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作者:Vernerey, Flora; Riedinger, Pierre; Daafouz, Jamal
作者单位:Universite de Lorraine; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine; Institut Universitaire de France
摘要:The primary objective of this article is to demonstrate that problems related to stability and robust control in the harmonic context can be effectively addressed by formulating them as semidefinite optimization problems, invoking the concept of infinite-dimensional Toeplitz block linear matrix inequalities (TBLMIs). One of the central challenges tackled in this study pertains to the efficient resolution of these infinite-dimensional TBLMIs. Exploiting the structured nature of such problems, w...
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作者:Wang, Xinming; Yang, Jun; Liu, Cunjia; Yan, Yunda; Li, Shihua
作者单位:Southeast University - China; Loughborough University; University of London; University College London
摘要:Safety-critical control is significant for autonomous system applications where safety is an utmost concern. Control-barrier-function (CBF)-based control has shown its promising potential and power in delivering formal safe property of dynamic nonlinear systems. The presence of disturbances, whether from matched or unmatched channels, negatively impacts CBF-based control, leading to violations of formal safety guarantees and degraded control performance. In this article, a new safety-critical ...
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作者:Miranda-Villatoro, Felix A.
作者单位:Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Inria
摘要:In this article, a family of discrete-time, supertwisting-like algorithms is presented. The algorithms are naturally vector-valued and are described in an implicit fashion, reminiscent of backward-Euler discretization schemes. The well-posedness of the closed-loop is established and the robust stability, against a family of external disturbances, is thoroughly studied. Implementation strategies, involving splitting-algorithms from convex optimization, are also discussed and compared. Finally, ...
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作者:Wan, Peng; Zeng, Zhigang
作者单位:Wuhan University of Science & Technology; Huazhong University of Science & Technology
摘要:The extensively studied partial differential equation (PDE) systems evolve on continuous time and continuous space, which restricts the investigation scope of PDE systems. A parabolic PDE system on space-time scales is constructed for the first time. This article focuses on global exponential stabilization (GES) of a linear parabolic PDE systems on space-time scales by using point-based collocated and noncollocated observations. First, we give the definitions of space-time scales, which contai...
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作者:Xu, Ningsheng; Huang, Weiwen; Liang, Li; Deng, Fang
作者单位:Beijing Institute of Technology; Beijing Institute of Technology; Beijing Institute of Technology; Beijing University of Chemical Technology
摘要:This article investigates a two-lifeline differential game with two pursuers and one evader in a planar environment that is divided into a game area and two target areas by the two lifelines. The evader aims to enter the target area by passing through either of the two lifelines, eluding capture in the process. Conversely, the pursuers endeavor to capture the evader before it reaches one of the target areas. To construct the barrier, we first divide the two-lifeline differential game into two ...
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作者:Fabiani, Filippo; Bemporad, Alberto
作者单位:IMT School for Advanced Studies Lucca
摘要:To identify a stationary action profile for a population of competitive agents, each executing private strategies, we introduce a novel active-learning scheme where a centralized external observer (or entity) can probe the agents' reactions and recursively update simple local parametric estimates of the action-reaction mappings. Under very general working assumptions (not even assuming that a stationary profile exists), sufficient conditions are established to assess the asymptotic properties ...
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作者:Cabral, Leonardo; Valmorbida, Giorgio; da Silva Jr, Joao Manoel Gomes
作者单位:Universidade Federal do Rio Grande do Sul; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Inria; Universidade Federal do Rio Grande do Sul
摘要:In this article, we study the regional stability of discrete-time piecewise affine (PWA) systems. The proposed method for the stability analysis uses an implicit representation of PWA systems based on ramp functions, and it builds upon Linear Matrix Inequalities to verify the nonnegativity of piecewise quadratic (PWQ) functions in a given set. Verifying the nonnegativity of PWQ functions allows us to solve Lyapunov inequalities yielding a PWQ Lyapunov function of which a level set gives an est...
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作者:Zhou, Shuaiyu; Wei, Yiheng; Cao, Jinde; Liu, Yang
作者单位:Southeast University - China; Ahlia University Bahrain; Zhejiang Normal University
摘要:The prescribed-time convergence mechanism has garnered significant attention within the fields of optimization and control, primarily attributed to its ability for precise manipulation of target completion times. This article formulates sliding manifolds with prescribed-time stability, based on which two modified zero-gradient-sum (ZGS) algorithms are established. One of the optimization algorithms is developed based on a multistage structural framework and another is based on a single-stage o...
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作者:Polyakov, Andrey; Orlov, Yury
作者单位:Universite de Lille; Centre National de la Recherche Scientifique (CNRS); Inria
摘要:Finite/fixed-time control design procedure is developed for an infinite dimensional system modeled by abstract evolution equation in a Hilbert space. It is based on solving certain operator equations and inequalities. For a class of partial differential equation (PDE) models, the corresponding equations/inequalities are shown to be algebraic and solvable in many cases. Theoretical results are supported by examples of controlled PDE models.
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作者:Zhao, Dong; Shi, Yang; Ding, Steven X.; Li, Yueyang; Fu, Fangzhou
作者单位:Beihang University; University of Victoria; University of Duisburg Essen; University of Jinan; Sun Yat Sen University
摘要:The replay attack detection problem is studied from a new perspective based on the parity space method in this article. The proposed detection methods can distinguish system fault and replay attack, handle both input and output data replay, maintain certain control performance, and be implemented conveniently and efficiently. First, the replay attack effect on the residual is derived and analyzed. The residual change induced by replay attack is characterized explicitly, and the detection perfo...