We propose a method to compute invariant subsets of the region-of-attraction for asymptotically stable equilibrium points of polynomial dynamical systems with bounded parametric uncertainty. Parameter-independent Lyapunov functions are used to characterize invariant subsets of the robust region-of-attraction. A branch-and-bound type refinement procedure reduces the conservatism. We demonstrate the method on an example from the literature and uncertain controlled short-period aircraft dynamics.
Bibliographical noteFunding Information:
Manuscript received July 14, 2008; revised February 01, 2009 and July 22, 2009. First published November 17, 2009; current version published January 13, 2010. This work was supported by the Air Force Office of Scientific Research, USAF, under Grant FA9550-05-1-0266. Recommended by Associate Editors S. Selikovsky and G. Chesi.
- Parameter uncertainty
- Region-of-attraction (ROA)