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作者:Guan, Yacun; Yang, Hao; Jiang, Bin
作者单位:Nanjing University of Aeronautics & Astronautics
摘要:This article addresses the approximate and exact controllability issues of switched infinite-dimensional linear systems. First, a controllability map that is related to switching sequence and a controllability Gramian operator are proposed, based on which two necessary and sufficient conditions are established for approximate and exact controllability, respectively. Second, it shows that the obtained conditions can degenerate into the existing controllability criteria of infinite-dimensional l...
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作者:Marelli, Damian Edgardo; Xu, Yong; Fu, Minyue; Huang, Zenghong
作者单位:Guangdong University of Technology; University of Newcastle
摘要:The distributed optimization problem is set up in a collection of nodes interconnected via a communication network. The goal is to find the minimizer of a global objective function formed by the sum of local functions known at individual nodes. A number of methods, having different advantages, are available for addressing this problem. The goal of this article is to achieve the maximum possible convergence rate. As the first step toward this end, we propose a new method, which we show converge...
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作者:Tanwani, Aneel
作者单位:Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS)
摘要:The problem of filter design is considered for continuous-time linear stochastic systems using distributed sensors. Each sensor unit, represented by a node in an undirected and connected graph, collects some information about the state and communicates its own estimate with the neighbors. It is stipulated that this communication between sensor nodes connected by an edge is time-sampled randomly and for each edge, the sampling process is an independent Poisson counter. Our proposed filtering al...
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作者:Wu, Dongjun; Duan, Guang-Ren
作者单位:Harbin Institute of Technology; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
摘要:In this article, we report several new geometric and Lyapunov characterizations of incrementally stable systems on Finsler and Riemannian manifolds. A new and intrinsic proof of an important theorem in contraction analysis is given via the complete lift of the system. Based on this, two Lyapunov characterizations of incrementally stable systems are derived, namely, converse contraction theorems, and revelation of the connection between incremental stability and stability of an equilibrium poin...
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作者:Kircher, Alexandre; Bako, Laurent; Blanco, Eric; Benallouch, Mohamed
作者单位:Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS)
摘要:This article proposes a class of resilient state estimators for linear time-varying discrete-time systems. The dynamic equation of the system is assumed to be affected by a bounded process noise. As to the available measurements, they are potentially corrupted by a noise of both dense and impulsive natures. The latter, in addition to being arbitrary in its form, need not be strictly bounded. In this setting, we construct the estimator as the set-valued map, which associates with the measuremen...
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作者:Xing, Wei; Zhao, Xudong; Basar, Tamer; Xia, Weiguo
作者单位:Dalian University of Technology; University of Illinois System; University of Illinois Urbana-Champaign
摘要:This article considers remote state estimation in cyber-physical systems (CPSs) with multiple sensors. Each plant is modeled by a discrete-time stochastic linear system with measurements of each sensor transmitted to the corresponding remote estimator over a shared communication network when their securities are interdependent due to network-induced risks. A dynamic nonzero-sum game with asymmetric information is formulated in which each sensor subject to a resource budget constraint needs to ...
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作者:Katz, Rami; Fridman, Emilia
作者单位:Tel Aviv University
摘要:Finite-dimensional observer-based controller design for PDEs is a challenging problem. Recently, such controllers were introduced for the one dimensional (1D) heat equation, under the assumption that one of the observation or control operators is bounded. This article suggests a constructive method for such controllers for 1D parabolic partial differential equations (PDEs) with both observation and control operators being unbounded. We consider the Kuramoto-Sivashinsky equation under either bo...
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作者:Fontan, Angela; Altafini, Claudio
作者单位:Linkoping University
摘要:In this article, we consider a collective decision-making process in a network of agents described by a nonlinear interconnected dynamical model with sigmoidal nonlinearities and signed interaction graph. The decisions are encoded in the equilibria of the system. The aim is to investigate this multiagent system when the signed graph representing the community is not structurally balanced and in particular as we vary its frustration, i.e., its distance to structural balance. The model exhibits ...
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作者:Gaudio, Joseph E.; Annaswamy, Anuradha M.; Lavretsky, Eugene; Bolender, Michael A.
作者单位:Massachusetts Institute of Technology (MIT); Boeing
摘要:This article presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error trajectories to tend exponentially fast toward a compact set whenever excitation conditions are satisfied. This algorithm is employed in a large class of problems where unknown parameters are present and are time-varying. It is shown that this algorithm guara...
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作者:Lei, Jinlong; Yi, Peng; Chen, Jie; Hong, Yiguang
作者单位:Tongji University; Tongji University; Tongji University; Tongji University
摘要:In this article, we consider distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient observations, distributedness of local functions, and randomness of communication topologies, distributed algorithms with an exact convergence guarantee under fixed step-sizes have not been achieved yet. This work incorporates variance reduction sch...