9 papers
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…
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…
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…
Memory-Type Null Controllability of Parabolic Equations with Moving Controls: A Geometric Characterization
Dev Prakash Jha, Raju K. George
We study memory-type null controllability for linear parabolic equations with hereditary terms and time-dependent control regions. In contrast with classical null controllability,…
Memory-Type Null Controllability of Heat Equations with Delay Effects
Dev Prakash Jha, Raju K. George
This article is devoted to the study of null controllability for evolution equations that incorporate both memory and delay effects. The problem is particularly challenging due to…
Exact Null Controllability of Non-Autonomous Conformable Fractional Semi-Linear Systems with Nonlocal Conditions
Dev Prakash Jha, Raju K. George
We study the exact null controllability of a class of non-autonomous conformable fractional semi-linear evolution systems with nonlocal initial conditions in Hilbert spaces. The an…