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EnglishThis paper states new sufficient conditions for the exponential stability of linear time-varying (LTV) systems of the form $dot x(cdot) = A(t) x(t)$. The approach proposed derives and uses the notion of perturbed frozen time (PFT) form that can be associated to any LTV system. Exploiting the Bellman-Gronwall lemma, relaxed stability conditions are then stated in terms of "average" parameter variations. Salient features of the approach are: pointwise stability of $A(cdot)$ is not required, $|dot A(cdot)|$ may not be bounded, the stability conditions also apply to uncertain systems. The approach is illustrated by numerical examples.
| Titolo: | Relaxed conditions for the exponential stability of a class of linear time-varying systems |
| Autori: | |
| Data di pubblicazione: | 2009 |
| Rivista: | |
| Abstract: | This paper states new sufficient conditions for the exponential stability of linear time-varying (LTV) systems of the form $dot x(cdot) = A(t) x(t)$. The approach proposed derives and uses the notion of perturbed frozen time (PFT) form that can be associated to any LTV system. Exploiting the Bellman-Gronwall lemma, relaxed stability conditions are then stated in terms of "average" parameter variations. Salient features of the approach are: pointwise stability of $A(cdot)$ is not required, $|dot A(cdot)|$ may not be bounded, the stability conditions also apply to uncertain systems. The approach is illustrated by numerical examples. |
| Handle: | http://hdl.handle.net/11566/36772 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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