4 papers
A Proximal Method for Composite Optimization with Smooth and Convex Components
Samet Uzun, Dayou Luo, Behçet AçıkmeÅe +1
We introduce prox-convex for minimizing , where and are convex, and are smooth, and each component of is convex (possibly nonsmooth).…
Continuous-time Constrained Funnel Synthesis for Incrementally Quadratic Nonlinear Systems
Taewan Kim, Dayou Luo, Behçet AçıkmeÅe
This paper presents a convex optimization-based framework for synthesizing time-varying controlled invariant funnels and associated feedback control around a given nominal trajecto…
Revisiting Lossless Convexification: Theoretical Guarantees for Discrete-time Optimal Control Problems
Dayou Luo, Kazuya Echigo, Behçet AçıkmeÅe
Lossless Convexification (LCvx) is a modeling approach that transforms a class of nonconvex optimal control problems, where nonconvexity primarily arises from control constraints,…
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…