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作者：Hafez, Mohamed A.; Uzeda, Erick Mejia; Broucke, Mireille E.
作者单位：University of Toronto
摘要：This article formulates the optimal steady-state regulation (OSSR) problem. In addition to asymptotic stability and regulation, the problem includes a cost on maintaining steady-state inputs and outputs to controllers contributing to regulation, contrasting with standard optimal steady-state problems that only include a cost on the steady-state inputs and outputs of the plant. Motivated by applications in neuroscience, we develop a two-timescale adaptive control architecture to solve a specifi...
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作者：Apaza-Perez, W. Alejandro; Girard, Antoine
作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
摘要：In this article, we introduce the notion of input-to-state attractivity (ISA) controllers for a class of finite transition systems with disturbances. The performances of an ISA controller are characterized by a gain function that quantifies the deviation of closed-loop trajectories from the target set as a function of the amplitude of past disturbances on a bounded time window. We prove the existence of controllers that are gain-optimal (GO) in the sense that their gain function is minimal (wi...
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作者：Castano, Alejandro; Cuvas, Carlos; Egorov, Alexey; Mondie, Sabine
作者单位：CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional; Saint Petersburg State University
摘要：This contribution presents two exponential stability criteria (necessary and sufficient conditions) for linear systems with multiple pointwise and distributed delays. An important property is that the stability test requires a finite number of mathematical operations. The results are given in terms of the delay Lyapunov matrix and the fundamental matrix of the system. The exact construction of these matrices is possible for systems with delays multiple of a basic one and distributed delays wit...
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作者：Lin, Lin; Cao, Jinde; Lam, James; Rutkowski, Leszek; Dimirovski, Georgi Marko; Zhu, Shiyong
作者单位：University of Hong Kong; Southeast University - China; Southeast University - China; Polish Academy of Sciences; Systems Research Institute of the Polish Academy of Sciences; AGH University of Krakow; Saints Cyril & Methodius University of Skopje
摘要：In this article, the scale reduction problem of continuous-time Markov chains (CT-MCs) and continuous-time controlled Markov chains (CT-CMCs) are disserted both from the bisimulation perspective. Based on the features of bisimulation, the reachability, macro-controllability, controllability, and stabilizability of CT-MCs and CT-CMCs, particularly, the large-scale ones, are addressed over the corresponding reduced chains. The bisimulation relations are defined for both CT-MCs and CT-CMCs to est...
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作者：Wang, Xingping; Chi, Dianwei
摘要：We consider the stabilization of systems that switch among an arbitrary number of linear time-varying subsystems, which cannot be stabilized by simply stabilizing all the subsystems even if their dwell time is large enough. We introduce a uniformity condition on the controllability of all the subsystems under which we can design controllers for the subsystems such that the closed-loop subsystems are exponentially stable, and their state transition matrices have uniformly bounded magnitudes. We...
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作者：Han, Dongyu; Liu, Kun; Lin, Yeming; Xia, Yuanqing
作者单位：Beijing Institute of Technology
摘要：This article considers a distributed stochastic nonconvex optimization problem, where the nodes in a network cooperatively minimize a sum of $L$-smooth local cost functions with sparse gradients. By adaptively adjusting the stepsizes according to the historical (possibly sparse) gradients, a distributed adaptive gradient algorithm is proposed, in which a gradient tracking estimator is used to handle the heterogeneity between different local cost functions. We establish an upper bound on the op...
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作者：Huang, Kun; Li, Xiao; Pu, Shi
作者单位：The Chinese University of Hong Kong, Shenzhen
摘要：Distributed stochastic optimization has drawn great attention recently due to its effectiveness in solving large-scale machine learning problems. Although numerous algorithms have been proposed and successfully applied to general practical problems, their theoretical guarantees mainly rely on certain boundedness conditions on the stochastic gradients, varying from uniform boundedness to the relaxed growth condition. In addition, how to characterize the data heterogeneity among the agents and i...
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作者：Hustiu, Sofia; Mahulea, Cristian; Kloetzer, Marius; Lesage, Jean-Jacques
作者单位：GH Asachi Technical University; University of Zaragoza; Universite Paris Saclay
摘要：This article proposes a method exploiting the advantages of Petri net (PN) and B & uuml;chi automata models by joining them in a newly defined composed PN representation. Based on the latter model, collision-free trajectories are computed for a team of robots. The path planning algorithm is divided into two steps: computing a solution in a reduced PN model and projecting it to the PN assigned to the environment. The results, given by a set of mixed integer linear programming (MILP) problems, y...
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作者：Sun, Weichao; Yuan, Yeqing; Gao, Huijun
作者单位：Harbin Institute of Technology
摘要：Hierarchical impedance-based tracking control has attracted much interest recently due to its advantages of no external forces/torques feedback and inertia reshaping. Desired trajectories on each hierarchy level can be asymptotically tracked following the order of priorities. However, tasks specified by users are required to have the same dimensions as the DOF of robot and are simultaneously feasible and independent. In this article, all these restrictions are removed and a passivity-based hie...
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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...
