Convergent systems vs. incremental stability
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 t...
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| Veröffentlicht in: | Systems & control letters 2013-03, Vol.62 (3), p.277-285 |
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| container_title | Systems & control letters |
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| creator | Rüffer, Björn S. van de Wouw, Nathan Mueller, Markus |
| description | 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. |
| doi_str_mv | 10.1016/j.sysconle.2012.11.015 |
| format | Article |
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| subjects | Control systems Convergent systems Converse Lyapunov result Incremental stability Lyapunov functions Stability Time-varying nonlinear systems |
| title | Convergent systems vs. incremental stability |
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