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作者：Li, Lin; Li, Yanan; Feng, Wei
作者单位：Shandong Agricultural University
摘要：A variance margin problem for linear systems with multiplicative noise is considered. The variance margin vm is the maximal variance tolerance such that the systems can be robustly stabilized by a state-feedback control. vm also provides a fundamental limit for the solvability of a generalized algebraic Riccati equation (GARE). Fundamental limits in literature are only valid for modified algebraic Riccati equations, which are special cases of GAREs. The purpose of this article is to derive new...
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作者：Oh, Yuna; Moon, Jun
作者单位：Hanyang University
摘要：We study the linear-quadratic (LQ) risk-sensitive optimal control problem for mean-field type stochastic differential equations (MF-SDEs) driven by Brownian motion. The expected values of state and control variables are included in the MF-SDE as well as the objective functional, and the objective functional is of the risk-sensitive type. The control has access to the noisy state information from the mean-field type stochastic observation model. Under this setting, we obtain the practically imp...
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作者：Zhan, Jingyuan; Zhang, Liguo; Qiao, Junfei
作者单位：Beijing University of Technology
摘要：Concerning the consensus problem of a networked hyperbolic system of two linear conservation laws, this article proposes a boundary consensus protocol and establishes a theoretical framework for consensus analysis under both fixed and switching communication topologies. First, we present a consensus analysis under fixed topologies by utilizing the Lyapunov approach, where both undirected graph and digraph cases are considered. Under the assumption that the undirected graph is connected or the ...
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作者：Feng, Shilun; Shi, Dawei; Chen, Tongwen; Shi, Ling
作者单位：Beijing Institute of Technology; Beijing Institute of Technology; University of Alberta; Hong Kong University of Science & Technology
摘要：Event-triggered control has attracted considerable attention for its effectiveness in resource-restricted applications. To make event-triggered control as an end-to-end solution, a key issue is how to effectively learn unknown system dynamics from event-triggered measurements and consequently, develop a learning-based event-triggered controller. Existing works learn system dynamics based on periodic time-triggered measurements, and it is yet to know how to learn a controller with performance g...
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作者：Wang, Yunan; Hu, Chuxiong; Li, Zeyang; Lin, Yujie; Lin, Shize; He, Suqin
作者单位：Tsinghua University; Tsinghua University; Tsinghua University
摘要：Time-optimal control for high-order chain-of-integrator systems with full state constraints remains an open and challenging problem within the discipline of optimal control. The behavior of optimal control in high-order problems lacks precise characterization. Even the existence of the chattering phenomenon, i.e., the control switches infinitely many times over a finite period, remains unknown. This article establishes a theoretical framework for chattering in the problem, providing novel find...
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作者：An, Sang-ik; Lee, Dongheui; Park, Gyunghoon
作者单位：University of Seoul; Technische Universitat Wien
摘要：The concept of priority has been introduced to the robotic systems in 1980s as an effort to overcome problems caused by singularity and it has attracted considerable attention from both the robotics and control societies. However, none of the previous works have successfully addressed two fundamental degenerate properties of singularity: nonsmoothness and imperfect inversion. This technical note proposes a prioritized output tracking control method that guarantees the ultimate boundedness and ...
