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作者:Fabiani, Filippo; Bemporad, Alberto
作者单位:IMT School for Advanced Studies Lucca
摘要:To identify a stationary action profile for a population of competitive agents, each executing private strategies, we introduce a novel active-learning scheme where a centralized external observer (or entity) can probe the agents' reactions and recursively update simple local parametric estimates of the action-reaction mappings. Under very general working assumptions (not even assuming that a stationary profile exists), sufficient conditions are established to assess the asymptotic properties ...
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作者:Miranda-Villatoro, Felix A.
作者单位:Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Inria
摘要:In this article, a family of discrete-time, supertwisting-like algorithms is presented. The algorithms are naturally vector-valued and are described in an implicit fashion, reminiscent of backward-Euler discretization schemes. The well-posedness of the closed-loop is established and the robust stability, against a family of external disturbances, is thoroughly studied. Implementation strategies, involving splitting-algorithms from convex optimization, are also discussed and compared. Finally, ...
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作者:Wan, Peng; Zeng, Zhigang
作者单位:Wuhan University of Science & Technology; Huazhong University of Science & Technology
摘要:The extensively studied partial differential equation (PDE) systems evolve on continuous time and continuous space, which restricts the investigation scope of PDE systems. A parabolic PDE system on space-time scales is constructed for the first time. This article focuses on global exponential stabilization (GES) of a linear parabolic PDE systems on space-time scales by using point-based collocated and noncollocated observations. First, we give the definitions of space-time scales, which contai...
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作者:Xu, Ningsheng; Huang, Weiwen; Liang, Li; Deng, Fang
作者单位:Beijing Institute of Technology; Beijing Institute of Technology; Beijing Institute of Technology; Beijing University of Chemical Technology
摘要:This article investigates a two-lifeline differential game with two pursuers and one evader in a planar environment that is divided into a game area and two target areas by the two lifelines. The evader aims to enter the target area by passing through either of the two lifelines, eluding capture in the process. Conversely, the pursuers endeavor to capture the evader before it reaches one of the target areas. To construct the barrier, we first divide the two-lifeline differential game into two ...
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作者:Polyakov, Andrey; Orlov, Yury
作者单位:Centre National de la Recherche Scientifique (CNRS); Universite de Lille; Inria
摘要:Finite/fixed-time control design procedure is developed for an infinite dimensional system modeled by abstract evolution equation in a Hilbert space. It is based on solving certain operator equations and inequalities. For a class of partial differential equation (PDE) models, the corresponding equations/inequalities are shown to be algebraic and solvable in many cases. Theoretical results are supported by examples of controlled PDE models.
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作者:Krauss, Isabelle; Lopez, Victor G.; Mueller, Matthias A.
作者单位:Leibniz University Hannover
摘要:This article introduces two sample-based formulations of incremental input/output-to-state stability (i-IOSS), a suitable detectability notion for general nonlinear systems. In this work, we consider the case of limited output information, i.e., measurements are only infrequently and/or irregularly available. The output-dependent term of the sample-based i-IOSS bound is properly modified to yield a characterization for detectability in the presence of incomplete output sequences. We provide bo...
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作者:Li, Na; Li, Xun; Xu, Zuo Quan
作者单位:Shandong University of Finance & Economics; Hong Kong Polytechnic University
摘要:In this article, we employ a policy iteration reinforcement learning (RL) method to study continuous-time linear-quadratic mean-field control problems in infinite horizon. The drift and diffusion terms in the dynamics involve the states, the controls, and their conditional expectations. We investigate the stabilizability and convergence of the RL algorithm using a Lyapunov recursion. Instead of solving a pair of coupled Riccati equations, the RL technique focuses on strengthening an auxiliary ...
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作者:Sassano, Mario
作者单位:University of Rome Tor Vergata
摘要:The discrete-time, infinite-horizon linear quadratic regulator (LQR) is studied with the objective of establishing a unified perspective on the problem by relying simultaneously on Dynamic Programming and the discrete Minimum Principle. While it is well known that the two strategies independently yield the optimal solution, it is shown here that their combination provides much deeper insights on the nature of the optimal solution and on the strategies by means of which it can be computed. More...
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作者:Tang, Xuening; Cao, Xianghui; Zheng, Wei Xing
作者单位:Southeast University - China; Southeast University - China; Western Sydney University
摘要:As networked control systems continue to evolve, ensuring the privacy of sensitive data becomes an increasingly pressing concern, especially in situations where the controller is physically separated from the plant. In this article, we propose a secure control scheme for computing linear quadratic control in a networked control system utilizing two networked controllers, a privacy encoder, and a control restorer. Specifically, the encoder generates two state signals blurred with random noise a...
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作者:Huang, Kun; Pu, Shi
作者单位:The Chinese University of Hong Kong, Shenzhen
摘要:In this article, we consider solving the distributed optimization problem over a multiagent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed compressed exact diffusion with adaptive stepsizes (CEDAS), and show that the method asymptotically achieves comparable convergence rate as centralized stochastic gradient descent (SGD) for both smooth strongly convex objective functions and smooth nonconvex objective functions unde...