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作者：Chu, Hongjun; Yue, Dong; Zhang, Weidong; Xie, Xiangpeng
作者单位：Nanjing University of Posts & Telecommunications; Shanghai Jiao Tong University; Hainan University; Nanjing University of Posts & Telecommunications
摘要：In this note, we consider the problem of privacy preservation in consensus for general linear multiagent systems, where the system matrices and input and state trajectories are all private information and required to comprehensively preserve against honest-but-curious adversaries. To mitigate this problem, a novel isomorphism transformation approach is proposed in this note. Specifically, we first use an encoding isomorphism to map actual confidential agents to virtual isomorphic agents and th...
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作者：Duan, Yifei; Cai, Yongqiang
作者单位：Beijing Normal University
摘要：The universal approximation property (UAP) holds a fundamental position in deep learning, as it provides a theoretical foundation for the expressive power of neural networks. It is widely recognized that a composition of linear and nonlinear functions, such as the rectified linear unit (ReLU) activation function, can approximate continuous functions on compact domains. In this article, we extend this efficacy to a scenario containing dynamical systems with controls. We prove that the control f...
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作者：Fu, Jun; Wu, Xunhao
作者单位：Northeastern University - China
摘要：A novel and fully distributed optimization method is proposproed for the distributed robust convex program (DRCP) over a time-varying unbalanced directed network under the uniformly jointly strongly connected (UJSC) assumption. First, an approximated DRCP is introduced by discretizing the semi-infinite constraints into a finite number of inequality constraints to ensure tractability and restricting the right-hand side of the constraints with a positive parameter to ensure a feasible solution f...
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作者：Deaecto, Grace S.; Astolfi, Alessandro
作者单位：Universidade Estadual de Campinas; Imperial College London; University of Rome Tor Vergata
摘要：The stabilization problem for discrete-time switched nonlinear systems is studied under two different scenarios: time-dependent switching (open-loop control) and state-dependent switching (closed-loop control). In the first, global asymptotic stability of the zero equilibrium and a guaranteed performance are ensured by a switching rule subject to a persistent dwell time condition. In the second, a state-dependent switching function is designed to accomplish the same goals of stability and perf...
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作者：Fan, Chenchen; Lam, James; Xie, Xiaochen; Kwok, Ka-Wai
作者单位：Hong Kong Polytechnic University; University of Hong Kong; The University of Hong Kong Shenzhen Institute of Research & Innovation; Harbin Institute of Technology; Chinese University of Hong Kong; University of Hong Kong
摘要：Reachable set estimation of switched systems consisting entirely of unstable subsystems poses a challenge that remains unsolved, particularly when employing Lyapunov methods. In this work, a lemma for bounding the Lyapunov functions of switched continuous-time systems with dwell time confined to a bounded interval is proposed. For switched systems with all subsystems unstable, the main difficulty in estimating the reachable set is that conventional constant symmetric positive definite matrices...
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作者：Sun, Bowen; Dan, Gyorgy; Gross, James; Cao, Xianghui
作者单位：Southeast University - China; Royal Institute of Technology; Royal Institute of Technology
摘要：We investigate multiprocess remote estimation systems where sensors transmit sampling data of the physical processes to a remote estimator through a shared communication channel subject to the uncertain transmission time. Due to channel resource constraint, at most one sensor can transmit at a time. Therefore, for the sake of optimal estimation performance, it is required to address, for each sensor, when to perform sampling and when to transmit data. In this article, leveraging the recently e...
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作者：Bhattacharjee, Debraj; Moreschini, Alessio; Astolfi, Alessandro
作者单位：Imperial College London; University of Rome Tor Vergata
摘要：We study the model-reduction problem by moment matching for linear and nonlinear systems in a data-driven setting. We show that reduced-order models can be directly computed from input-output data without requiring knowledge of the structure of the signal generator or its internal state. The reduced-order models thus obtained match the moments of the unknown underlying system asymptotically. Our formulation provides a simple way to enforce additional constraints on the structure of the reduced...
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作者：Huang, Chao; Zhang, Hao; Wang, Zhuping
作者单位：Tongji University
摘要：Recently, system identification (SID) based on center manifold (CM) is proposed to identify polynomial nonlinear systems (PNSs) analytically. With this method, estimating the unknown parameters in the PNSs is converted to the problem of solving a set of recursively defined Sylvester equations (RSEs). However, the existing CM-based SID algorithm assumes the linearization of the PNS to be controllable. In this note, we propose a more general framework that allows for uncontrollable linearization...
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作者：Kaviani, Farzan; Markovsky, Ivan; Ossareh, Hamid R.
作者单位：University of Vermont; ICREA
摘要：We revisit the problem of predicting the output of a linear time-invariant (LTI) system using offline input-output data in the behavioral setting, without relying on parametric models. Existing works calculate the output predictions by projecting the recent data samples onto the column space of a Hankel matrix constructed from offline data, but the noise in these data renders these predictions inexact. While low-rank approximations, such as truncated singular value decomposition, have been pro...
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作者：Le Cadre, Helene; Datar, Mandar; Guckert, Mathis; Altman, Eitan
作者单位：Inria; Universite de Lille; Centre National de la Recherche Scientifique (CNRS); Centrale Lille; Avignon Universite; CEA; Universite Cote d'Azur
摘要：We consider a peer-to-peer electricity market modeled as a private network game, where end users minimize their cost by computing their demand and controllable generation. Their nominal demand constitutes sensitive information that they might want to keep private. We prove that the private network game admits a unique variational equilibrium, which depends on the private information of all end users. Thus, to update their strategy, end users rely on randomized readings. A data aggregator is in...
