Stability and Controllability of Differential Equations

Neueste Paper

• Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs

  Karsten Bohlen · 24. Juni 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. Mai 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. Februar 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…