Robust region-of-attraction estimation

Ufuk Topcu, Andrew K. Packard, Peter Seiler, Gary J. Balas

Research output: Contribution to journalArticlepeer-review

95 Scopus citations


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.

Original languageEnglish (US)
Article number5337881
Pages (from-to)137-142
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number1
StatePublished - Jan 2010

Bibliographical note

Funding 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.


  • Branch-and-bound
  • Parameter uncertainty
  • Region-of-attraction (ROA)


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