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In this paper an overview on polynomial based analysis methods for application to robust stability of linear systems subject to uncertain parameters is presented. A comparison among the most important Kharitonov type approaches proposed in literature and their applicability to the flight control law clearance problem of highly augmented aircraft is also discussed. A novel algorithm is then proposed,...
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...
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