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作者：Guo, Bao-Zhu; Wang, Ji-Xiao
作者单位：Zhejiang University of Science & Technology; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要：In this research, we tackle the output tracking problem for a 1-D, minimum-phase heat equation, a longstanding and challenging issue in the field of partial differential equations. The control input is applied at the boundary, while the regulated output can be situated anywhere within the domain, leading to an inherently ill-posed scenario. First, we present an exponentially convergent tracking algorithm that utilizes tracking error feedback control for reference signals with sufficient smooth...
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作者：Martins, Nuno C.; Certorio, Jair; Hankins, Matthew S.
作者单位：University System of Maryland; University of Maryland College Park; University of Maryland College Park; University System of Maryland; University of Maryland College Park
摘要：In this article, we use system-theoretic passivity methods to study evolutionary Nash equilibrium learning in large populations of agents engaged in strategic noncooperative interactions. The agents follow learning rules that specify their strategic preferences, while a payoff mechanism ascribes payoffs to the available strategies. The population's aggregate strategic profile is the state of an associated evolutionary dynamical system. Evolutionary Nash equilibrium learning refers to the conve...
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作者：Zhang, Duan; Sun, Ying
作者单位：Zhejiang University of Technology; Zhejiang Sci-Tech University
摘要：The purpose of this article is twofold. The first is to classify lower triangular forms such that, under any lower triangular coordinate transformation and any state feedback, the type a given lower triangular form belongs to is invariant. The second is to determine under what conditions a nonlinear system is equivalent to a specific type of lower triangular form. According to the least multi-indices and the largest essential multi-index sets, which are introduced as new notions and can be obt...
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作者：Wang, Zili; Yang, Hao; Jiang, Bin
作者单位：Nanjing University of Aeronautics & Astronautics
摘要：This article considers Nash equilibrium verification problem of inverse linear-quadratic (LQ) differential games, which answers the question whether a set of controllers constitutes a Nash equilibrium of a LQ differential game. This establishes a solid foundation for inverse differential games where performance indices can be identified through controllers. Distributed verification criteria are established via geometric characterization of constrained algebraic Riccati equation solutions and c...
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作者：Yuan, Ming; Zhao, Dong; Keliris, Christodoulos; Polycarpou, Marios M.
作者单位：University of Cyprus; University of Cyprus; Beihang University
摘要：This article presents a distributed dynamic event-triggered fault accommodation leader-following consensus regulation strategy for a class of nonlinear uncertain multiagent systems, remedying time-varying actuator faults and process faults that occur in the local agents and/or are propagated from interconnected neighboring dynamics. The networked system under consideration operates through a bidirectional intercommunication topology with asymmetric weights. Distinct from passive fault-tolerant...
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作者：Bishop, Adrian N.; Bonilla, Edwin V.; Del Moral, Pierre
作者单位：Commonwealth Scientific & Industrial Research Organisation (CSIRO); Commonwealth Scientific & Industrial Research Organisation (CSIRO); CSIRO Data61; Inria
摘要：We consider approximations of the Bayesian optimal filtering problem, e.g., estimating some conditional statistics of a latent time-series signal from an observation sequence. Classical approaches often rely on the use of assumed or estimated transition and observation models. Instead, we formulate a generic recurrent neural network framework and seek to learn directly a recursive mapping from observational inputs to the desired estimator statistics. The main focus of this article is on the ap...
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作者：Ke, Jieming; Wang, Jimin; Zhang, Ji-Feng
作者单位：Chinese Academy of Sciences; Nanjing Institute of Geology & Paleontology, CAS; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; University of Science & Technology Beijing; Zhongyuan University of Technology
摘要：This article focuses on the privacy-preserving distributed estimation problem with a limited data rate, where the observations are the sensitive information. Specifically, a binary-valued quantizer-based privacy-preserving distributed estimation algorithm is developed, which improves the algorithm's privacy-preserving capability and simultaneously reduces the communication costs. The algorithm's privacy-preserving capability, measured by the Fisher information matrix, is dynamically enhanced o...
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作者：Tang, Tianyu; Lu, Jianquan; Lou, Jungang
作者单位：Southeast University - China; Huzhou Normal University
摘要：Finite-valued dynamic systems (FVDSs) are a class of networked systems characterized by quantized information arising from channel communication constraints or logical alternatives, encompassing some classical models including Boolean networks and finite-field networks. By virtue of their finite-cardinal features, we can represent the dynamics of FVDSs by edge-labeled graphs. In this article, we study the strongly/weakly dominant problems of vertices on this kind of edge-labeled graphs under b...
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作者：Chen, Yitian; Molloy, Timothy L.; Summers, Tyler; Shames, Iman
作者单位：Australian National University; University of Texas System; University of Texas Dallas; University of Melbourne
摘要：We propose a new framework for solving online linear quadratic (LQ) control problems with time-varying cost matrices that are known only up to the current time or over a short preview window. Our framework involves using revealed cost matrices to predict the unknown optimal trajectory, and then using a tracking controller to drive the system toward this prediction. We adopted the notion of dynamic regret to measure and bound the resulting quality of control decisions with and without system di...
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作者：Riesmeier, Marcus; Woittennek, Frank
摘要：Late-lumping feedback design for infinite-dimensional linear systems with unbounded input operators is considered. The proposed scheme is suitable for the approximation of backstepping and flatness-based designs and relies on a decomposition of the feedback into a bounded and an unbounded part. Approximation applies to the bounded part only, while the unbounded part is assumed to allow for an exact realization. Based on spectral results, the convergence of the closed-loop dynamics to the desir...
