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math.OC2026
Nonsmooth High-Order Averaging Theory with Application to Extremum Seeking Optimization and Control
Hesham Abdelfattah, Sameh A. Eisa, Peter Stechlinski
In this paper, we introduce a higher-order averaging theory and method for a wide range of nonsmooth systems that are generally characterized by the classical averaging canonical f…
math.OC2024★ 1 cited
Identifiability and Observability of Nonsmooth Systems via Taylor-like Approximations
Peter Stechlinski, Sameh Eisa, Hesham Abdelfattah
New sensitivity-based methods are developed for determining identifiability and observability of nonsmooth input-output systems. More specifically, lexicographic calculus is used t…