3 papers
math.OC2026
Higher-order Lie bracket approximation and averaging of control-affine systems with application to extremum seeking
Sameer Pokhrel, Sameh A. Eisa
This paper provides a rigorous derivation for what is known in the literature as the Lie bracket approximation of control-affine systems in a more general and sequential framework…
math.OC2025
Extremum Seeking with High-Order Lie Bracket Approximations: Achieving Exponential Decay Rate
Victoria Grushkovskaya, Sameh A. Eisa
This paper focuses on the further development of the Lie bracket approximation approach for extremum seeking systems. Classical results in this area provide extremum seeking algori…
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…