3 papers
math.OC2022
Singularly Perturbed Averaging with Application to Bio-Inspired 3D Source Seeking
Mahmoud Abdelgalil, Asmaa Eldesoukey, Haithem Taha
We analyze a class of singularly perturbed high-amplitude, high-frequency oscillatory systems that arises in extremum seeking applications. We provide explicit formulas for averagi…
math.OC2022
Recursive Averaging with Application to Bio-Inspired 3D Source Seeking
Mahmoud Abdelgalil, Haithem Taha
We analyze a class of high-amplitude, high-frequency oscillatory systems in which periodicity occurs on two distinct time scales and establish the convergence of its trajectories t…
math.OC2020
A Geometric Approach to Modeling, Simulation and Control
Mahmoud Abdelgalil, Asmaa Eldesoukey, Esraa Elshabrawy +1
In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate th…