Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions
نویسندگان
چکیده
منابع مشابه
Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions
We present a stability criterion for switched nonlinear systems which involves Lie brackets of the individual vector fields but does not require that these vector fields commute. A special case of the main result says that a switched system generated by a pair of globally asymptotically stable nonlinear vector fields whose third-order Lie brackets vanish is globally uniformly asymptotically sta...
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We present a suucient 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 of linear systems satisfying this condition possesses a quadratic common Lyapunov function. We als...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2006
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2005.04.011