#control theory
7 papers · 1 filter
Exact Lagrangian Realization and Robust Strain Sensing in Incompressible Flow
Hao Huang
The paper proves that any matrix in SL(3,R) can be realized as the one‑particle deformation gradient of periodic solutions to the three‑dimensional Euler and Navier–Stokes equation…
DD4AO control law for RISTRETTO: robustness, real-time performance, and on-sky validation with PAPYRUS
Isaac Dinis, Muskan Schinde, Nicolas Blind +11
The paper presents the DD4AO frequency‑domain, data‑driven adaptive optics controller, its implementation in the RISTRETTO instrument, and on‑sky validation with the PAPYRUS system…
Lyapunov Exponent as Physics-Informed Dense Reward: RL Discovery of Stabilization Beyond the Kapitza Pendulum
Slava Andrejev
The paper proposes using the Lyapunov characteristic exponent as a dense reward in reinforcement learning to stabilize an inverted pendulum, enabling the agent to discover both the…
Design and Analysis of a Higher-Order Enhanced Phase-Locked Loop via the Ahmadi-Chaudhry-Zhang Newton Framework
Shafayat Abrar
The paper introduces a higher-order enhanced phase-locked loop (EPLL) using the Ahmadi‑Chaudhry‑Zhang Newton framework, applying a continuous‑time higher‑order Newton flow to impro…
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces
Vincent Boulard, Amaury Hayat, Emmanuel Trélat
The paper proves that the exponential small‑time factor e^{-γ/t} in weighted observability inequalities for heat equations is dictated by the geometry of the observation set, estab…
Uniform controllability for the wave equation with large potential
Arthur Yax
The paper studies how the cost of controlling a wave equation on a compact Riemannian manifold depends on a large, time‑independent potential, introducing a modified geometric cont…