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作者：Mei, Jie; Ren, Wei; Song, Yongduan
作者单位：Harbin Institute of Technology; University of California System; University of California Riverside; Chongqing University
摘要：Due to the nonsymmetric property of the associated Laplacian matrix and the existence of uncertainties in the agent dynamics, the leaderless consensus problem of uncertain multiagent systems under general directed graphs is challenging. Motivated by the classical model reference adaptive control, in this article, we propose a simple yet efficient scheme, called the model reference adaptive consensus, by arranging each agent a reference output to track, where the output is generated by a linear...
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作者：Simard, Joel D.; Astolfi, Alessandro
作者单位：Imperial College London; University of Rome Tor Vergata
摘要：We introduce a novel method of model reduction for nonlinear systems by extending the Loewner framework developed for linear time-invariant systems. This objective is achieved by defining Loewner functions obtained by utilizing a state-space interpretation of the Loewner matrices. A Loewner equivalent model using these functions is derived. This allows constructing reduced order models achieving interpolation in the Loewner sense.
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作者：Zhao, Zhi-Xue; Guo, Bao-Zhu; Han, Zhong-Jie
作者单位：Tianjin Normal University; North China Electric Power University; Foshan University; Tianjin University
摘要：This article investigates an inverse problem of determining the spatially variable diffusion coefficient of a one-dimensional heat equation with an unknown spatial varying source term and initial value. The big challenge of the problem comes from the multiple unknowns and very limited available data that are only boundary control and boundary observation at one end, in addition to the ill-posed nature of the inverse problem. We first design a switch ON/OFF boundary control and show that the di...
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作者：Zhou, Bin; Shi, Yang
作者单位：Harbin Institute of Technology; University of Victoria
摘要：This article studies the problem of prescribed-time global stabilization of a class of nonlinear systems, where the nonlinear functions are unknown but satisfy a linear growth condition. By using solutions to a class of parametric Lyapunov equations containing a time-varying parameter that goes to infinity as the time approaches the prescribed settling time, linear time-varying feedback is designed explicitly to solve the considered problem, with the help of a Lyapunov-like function. It is sho...
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作者：Hauswirth, Adrian; Bolognani, Saverio; Hug, Gabriela; Doerfler, Florian
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich
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作者：Meng, Deyuan; Zhang, Jingyao
作者单位：Beihang University; Beihang University
摘要：This article is aimed at realizing cooperative learning for networked multiagent systems subject to uncertain nonlinear dynamics and switching topologies. A distributed control protocol is proposed by integrating the nearest neighbor rules and iterative updating rules. Thanks to cooperative learning, all agents can be ensured to track any prescribed reference robustly over any finite interval, regardless of the nonidentical locally Lipschitz nonlinearities of agents, initial state shifts, and ...
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作者：Church, Kevin E. M.; Liu, Xinzhi
作者单位：McGill University; University of Waterloo
摘要：We propose an impulsive stabilization method for delay equations based on a reduction to the center-unstable manifold. Our approach does not make use of the constructions of Lyapunov's direct method, such as Lyapunov functions or functionals. Necessary and sufficient conditions for when a system can be stabilized by impulses are derived based on these ideas, which subsequently lead to impulsive stabilization heuristics that are amenable to implementation in a scientific computing environment. ...
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作者：Karmakar, Prasenjit; Bhatnagar, Shalabh
作者单位：Indian Institute of Science (IISC) - Bangalore; Technion Israel Institute of Technology; Indian Institute of Science (IISC) - Bangalore; Bosch; Indian Institute of Science (IISC) - Bangalore
摘要：This article compiles several aspects of the dynamics of stochastic approximation algorithms with Markov iterate-dependent noise when the iterates are not known to be stable beforehand. We achieve the same by extending the lock-in probability (i.e., the probability of convergence of the iterates to a specific attractor of the limiting ordinary differential equation (o.d.e.) given that the iterates are in its domain of attraction after a sufficiently large number of iterations (say) n(0)) frame...
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作者：Zhang, Jin; Fridman, Emilia
作者单位：Tel Aviv University
摘要：In the present article, we consider network-based control of linear systems with state multiplicative noise. For the sensor-controller network, round-robin, try-once-discard, and independent and identically distributed protocols are proposed to orchestrate the measurement transmission from multiple sensor nodes. By using the time-delay approach to networked control systems, sufficient conditions for the exponential mean-square stability are obtained in terms of linear matrix inequalities. More...
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作者：Cetinkaya, Ahmet; Kishida, Masako
作者单位：Research Organization of Information & Systems (ROIS); National Institute of Informatics (NII) - Japan
摘要：Strictly unstable linear systems under additive and nonvanishing stochastic noise with unbounded supports are known to be impossible to stabilize by using deterministically constrained control inputs. In this article, similar impossibility results are obtained for the scenarios where the control input is probabilistically constrained and the support of the noise distribution is not necessarily unbounded. In particular, control policies that have bounded time-averaged second moments are conside...
