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20242026
most citedFixed-Time Input-to-State Stability for Singularly Perturbed Systems via Composite Lyapunov Functions

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math.OC2026

Stochastic Lie-Bracket Approximations for Zeroth-Order Optimization on Manifolds

Mahmoud Abdelgalil, Miroslav Krstic, Jorge I. Poveda

We propose a continuous-time algorithm for zeroth-order global optimization of smooth functions on compact manifolds that synthesizes Riemannian gradient dynamics using only object…

math.OC2026

Non-Holonomic Gradient Play: Leafwise Nash Equilibria, Stability, and Deception

Mahmoud Abdelgalil, Miroslav Krstic, Jorge I. Poveda

We study generalized learning dynamics in multi-agent systems whose joint state evolves on a manifold and whose agents act through state-dependent, potentially nonholonomic vector…