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math.OC2025
Policy Optimization in the Linear Quadratic Gaussian Problem: A Frequency Domain Perspective
Haoran Li, Xun Li, Yuan-Hua Ni +1
The Linear Quadratic Gaussian (LQG) problem is a classic and widely studied model in optimal control, providing a fundamental framework for designing controllers for linear systems…
math.OC2025
Douglas-Rachford Splitting for Group-Sparse Feedback Linear-Quadratic Control
Lechen Feng, Xun Li, Yuan-Hua Ni
In this paper, we study the distributed linear quadratic problem with fixed communication topology (DFT-LQ) and the sparse feedback linear quadratic (SF-LQ) problem through a unifi…
math.OC2025
An Optimization-Based Framework for Solving Forward-Backward Stochastic Differential Equations: Convergence Analysis and Error Bounds
Yutian Wang, Yuan-Hua Ni, Xun Li
Forward-backward stochastic differential equations have recently become a key focus in the computational field, and their role in continuous-time stochastic optimal control and rei…