@misc{Zhai_Guisheng_Extended,
 author={Zhai, Guisheng and Xu, Xuping and Lin, Hai and Lui, Derong},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching.},
 abstract={When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.},
 type={artykuł},
 title={Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems},
 keywords={switched systems, common quadratic Lyapunov functions, Lie algebra, exponential stability, arbitrary switching, dwell time scheme},
}