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作者:Gadjov, Dian; Pavel, Lacra
作者单位:University of Toronto
摘要:In this article, we consider distributed Nash equilibrium seeking in monotone and hypomonotone games. We first assume that each player has knowledge of the opponents' decisions and propose a passivity-based modification of the standard gradient-play dynamics, which we call Heavy Anchor. We prove that Heavy Anchor allows a relaxation of strict monotonicity of the pseudogradient, needed for gradient-play dynamics, and can ensure exact asymptotic convergence in merely monotone regimes. We extend ...
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作者:Impicciatore, Anastasia; Pepe, Pierdomenico; D'Innocenzo, Alessandro
作者单位:University of L'Aquila
摘要:This article provides necessary and sufficient Lyapunov conditions for the exponential mean square stability and exponential mean square input-to-state-stability of discrete-time Markovian switching nonlinear systems. An application to the stability analysis of wireless control networks is presented, showing the usefulness of the proposed approach.
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作者:Lee, Donghwan; Lim, Han-Dong; Park, Jihoon; Choi, Okyong
作者单位:Korea Advanced Institute of Science & Technology (KAIST)
摘要:Sutton, Szepesvari and Maei introduced the first gradient temporal-difference (GTD) learning algorithms compatible with both linear function approximation and off-policy training. The goal of this article is 1) to propose some variants of GTDs with extensive comparative analysis and 2) to establish new theoretical analysis frameworks for the GTDs. These variants are based on convex-concave saddle-point interpretations of GTDs, which effectively unify all the GTDs into a single framework, and p...
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作者:Sun, Libei; Huang, Xiucai; Song, Yongduan
作者单位:Chongqing University
摘要:It poses technical difficulty to achieve stable tracking even for single mismatched nonlinear strict-feedback systems when intermittent state feedback is utilized. The underlying problem becomes even more complicated if such systems are networked with directed communication and state-triggering setting. In this work, we present a fully distributed adaptive tracking control scheme for multiple agent systems in strict-feedback form using triggered state from the agent itself and the triggered st...
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作者:Belabbas, Mohamed-Ali; Chen, Xudong; Zelazo, Daniel
作者单位:University of Illinois System; University of Illinois Urbana-Champaign; University of Illinois System; University of Illinois Urbana-Champaign; University of Colorado System; University of Colorado Boulder; Technion Israel Institute of Technology
摘要:A sparsity pattern in R-nxm, for m >= n, is a vector subspace of matrices admitting a basis consisting of canonical basis vectors in R-nxm. We represent a sparsity pattern by a matrix with 0/star-entries, where star-entries are arbitrary real numbers and 0-entries are equal to 0. We say that a sparsity pattern has full structural rank if the maximal rank of matrices contained in it is n. In this article, we investigate the degree of resilience of patterns with full structural rank: We address ...
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作者:Aleksandrov, Alexander; Fradkov, Alexander; Semenov, Aleksandr
作者单位:Saint Petersburg State University; Russian Academy of Sciences
摘要:The problem of the equidistant deployment of mobile agents on a line segment is studied. It is assumed that agent dynamics are modeled by linear second-order models. Two types of control protocols are studied: with and without relative velocity measurements. For any positive damping coefficient of agents, we propose a control protocol that ensures the achievement of the control goal and possesses robustness for any communication delays and any switching topology. The designed multiagent system...
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作者:Li, Zhipeng; Marelli, Damian; Fu, Minyue; Zhang, Huanshui
作者单位:University of Newcastle; Shandong University
摘要:We investigate the linear quadratic Gaussian-Stackelberg game under a class of nested observation information patterns. The follower uses its observation data to design its strategy, whereas the leader implements its strategy using global observation data. We show that the solution requires solving a new type of forward-backward stochastic differential equation, whose drift components contain two conditional expectation terms associated with the adjoint variables. We then propose a method to f...
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作者:Drummond, Ross; Guiver, Chris; Turner, Matthew C.
作者单位:University of Sheffield; Edinburgh Napier University; University of Southampton
摘要:The Aizerman conjecture predicts stability for a class of nonlinear control systems on the basis of linear system stability analysis. The conjecture is known to be false in general. Here, a number of Aizerman conjectures are shown to be true for a class of internally positive multivariate systems, under a natural generalization of the classical sector condition and, moreover, guarantee positivity in closed loop. These results are stronger and/or more general than existing results. This article...
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作者:Singh, Bhawana; Pal, Anil Kumar; Kamal, Shyam; Dinh, Thach Ngoc; Mazenc, Frederic
作者单位:Banaras Hindu University (BHU); Indian Institute of Technology System (IIT System); Indian Institute of Technology BHU Varanasi (IIT BHU Varanasi); heSam Universite; Conservatoire National Arts & Metiers (CNAM); Universite Paris Saclay; Inria; Centre National de la Recherche Scientifique (CNRS)
摘要:Predefined-time stability is the stability of dynamical systems whose solutions approach the equilibrium point within a predecided time duration. In this technical note, we develop general results of predefined-time stability of nonlinear systems using vector Lyapunov functions. A vector comparison system, which is predefined-time convergent, is constructed, and after that the stability of the original dynamical system is proved using differential inequalities and comparison principles. Moreov...
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作者:Zhang, Qichun; Zhang, Jianhua; Wang, Hong
作者单位:University of Bradford; North China Electric Power University; United States Department of Energy (DOE); Oak Ridge National Laboratory
摘要:This article presents a novel minimum entropy control algorithm for a class of stochastic nonlinear systems subjected to non-Gaussian noises. The entropy control can be considered as an optimization problem for the system randomness attenuation, but the mean value has to be considered separately. To overcome this disadvantage, a new representation of the system stochastic properties was given using the cumulant-generating function based on the moment-generating function, in which the mean valu...