Kazunori Yasuda

TL;DR: A class of switching laws is proposed so that the entire switched system is exponentially stable with a desired stability margin and it is shown quantitatively that, when norms of the perturbations are small, the solutions of the switched systems converge to the origin exponentially under the same switching laws.

TL;DR: This paper investigates the disturbance attenuation properties of time-controlled switched systems consisting of several linear time-invariant subsystems by using an average dwell time approach incorporated with a piecewise Lyapunov function and shows that if the total activation time of unstable subsystems is relatively small compared with that of the Hurwitz stable subsystems, then a reasonable weighted disturbance attenuations level is guaranteed.

TL;DR: In this article, the authors study the stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems using an average dwell time approach and derive a piecewise Lyapunov function for the switched system subjected to the switching law.

TL;DR: In this article, the authors investigated the stability of a time-controlled switched system consisting of several linear discrete-time subsystems and showed that the system is exponentially stable if the average dwell time is chosen sufficiently large and the total activation time ratio between Schur stable and unstable subsystems is not smaller than a specified constant.

TL;DR: In this paper, the stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems are investigated by using piecewise Lyapunov functions incorporated with an average dwell time approach.