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A new stability analysis of switched systems

โœ Scribed by S.-H. Lee; T.-H. Kim; J.-T. Lim

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
304 KB
Volume
36
Category
Article
ISSN
0005-1098

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โœฆ Synopsis

In this paper, we present a new stability analysis of switched systems. We introduce the concepts of minimum/maximum holding time and redundancy as a tool for Lyapunov stability. The presented results are more practical than the existing stability analyses that introduce multiple Lyapunov functions.

๐Ÿ“œ SIMILAR VOLUMES

Stability of switched systems: a Lie-alg
Stability of switched systems: a Lie-algebraic condition
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