کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
752221 | 1462333 | 2014 | 5 صفحه PDF | دانلود رایگان |
• Conditions for diagonal Lyapunov–Krasovskii functional existence are given.
• The connection between diagonal L–K functionals and absolute stability is shown.
• The previous facts are extended to nonlinear and switched systems.
We consider the existence of diagonal Lyapunov–Krasovskii (L–K) functionals for positive discrete-time systems subject to time-delay. In particular, we show that the existence of a diagonal functional is necessary and sufficient for delay-independent stability of a positive linear time-delay system. We extend this result and provide conditions for the existence of diagonal L–K functionals for classes of nonlinear positive time-delay systems, which are not necessarily order preserving. We also describe sufficient conditions for the existence of common diagonal L–K functionals for switched positive systems subject to time-delay.
Journal: Systems & Control Letters - Volume 63, January 2014, Pages 63–67