کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1713733 | 1013247 | 2010 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Computing reachable sets for uncertain nonlinear monotone systems Computing reachable sets for uncertain nonlinear monotone systems](/preview/png/1713733.png)
We address nonlinear reachability computation for uncertain monotone systems, those for which flows preserve a suitable partial orderings on initial conditions. In a previous work Ramdani (2008) [22], we introduced a nonlinear hybridization approach to nonlinear continuous reachability computation. By analysing the signs of off-diagonal elements of system’s Jacobian matrix, a hybrid automaton can be obtained, which yields component-wise bounds for the reachable sets. One shortcoming of the method is induced by the need to use whole sets for addressing mode switching. In this paper, we improve this method and show that for the broad class of monotone dynamical systems, component-wise bounds can be obtained for the reachable set in a separate manner. As a consequence, mode switching no longer needs to use whole solution sets. We give examples which show the potentials of the new approach.
Journal: Nonlinear Analysis: Hybrid Systems - Volume 4, Issue 2, May 2010, Pages 263–278