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作者:Zhu, Shuaibing; Zhou, Jin; Lu, Jinhu; Lu, Jun-An
作者单位:Hunan Normal University; Wuhan University; Beihang University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
摘要:The synchronization problem of complex dynamical networks with impulsive effects has been extensively addressed. However, great challenges arise when applying the existing synchronization criteria to networks with uncertain impulses. In this article, we investigate the adaptive synchronization problem of complex networks with uncertain impulses. First, the adaptive control gain is proved to be bounded for both synchronizing and desynchronizing impulses. Then, adaptive synchronization criteria ...
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作者:Cui, Qian; Song, Yongduan; Wen, Changyun
作者单位:Chongqing University; Nanyang Technological University
摘要:In this note, a fully distributed and prescribed-time control approach is developed to achieve consensus for multiple agent systems under certain optimal constraints. By virtue of local gradient information, a new estimator is first constructed to acquire global gradient information. Based on the well-known result on fixed-time control, a novel prescribed time lemma is derived by specifying certain design parameters properly, with which the three objectives, consensus, estimation, and optimiza...
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作者:De Pasquale, Giulia; Smith, Kevin D.; Bullo, Francesco; Valcher, Maria Elena
作者单位:University of Padua; University of California System; University of California Santa Barbara
摘要:Dynamical systems that are contracting on a subspace are said to be semicontracting. Semicontraction theory is a useful tool in the study of consensus algorithms and dynamical flow systems such as Markov chains. To develop a comprehensive theory of semicontracting systems, we investigate seminorms on vector spaces and define two canonical notions: Projection and distance seminorms. We show that the well-known l(p) ergodic coefficients are induced matrix seminorms and play a central role in sta...
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作者:Talebi, Shahriar; Mesbahi, Mehran
作者单位:University of Washington; University of Washington Seattle; University of Washington; University of Washington Seattle
摘要:In this article, we study linearly constrained policy optimization over the manifold of Schur stabilizing controllers, equipped with a Riemannian metric that emerges naturally in the context of optimal control problems. We provide extrinsic analysis of a generic constrained smooth cost function that subsequently facilitates subsuming any such constrained problem into this framework. By studying the second-order geometry of this manifold, we provide a Newton-type algorithm that does not rely on...
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作者:Zhao, Di; Chen, Chao; Chen, Jianqi
作者单位:Tongji University; Tongji University; Hong Kong University of Science & Technology; KU Leuven
摘要:In this article, we formulate feedback control problems involving stochastic systems and stochastic signals and obtain stability conditions based on the notions called gains and angles. The family of systems under investigation is represented by a discrete-time linear time-varying stochastic (LTVS) model, which generalizes the intensively studied multiplicative stochastic model. Such formulation may incorporate widely encountered networked control problems involving fading and packet-drop comm...
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作者:Wang, Dong; Wu, Feiyue; Lian, Jie; Li, Siyi
作者单位:Dalian University of Technology; Dalian University of Technology
摘要:This article investigates the stabilization of a class of stochastic nonhomogeneous semi-Markov jump systems (SNSMJSs). As a result of incomplete access to the system's state and the occurrence of asynchronous phenomena that occur during information transmission, the control design of the SNSMJSs becomes significantly more complicated. To tackle such a challenge, an observer-based asynchronous controller embedded with a hidden Markov model is proposed. First, an algebraic relationship among tr...
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作者:Zhu, Shiyong; Li, Yuanyuan; Cao, Jinde; Dimirovski, Georgi M.; Lu, Jianquan
作者单位:Southeast University - China; City University of Hong Kong; Nanjing Forestry University; Southeast University - China; Yonsei University; Saints Cyril & Methodius University of Skopje
摘要:The Lyapunov stability theory is developed for absorbing continuous-time Markov chains (CT-MCs) in this technical note. The derived stability criteria are all necessary and sufficient for absorbing CT-MCs and set absorbing CT-MCs, where Lyapunov functions can be constructed in a polynomial amount of time with respect to the cardinality of state spaces. Furthermore, the gap between Lyapunov functions of the CT-MCs and of the discrete-time Markov chains is bridged by the feature that the length ...
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作者:Zhao, Yu; Gao, Kai; Huang, Panfeng; Chen, Guanrong
作者单位:Northwestern Polytechnical University; Northwestern Polytechnical University; City University of Hong Kong
摘要:In this article, the specified-time affine formation maneuver control (AFMC) problem is studied with a leader-follower structure over a directed communication network. First, by means of Pontraygin's maximum principle and motion-planning techniques, a specified-time AFMC algorithm is designed for the second-integrator systems with dynamic leaders, which can lead the followers to achieve the desired affine formation at a specified settling time according to mission requirements and environmenta...
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作者:Zhang, Yan; Zavlanos, Michael M.
作者单位:Duke University
摘要:In this article, we propose a distributed zeroth-order policy optimization method for multiagent reinforcement learning (MARL). Existing MARL algorithms often assume that every agent can observe the states and actions of all the other agents in the network. This can be impractical in large-scale problems, where sharing the state and action information with multihop neighbors may incur significant communication overhead. The advantage of the proposed zeroth-order policy optimization method is t...
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作者:Cerone, Vito; Fadda, Edoardo; Regruto, Diego
作者单位:Polytechnic University of Turin; Polytechnic University of Turin
摘要:In this article, we present a kernel-based nonparametric approach to identifying stable multi-input multioutput (MIMO) linear systems in the presence of bounded noise affecting both the input and the output measurements. First, we formulate the considered problem in terms of robust optimization techniques. Then, we show that the formulated robust optimization problem can be solved using semidefinite optimization. Since the involved optimization problem is computationally demanding, we also pro...