3 papers
math.OC2025
Policy Optimization in Robust Control: Weak Convexity and Subgradient Methods
Yuto Watanabe, Feng-Yi Liao, Yang Zheng
Robust control seeks stabilizing policies that perform reliably under adversarial disturbances, with control as a classical formulation. It is known that polic…
math.OC2025
Semidefinite Programming Duality in Infinite-Horizon Linear Quadratic Differential Games
Yuto Watanabe, Chih-Fan Pai, Yang Zheng
Semidefinite programs (SDPs) play a crucial role in control theory, traditionally as a computational tool. Beyond computation, the duality theory in convex optimization also provid…
math.OC2025
Revisiting Strong Duality, Hidden Convexity, and Gradient Dominance in the Linear Quadratic Regulator
Yuto Watanabe, Yang Zheng
The Linear Quadratic Regulator (LQR) is a cornerstone of optimal control theory, widely studied in both model-based and model-free approaches. Despite its well-established nature,…