کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844814 | 908618 | 2006 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Analysis and design of switched normal systems Analysis and design of switched normal systems](/preview/png/844814.png)
In this paper, we study the stability property for a class of switched linear systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time ones. We show that when all the continuous-time subsystems are Hurwitz stable and all the discrete-time subsystems are Schur stable, a common quadratic Lyapunov function exists for the subsystems and thus the switched system is exponentially stable under arbitrary switching. We show that when unstable subsystems are involved, for a desired decay rate of the system, if the activation time ratio between stable subsystems and unstable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 65, Issue 12, 15 December 2006, Pages 2248–2259