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math.DS2023★ 3 cited
Sufficient Stability Conditions for a Class of Switched Systems with Multiple Steady States
Jacopo Piccini, Elias August, Sigurdur Hafstein +1
In this paper, we present a novel approach to determine the stability of switched linear and nonlinear systems using Sum of Squares optimisation. Particularly, we use Sum of Square…
math.DS2022★ 2 cited
Finding positively invariant sets and proving exponential stability of limit cycles using Sum-of-Squares decompositions
Elias August, Mauricio Barahona
The dynamics of many systems from physics, economics, chemistry, and biology can be modelled through polynomial functions. In this paper, we provide a computational means to find p…