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.
โฆ LIBER โฆ
On characterizations of the input-to-state stability property
โ Scribed by Eduardo D. Sontag; Yuan Wang
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 582 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
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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 รฟnd a stabilizing controller, which is robust with respect to observation noise (in the ISS sense).