{"doi":"10.1016/j.sysconle.2012.11.015","page":"277–285","type":"journal_article","date_updated":"2023-01-30T11:59:49Z","publication":"Systems Control Lett.","status":"public","intvolume":"        62","year":"2013","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"}],"abstract":[{"lang":"eng","text":"Two similar stability notions are considered; one is the long established notion of convergent systems, the other is the younger notion of incremental stability. Both notions require that any two solutions of a system converge to each other. Yet these stability concepts are different, in the sense that none implies the other, as is shown in this paper using two examples. It is shown under what additional assumptions one property indeed implies the other. Furthermore, this paper contains necessary and sufficient characterizations of both properties in terms of Lyapunov functions."}],"title":"Convergent Systems vs. Incremental Stability","_id":"40782","department":[{"_id":"263"}],"volume":62,"user_id":"43497","citation":{"mla":"Rüffer, Björn S., et al. “Convergent Systems vs. Incremental Stability.” <i>Systems Control Lett.</i>, vol. 62, 2013, pp. 277–285, doi:<a href=\"https://doi.org/10.1016/j.sysconle.2012.11.015\">10.1016/j.sysconle.2012.11.015</a>.","ama":"Rüffer BS, van de Wouw N, Mueller M. Convergent Systems vs. Incremental Stability. <i>Systems Control Lett</i>. 2013;62:277–285. doi:<a href=\"https://doi.org/10.1016/j.sysconle.2012.11.015\">10.1016/j.sysconle.2012.11.015</a>","ieee":"B. S. Rüffer, N. van de Wouw, and M. Mueller, “Convergent Systems vs. Incremental Stability,” <i>Systems Control Lett.</i>, vol. 62, pp. 277–285, 2013, doi: <a href=\"https://doi.org/10.1016/j.sysconle.2012.11.015\">10.1016/j.sysconle.2012.11.015</a>.","apa":"Rüffer, B. S., van de Wouw, N., &#38; Mueller, M. (2013). Convergent Systems vs. Incremental Stability. <i>Systems Control Lett.</i>, <i>62</i>, 277–285. <a href=\"https://doi.org/10.1016/j.sysconle.2012.11.015\">https://doi.org/10.1016/j.sysconle.2012.11.015</a>","bibtex":"@article{Rüffer_van de Wouw_Mueller_2013, title={Convergent Systems vs. Incremental Stability}, volume={62}, DOI={<a href=\"https://doi.org/10.1016/j.sysconle.2012.11.015\">10.1016/j.sysconle.2012.11.015</a>}, journal={Systems Control Lett.}, author={Rüffer, Björn S. and van de Wouw, Nathan and Mueller, Markus}, year={2013}, pages={277–285} }","short":"B.S. Rüffer, N. van de Wouw, M. Mueller, Systems Control Lett. 62 (2013) 277–285.","chicago":"Rüffer, Björn S., Nathan van de Wouw, and Markus Mueller. “Convergent Systems vs. Incremental Stability.” <i>Systems Control Lett.</i> 62 (2013): 277–285. <a href=\"https://doi.org/10.1016/j.sysconle.2012.11.015\">https://doi.org/10.1016/j.sysconle.2012.11.015</a>."},"date_created":"2023-01-30T11:51:51Z"}