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Accelerated Optimization Landscape of Linear-Quadratic Regulator
April 16, 2024, 4:45 a.m. | Lechen Feng, Yuan-Hua Ni
cs.LG updates on arXiv.org arxiv.org
Abstract: Linear-quadratic regulator (LQR) is a landmark problem in the field of optimal control, which is the concern of this paper. Generally, LQR is classified into state-feedback LQR (SLQR) and output-feedback LQR (OLQR) based on whether the full state is obtained. It has been suggested in existing literature that both SLQR and OLQR could be viewed as \textit{constrained nonconvex matrix optimization} problems in which the only variable to be optimized is the feedback gain matrix. In …
abstract arxiv control cs.lg feedback landmark landscape linear literature math.oc optimization paper regulator state type
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