کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
697065 | 890356 | 2008 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Local stability analysis using simulations and sum-of-squares programming Local stability analysis using simulations and sum-of-squares programming](/preview/png/697065.png)
The problem of computing bounds on the region-of-attraction for systems with polynomial vector fields is considered. Invariant subsets of the region-of-attraction are characterized as sublevel sets of Lyapunov functions. Finite-dimensional polynomial parametrizations for Lyapunov functions are used. A methodology utilizing information from simulations to generate Lyapunov function candidates satisfying necessary conditions for bilinear constraints is proposed. The suitability of Lyapunov function candidates is assessed solving linear sum-of-squares optimization problems. Qualified candidates are used to compute invariant subsets of the region-of-attraction and to initialize various bilinear search strategies for further optimization. We illustrate the method on small examples from the literature and several control oriented systems.
Journal: Automatica - Volume 44, Issue 10, October 2008, Pages 2669–2675