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math.OC2026

A Sequential Quadratic Programming Perspective on Optimal Control

Abhijeet, Suman Chakravorty

This paper investigates the performance of Newton's method, iterative Linear Quadratic Regulator (iLQR), and Differential Dynamic Programming (DDP) in solving discrete-time optimal…

math.OC2026

An Optimal Solution to Infinite Horizon Nonholonomic and Discounted Nonlinear Control Problems

Mohamed Naveed Gul Mohamed, Abhijeet, Aayushman Sharma +2

This paper considers the infinite horizon optimal control problem for nonlinear systems. Under the condition of nonlinear controllability of the system to any terminal set containi…

math.OC2026

Safe Optimal Control using Log Barrier Constrained iLQR

Abhijeet, Suman Chakravorty

This paper presents a constrained iterative Linear Quadratic Regulator (iLQR) framework for nonlinear optimal control problems with box constraints on both states and control input…

math.OC2025

Optimal Control with Lyapunov Stability Guarantees for Space Applications

Abhijeet, Mohamed Naveed Gul Mohamed, Aayushman Sharma +1

This paper investigates the infinite horizon optimal control problem (OCP) for space applications characterized by nonlinear dynamics. The proposed approach divides the problem int…

math.OC2025

A Sequential Quadratic Programming Perspective on Optimal Control

Abhijeet, Suman Chakravorty

This paper offers a unified perspective on different approaches to the solution of optimal control problems through the lens of constrained sequential quadratic programming. In par…