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math.OC2016
Region of Attraction Estimation Using Invariant Sets and Rational Lyapunov Functions
Giorgio Valmorbida, James Anderson
This work addresses the problem of estimating the region of attraction (RA) of equilibrium points of nonlinear dynamical systems. The estimates we provide are given by positively i…
math.OC2016
On Existence of Solutions to Structured Lyapunov Inequalities
Aviar Sootla, James Anderson
In this paper, we derive sufficient conditions on drift matrices under which block-diagonal solutions to Lyapunov inequalities exist. The motivation for the problem comes from a re…