Physical Sciences › Engineering › Control and Systems Engineering

Stability and Controllability of Differential Equations

3 papers indexed

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Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs
Karsten Bohlen · 24 June 2026
We describe a dynamical system in which a symbolic field is coupled to a geometric field via a bipartite Hilbert-Schmidt kernel. The system is fully described by a retarded functional differential equation (RFDE) on the history space, subject to Lipschitz and small gain conditions. We show that the …
Sample Complexity of Policy Gradient for Log-Growth Control
Qiuhua Pan, Yukai Shen, Liwei Zhang, Cailian Chen, Xinping Guan · 27 May 2026
We study the sample complexity of policy gradient for log-growth control -- the problem of learning, from observed state transitions, a feedback gain that optimally stabilizes a scalar linear system driven through a multiplicative-noise actuation channel. The objective $J(K) = \mathbb{E}[\log|1+BK|]…
From Adam to Adam-Like Lagrangians: Second-Order Nonlocal Dynamics
Carlos Heredia · 11 February 2026
In this paper, we derive an accelerated continuous-time formulation of Adam by modeling it as a second-order integro-differential dynamical system. We relate this inertial nonlocal model to an existing first-order nonlocal Adam flow through an $\alpha$-refinement limit, and we provide Lyapunov-based…