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A solvable Lie algebra condition for stability of linear multidimensional systems

โœ Scribed by Tianguang Chu; Cishen Zhang; Wang, L.


Book ID
118229981
Publisher
IEEE
Year
2006
Tongue
English
Weight
187 KB
Volume
51
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