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LMI for Stability a...
LMI for Stability and Robustness of Hybrid Systems
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- Pettersson, Stefan, 1969 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Lennartson, Bengt, 1956 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 1997
- 1997
- English.
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In: Proc. 1997 American Control Conference, Albuquerque, New Mexico,JUN 04-06. ; , s. 1714-18
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Abstract
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- This paper presents results for stability and robustness of hybrid systems consisting of nonlinear subsystems. Present stability results that are extensions of classical Lyapunov theory are restricted to certain kinds of hybrid systems. For example, it is required that all subsystems have the same equilibrium point. In this paper these results are generalized, but more importantly, it is shown how Lyapunov functions for hybrid systems can be solved by linear matrix inequalities (LMI). Furthermore, it is shown how uncertainties around the nominal switch sets can be handled by introducing acceptable switch regions as additional stability conditions. The theory is illustrated by an example.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Publication and Content Type
- kon (subject category)
- ref (subject category)
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