet, Antoine, et al. “A Razumikhin Approach for the Incremental Stability of Delayed Nonlinear Systems.” <i>Proc. 52nd IEEE Conf. Decis. Control</i>, 2013, pp. 1596–1601.","bibtex":"@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} }","ama":"Chaillet A, Yu. Pogromsky A, Rüffer BS. A Razumikhin approach for the incremental stability of delayed nonlinear systems. In: <i>Proc. 52nd IEEE Conf. Decis. Control</i>. ; 2013:1596–1601."},"user_id":"43497","date_created":"2023-01-30T11:51:51Z","page":"1596–1601","publication":"Proc. 52nd IEEE Conf. Decis. Control","date_updated":"2023-01-30T11:59:47Z","type":"conference"}