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作者：Le, Hien; Aghaeeyan, Azadeh; Ramazi, Pouria
作者单位：Statistics Canada; Brock University
摘要：Decision-making individuals are typically either a best responder who chooses an action that leads to their immediate success, or an imitator, who mimics the actions of the most successful individuals. Conformist best-responders perceive an action to be successful if enough others have done so, whereas nonconformist ones think of an action as successful if few others have done so. Researchers have studied the asymptotic behavior of populations comprising one or two of these types of decision m...
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作者：Li, Xu; Liu, Haibo; Liu, Kun-Zhi; Wang, Yongqing
作者单位：Dalian University of Technology; Dalian University of Technology
摘要：The multiple Lyapunov-Krasovskii functionals method plays an important role in exponential stability analysis of switched delay systems under constrained switching. When the method is applied to a switched delay system, the condition that each subsystem should have its own functional is essential. In this article, an improved exponential stability analysis method is presented for nonlinear switched delay systems under constrained switching. This is achieved by weakening the essential condition...
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作者：Pan, Yongping; Shi, Tian; Ortega, Romeo
作者单位：Sun Yat Sen University; Sun Yat Sen University; Instituto Tecnologico Autonomo de Mexico
摘要：Least-squares parameter estimation is important in system identification and adaptive control owing to its enhanced performance and robustness compared to gradient-descent parameter estimation. Based on a unified class of uncertain nonlinear systems, we introduce the standard least-squares estimator (LSE) and six variations from the old to the latest ones, namely a filterless LSE, a high-gain LSE, a filtered high-gain LSE, a finite-time LSE, a dynamic regressor extension and mixing (DREM)-base...
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作者：Wang, Licheng; Wang, Zidong; Zhao, Di; Liu, Yang; Wei, Guoliang
作者单位：Shanghai University of Electric Power; Shandong University of Science & Technology; Brunel University; University of Shanghai for Science & Technology; University of Huddersfield
摘要：In this article, the recursive filtering problem is investigated for a class of discrete-time stochastic dynamical networks where the data delivery from the sensors to the filter is implemented by a digital communication channel. With the help of the uniform quantization method, an improved encoding-decoding mechanism associated with measurement outputs is first put forward where the decoding error is guaranteed to be stochastically bounded under a certain bit-rate constraint condition. Based ...
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作者：Dogan, Ilgin; Shen, Zuo-Jun Max; Aswani, Anil
作者单位：University of California System; University of California Berkeley; University of Hong Kong; University of Hong Kong
摘要：The exploration-exploitation tradeoff is an inherent challenge in data-driven adaptive control. Though this tradeoff has been studied for multiarmed bandits (MABs) and reinforcement learning for linear systems, it is less well studied for learning-based control of nonlinear systems. A significant theoretical challenge in the nonlinear setting is that there is no explicit characterization of an optimal controller for a given set of cost and system parameters. We propose the use of a finite-hori...
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作者：Jafarian, Matin; Mamduhi, Mohammad H.; Johansson, Karl H.
作者单位：Delft University of Technology; Swiss Federal Institutes of Technology Domain; ETH Zurich; Royal Institute of Technology
摘要：This article studies stochastic relative phase stability, i.e., stochastic phase-cohesiveness, of discrete-time phase-coupled oscillators. The stochastic phase-cohesiveness in two types of networks is studied. First, we consider oscillators coupled with $2\pi$-periodic odd functions over underlying undirected graphs subject to both multiplicative and additive stochastic uncertainties. We prove stochastic phase-cohesiveness of the network with respect to two specific, namely, in-phase and antip...
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作者：Sibai, Hussein; Mitra, Sayan
作者单位：Washington University (WUSTL); University of Illinois System; University of Illinois Urbana-Champaign
摘要：A symmetry of a dynamical system is a map that transforms any trajectory to another trajectory. Abstractions have been a key building block in the theory and practice of hybrid automata analysis. We introduce a novel abstraction for hybrid automata based on the symmetries of their modes. The abstraction procedure combines different modes of a concrete automaton A , whose trajectories are related by symmetries, into a single mode of the constructed abstract automaton B . The abstraction procedu...
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作者：Sassano, Mario
作者单位：University of Rome Tor Vergata
摘要：Within the framework of finite-horizon optimal control problems involving nonlinear, input-affine dynamics, a connection between the costate variable and generating functions of the annihilating codistribution of the underlying Hamiltonian vector field is established. It is shown that the inverse mapping of any collection of n, such generating functions coincide, for any time and for a certain constant vector, with the costate of the optimal process. In particular, the corresponding constant v...
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作者：Selivanov, Anton; Fridman, Emilia
作者单位：University of Sheffield; Tel Aviv University
摘要：Recently, a constructive approach to the design of finite-dimensional observer-based controller has been proposed for parabolic partial differential equations (PDEs). This article extends it to hyperbolic PDEs. Namely, we design a finite-dimensional, output-feedback, boundary controller for a wave equation with in-domain viscous friction. The control-free system is unstable for any friction coefficient due to an external force. Our approach is based on modal decomposition: an observer-based co...
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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...
