2 papers
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.DS2025
Observability and State Estimation for Smooth and Nonsmooth Differential Algebraic Equation Systems
Hesham Abdelfattah, Sameh A. Eisa, Peter Stechlinski
In this work, we extend the sensitivity-based rank condition (SERC) test for local observability to another class of systems, namely smooth and nonsmooth differential-algebraic equ…