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math.OC2025
Extremum Seeking (ES) is Practically Stable Whenever Model-Based ES is Stable
Patrick McNamee, Zahra Nili Ahmadabadi, Mirslav KrstiÄ
Extremum seeking control (ESC) are optimization algorithms in continuous time, with model-based ESCs using true derivative information of the cost function and model-free ESCs util…
math.OC2024
Extremum Seeking is Stable for Scalar Maps that are Strictly but Not Strongly Convex
Patrick McNamee, Miroslav KrstiÄ, Zahra Nili Ahmadabadi
For a map that is strictly but not strongly convex, model-based gradient extremum seeking has an eigenvalue of zero at the extremum, i.e., it fails at exponential convergence. Inte…