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A condition for the stability of switched nonlinear systems

โœ Scribed by Mancilla-Aguilar, J.L.


Book ID
119948272
Publisher
IEEE
Year
2000
Tongue
English
Weight
91 KB
Volume
45
Category
Article
ISSN
0018-9286

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Stability of switched systems: a Lie-alg
โœ Daniel Liberzon; Joรฃo P. Hespanha; A.Stephen Morse ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

We present a su cient condition for asymptotic stability of a switched linear system in terms of the Lie algebra generated by the individual matrices. Namely, if this Lie algebra is solvable, then the switched system is exponentially stable for arbitrary switching. In fact, we show that any family o