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20182025
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math.OC2025

A Proximal Method for Composite Optimization with Smooth and Convex Components

Samet Uzun, Dayou Luo, Behçet Açıkmeşe +1

We introduce prox-convex for minimizing , where and are convex, and are smooth, and each component of is convex (possibly nonsmooth).…

math.OC2025

Continuous-time Constrained Funnel Synthesis for Incrementally Quadratic Nonlinear Systems

Taewan Kim, Dayou Luo, Behçet Açıkmeşe

This paper presents a convex optimization-based framework for synthesizing time-varying controlled invariant funnels and associated feedback control around a given nominal trajecto…

math.OC2025

Onboard Dual Quaternion Guidance for Rocket Landing

Abhinav G. Kamath, Javier A. Doll, Purnanand Elango +8

The dual quaternion guidance (DQG) algorithm was selected as the candidate 6-DoF powered-descent guidance algorithm for NASA's Safe and Precise Landing -- Integrated Capabilities E…

math.OC2025

Successive Convexification for Passively-Safe Spacecraft Rendezvous on Near Rectilinear Halo Orbit

Purnanand Elango, Abraham P. Vinod, Kenji Kitamura +3

We present an optimization-based approach for fuel-efficient spacecraft rendezvous to the Gateway, a space station that will be deployed on a near rectilinear halo orbit (NRHO) aro…

math.OC2025

Newton-PIPG: A Fast Hybrid Algorithm for Quadratic Programs in Optimal Control

Dayou Luo, Yue Yu, Maryam Fazel +1

We propose Newton-PIPG, an efficient method for solving quadratic programming (QP) problems arising in optimal control, subject to additional set constraints. Newton-PIPG integrate…

math.OC2025

Optimal Preconditioning for Online Quadratic Cone Programming

Abhinav G. Kamath, Purnanand Elango, Behçet Açıkmeşe

First-order conic optimization solvers are sensitive to problem conditioning and typically perform poorly in the face of ill-conditioned problem data. To mitigate this, we propose…