Convergent Systems vs. Incremental Stability
B.S. Rüffer, N. van de Wouw, M. Mueller, Systems Control Lett. 62 (2013) 277–285.
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Journal Article
Author
Rüffer, Björn S.;
van de Wouw, Nathan;
Mueller, Markus
Department
Abstract
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.
Publishing Year
Journal Title
Systems Control Lett.
Volume
62
Page
277–285
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Cite this
Rüffer BS, van de Wouw N, Mueller M. Convergent Systems vs. Incremental Stability. Systems Control Lett. 2013;62:277–285. doi:10.1016/j.sysconle.2012.11.015
Rüffer, B. S., van de Wouw, N., & Mueller, M. (2013). Convergent Systems vs. Incremental Stability. Systems Control Lett., 62, 277–285. https://doi.org/10.1016/j.sysconle.2012.11.015
@article{Rüffer_van de Wouw_Mueller_2013, title={Convergent Systems vs. Incremental Stability}, volume={62}, DOI={10.1016/j.sysconle.2012.11.015}, journal={Systems Control Lett.}, author={Rüffer, Björn S. and van de Wouw, Nathan and Mueller, Markus}, year={2013}, pages={277–285} }
Rüffer, Björn S., Nathan van de Wouw, and Markus Mueller. “Convergent Systems vs. Incremental Stability.” Systems Control Lett. 62 (2013): 277–285. https://doi.org/10.1016/j.sysconle.2012.11.015.
B. S. Rüffer, N. van de Wouw, and M. Mueller, “Convergent Systems vs. Incremental Stability,” Systems Control Lett., vol. 62, pp. 277–285, 2013, doi: 10.1016/j.sysconle.2012.11.015.
Rüffer, Björn S., et al. “Convergent Systems vs. Incremental Stability.” Systems Control Lett., vol. 62, 2013, pp. 277–285, doi:10.1016/j.sysconle.2012.11.015.
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