HIGHLIGHTS
- What: The authors propose to study the average system presented via Fourier series arguments. The authors show that the average system trajectories converge to a neighbourhood of the minimiser. Third and final, the authors show that if the cost function is globally Lipschitz and under certain regularity conditions on the average system, the investigated ES scheme makes the global minimiser practically stable with a global domain of attraction. The authors show that the ES scheme applicability can be extended to non strictly convex cost functions via averaging analyses, which are not based on Taylor`s arguments.
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