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Limits of input-to-state stability

✍ Scribed by Fritz Colonius; Wolfgang Kliemann


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
241 KB
Volume
49
Category
Article
ISSN
0167-6911

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✦ Synopsis


The relations between attractors, input-to-state-stability, and controllability properties are discussed. In particular it is shown that loss of the attractor property under perturbations is connected with a qualitative change in the controllability properties due to a 'merger' with a control set.


πŸ“œ SIMILAR VOLUMES


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✍ J. T. Carstensen; K. Danjo; S. Yoshioka; M. Uchiyama πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 296 KB
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✍ D. NeΕ‘iΔ‡; E.D. Sontag πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 135 KB

This paper considers the problem of stabilization of linear systems for which only the magnitudes of outputs are measured. It is shown that, if a system is controllable and observable, then one can ΓΏnd a stabilizing controller, which is robust with respect to observation noise (in the ISS sense).