3 papers
math.OC2026
Policy Optimization of Mixed H2/H-infinity Control: Benign Nonconvexity and Global Optimality
Chih-Fan Pai, Yuto Watanabe, Yujie Tang +1
Mixed H2/H-infinity control balances performance and robustness by minimizing an H2 cost bound subject to an H-infinity constraint. However, classical Riccati/LMI solutions offer l…
math.OC2024
Benign Nonconvex Landscapes in Optimal and Robust Control, Part II: Extended Convex Lifting
Yang Zheng, Chih-Fan Pai, Yujie Tang
Many optimal and robust control problems are nonconvex and potentially nonsmooth in their policy optimization forms. In Part II of this paper, we introduce a new and unified Extend…
math.OC2023
Benign Nonconvex Landscapes in Optimal and Robust Control, Part I: Global Optimality
Yang Zheng, Chih-fan Pai, Yujie Tang
Direct policy search has achieved great empirical success in reinforcement learning. Many recent studies have revisited its theoretical foundation for continuous control, which rev…