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作者:Gu, Keqin; Phan-Van, Huan
作者单位:Southern Illinois University System; Southern Illinois University Edwardsville
摘要:This article discusses the invariant subspaces that are restricted to be external direct sums. Some existence conditions are presented that facilitate finding such invariant subspaces. This problem is related to the decomposition of coupled differential-difference equations, leading to the possibility of lowering the dimensions of coupled differential-difference equations. As has been well documented, lowering the dimension of coupled differential-difference equations can drastically reduce th...
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作者:Mi, La; Goncalves, Jorge; Markdahl, Johan
作者单位:University of Luxembourg; University of Cambridge
摘要:Multi-agent systems are known to exhibit stable emergent behaviors, including polarization, over R-n or highly symmetric nonlinear spaces. In this article, we eschew linearity and symmetry of the underlying spaces, and study the stability of polarized equilibria of multi-agent gradient flows evolving on general hypermanifolds. The agents attract or repel each other according to the partition of the communication graph that is connected but otherwise arbitrary. The manifolds are outfitted with ...
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作者:He, Xiongnan; Huang, Jie
作者单位:Chinese University of Hong Kong
摘要:In this article, we study the problem of distributed Nash equilibrium seeking of N-player games with single-integrator dynamics subject to disturbances generated by an uncertain exosystem. Similar problems have been studied for games with single-integrator dynamics subject to disturbances generated by a known exosystem. In addition, this article offers some other new features. First, the existing results only apply to static, connected, and undirected graphs while the result of this article ap...
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作者:Chen, Jian-Hua; Zhou, Hua-Cheng; Han, Zhong-Jie
作者单位:Hunan University of Science & Technology; Central South University; Tianjin University
摘要:In this article, we study a class of integro-differential equation systems with observations in the abstract setting of Hilbert spaces, which fit the second-order integro-differential equation governing the dynamics in isotropic linear viscoelastic materials. Our focus is on infinite-time admissibility of the system observation operators, and sufficient conditions are established using two operator semigroup approaches. An illustrative example is given.
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作者:Meyn, Sean
作者单位:State University System of Florida; University of Florida
摘要:Q-learning has become an important part of the reinforcement learning toolkit since its introduction in the dissertation of Chris Watkins in the 1980s. In the original tabular formulation, the goal is to compute exactly a solution to the discounted-cost optimality equation, and thereby, obtain the optimal policy for a Markov Decision Process. The goal today is more modest: obtain an approximate solution within a prescribed function class. The standard algorithms are based on the same architect...
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作者:Jones, Morgan
作者单位:University of Sheffield
摘要:what circumstances does the closeness of two functions imply the closeness of their respective sublevel sets? In this article, we answer this question by showing that if a sequence of functions converges strictly from above/below to a function, V , in the L-infinity (or L-1) norm then these functions yield a sequence sublevel sets that converge to the sublevel set of V with respect to the Hausdorff metric (or volume metric). Based on these theoretical results we propose sum-of-squares numerica...
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作者:Khazraei, Amir; Pfister, Henry D.; Pajic, Miroslav
作者单位:Duke University
摘要:We study the performance of perception-based control systems in the presence of attacks and provide methods for modeling and analysis of their resiliency to stealthy attacks on both physical and perception-based sensing. Specifically, we consider a general setup with a nonlinear affine physical plant controlled with a perception-based controller that maps both the physical [e.g., inertial measurement units (IMUs)] and perceptual (e.g., camera) sensing to the control input; the system is also e...
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作者:Ma, Xuehui; Zhang, Shiliang; Li, Yushuai; Qian, Fucai; Sun, Zhiyong; Huang, Tingwen
作者单位:Xi'an University of Technology; University of Oslo; Aalborg University; Eindhoven University of Technology; Shenzhen University of Advanced Technology
摘要:This article is concerned with the robust tracking control of linear uncertain systems, whose unknown system parameters and disturbances are bounded within ellipsoidal sets. We propose an adaptive robust control that can actively learn the ellipsoid sets. Particularly, our approach utilizes the ellipsoidal set-membership estimation in learning the ellipsoid sets, aiming at narrowing the uncertainty boundaries to reduce the conservativeness in robust control. To further improve the transient pe...
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作者:Bao, HanQiu; Kang, Qi; Shi, XuDong; Zhou, MengChu; An, Jing; Al-Turki, Yusuf
作者单位:Tongji University; Tongji University; Zhejiang Gongshang University; Shanghai Institute of Technology; King Abdulaziz University; King Abdulaziz University
摘要:Maximizing the performance of a system without reference over an infinite horizon is a challenging problem for iterative control tasks. This article introduces a value approximator-based learning model predictive control framework that aims to enhance the system's performance by learning from previous trajectories. We introduce a value approximator to recursively reconstruct a terminal cost function and reformulate an infinite time optimization problem to a finite time one. This work proposes ...
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作者:Jiang, Xiaowei; Li, Jianhao; Li, Bo; Wang, Yan-Wu; Huang, Tingwen
作者单位:China University of Geosciences; Anhui University of Finance & Economics; Huazhong University of Science & Technology; Qatar Foundation (QF); Texas A&M University Qatar
摘要:Studying the performance limitations of communication-constrained networked control systems (NCSs) is of utmost significance and poses a considerable challenge from an academic standpoint. This article investigates the tracking performance limitations (TPL) and regulation performance limitations (RPL) of a NCS with communication constraints in the network channel, such as network-induced delay, packet loss, additive non-zero mean noise, finite bandwidth, and encoding-decoding constraints. Expl...