{"department":[{"_id":"263"}],"type":"conference","citation":{"ama":"Rüffer BS, van de Wouw N, Mueller M. From convergent dynamics to incremental stability. In: <i>Proc. 51st IEEE Conf. Decis. Control</i>. ; 2012:2958–2963.","bibtex":"@inproceedings{Rüffer_van de Wouw_Mueller_2012, place={Maui, Hawaii, USA}, title={From convergent dynamics to incremental stability}, booktitle={Proc. 51st IEEE Conf. Decis. Control}, author={Rüffer, Björn S. and van de Wouw, Nathan and Mueller, Markus}, year={2012}, pages={2958–2963} }","ieee":"B. S. Rüffer, N. van de Wouw, and M. Mueller, “From convergent dynamics to incremental stability,” in <i>Proc. 51st IEEE Conf. Decis. Control</i>, 2012, pp. 2958–2963.","short":"B.S. Rüffer, N. van de Wouw, M. Mueller, in: Proc. 51st IEEE Conf. Decis. Control, Maui, Hawaii, USA, 2012, pp. 2958–2963.","apa":"Rüffer, B. S., van de Wouw, N., &#38; Mueller, M. (2012). From convergent dynamics to incremental stability. <i>Proc. 51st IEEE Conf. Decis. Control</i>, 2958–2963.","mla":"Rüffer, Björn S., et al. “From Convergent Dynamics to Incremental Stability.” <i>Proc. 51st IEEE Conf. Decis. Control</i>, 2012, pp. 2958–2963.","chicago":"Rüffer, Björn S., Nathan van de Wouw, and Markus Mueller. “From Convergent Dynamics to Incremental Stability.” In <i>Proc. 51st IEEE Conf. Decis. Control</i>, 2958–2963. Maui, Hawaii, USA, 2012."},"user_id":"43497","year":"2012","author":[{"first_name":"Björn S.","last_name":"Rüffer","full_name":"Rüffer, Björn S."},{"first_name":"Nathan","last_name":"van de Wouw","full_name":"van de Wouw, Nathan"},{"last_name":"Mueller","full_name":"Mueller, Markus","first_name":"Markus"}],"date_created":"2023-01-30T11:51:55Z","status":"public","_id":"40804","abstract":[{"text":"This paper advocates that the convergent systems property and incremental stability are two intimately related though different properties. Sufficient conditions for the convergent systems property usually rely upon first showing that a system is incrementally stable, as e.g. in the celebrated Demidovich condition. However, in the current paper it is shown that incremental stability itself does not imply the convergence property, or vice versa. Moreover, characterizations of both properties in terms of Lyapunov functions are given. Based on these characterizations, it is established that the convergence property implies incremental stability for systems evolving oncompact sets, and also when a suitable uniformity condition is satisfied.","lang":"eng"}],"publication":"Proc. 51st IEEE Conf. Decis. Control","title":"From convergent dynamics to incremental stability","date_updated":"2023-01-30T11:58:31Z","place":"Maui, Hawaii, USA","page":"2958–2963"}