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math.OC2026
Turnpike and Sparse Optimal Control for Semiautonomous Neural ODEs
Dev Prakash Jha, Raju K. George
We study long-time optimal control of control-affine semiautonomous neural ordinary differential equations (SA-NODEs) with -regularized controls. Three results are establis…
math.OC2026
Approximation and Controllability of Nonlinear Control-Affine Systems via Semiautonomous Neural Ordinary Differential Equations
Dev Prakash Jha, Raju K. George
In this paper, we introduce controlled semiautonomous neural ordinary differential equations (controlled SA-NODEs) for the approximation and learning of nonlinear controlled dynami…
math.OC2026
Delay and Memory-Type Null Controllability for Heat Equations in Finite Dimensions
Dev Prakash Jha, Raju K. George
We study null controllability for linear heat-type systems in finite dimensions that incorporate both memory and time-delay effects. A strengthened notion of controllability, refer…