کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1713737 | 1013247 | 2010 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Uniform stability and ISS of discrete-time impulsive hybrid systems Uniform stability and ISS of discrete-time impulsive hybrid systems](/preview/png/1713737.png)
This paper studies the uniform stability and ISS (input-to-state stability) properties for DIHS (discrete-time impulsive hybrid systems) via comparison approach. By employing the vector-value function, the comparison principle is established for DIHS with external inputs. Then the comparison principle is used to establish the uniform stability and ISS criteria for DIHS, respectively. Moreover, regions in which the uniform stability and ISS properties can be guaranteed are estimated. As applications, the comparison principle and the results of uniform stability and ISS are used to study the robustly globally uniformly exponential stability for uncertain DIHS and exponential ISS of DIHS. It is shown that impulses contribute to stability and ISS properties for a discrete-time system which has no such properties. Two examples with numerical simulations are worked out for illustration.
Journal: Nonlinear Analysis: Hybrid Systems - Volume 4, Issue 2, May 2010, Pages 319–333