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,…
Observability and Null Controllability for Parabolic Systems with Delay and Memory
Dev Prakash Jha, Raju K. George
This work develops a controllability framework for parabolic evolution equations with simultaneous time-delay and memory effects. We introduce the notion of delay and memory-type n…
An Operator-Theoretic Framework for the Optimal Control Problem of Nonlinear Caputo Fractional Systems
Dev Prakash Jha, Raju K. George
This paper addresses the optimal control problem for a class of nonlinear fractional systems involving Caputo derivatives and nonlocal initial conditions. The system is reformulate…
Approximate Controllability of Fractional Evolution Equations with Nonlocal Conditions via Operator Theory
Dev Prakash Jha, Raju K George
This paper investigates the existence and uniqueness of mild solutions, as well as the approximate controllability, of a class of fractional evolution equations with nonlocal condi…
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…
Existence and uniqueness of mild solutions and evolution operators for a class of non-autonomous conformable fractional semi-linear systems and Their Exact Null Controllability
Dev Prakash Jha, Raju K George
This paper investigates the controllability of systems governed by conformable fractional order derivatives. It first establishes the existence and uniqueness of evolution operator…