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math.DS2021
Existence of complete Lyapunov functions with prescribed orbital derivative
Peter Giesl, Sigurdur Hafstein, Stefan Suhr
Complete Lyapunov functions for a dynamical system, given by an autonomous ordinary differential equation, are scalar-valued functions that are strictly decreasing along orbits out…
math.OC2021
A subgradient algorithm for data-rate optimization in the remote state estimation problem
Christoph Kawan, Sigurdur Hafstein, Peter Giesl
In the remote state estimation problem, an observer tries to reconstruct the state of a dynamical system at a remote location, where no direct sensor measurements are available. Th…