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作者:Maghenem, Mohamed; Panteley, Elena; Loria, Antonio
作者单位:Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay
摘要:We investigate conditions under which heterogeneous nonlinear systems, interconnected over a directed static network, may achieve synchrony. Due to the network's heterogeneity, complete synchronization is impossible in general, but an emergent dynamics arises. This may be characterized by two dynamical systems evolving in two timescales. The first, which is slow, corresponds to the dynamics of the network on the synchronization manifold. The second, which is fast, corresponds to that of the sy...
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作者:Martin, Tim; Allgoewer, Frank
作者单位:University of Stuttgart
摘要:In the context of data-driven control of nonlinear systems, many approaches lack of rigorous guarantees, call for nonconvex optimization, or require knowledge of a function basis containing the system dynamics. To tackle these drawbacks, we establish a polynomial representation of nonlinear functions based on a polynomial sector by Taylor's theorem and a set-membership for Taylor polynomials. The latter is obtained from finite noisy samples. By incorporating the measurement noise, the error of...
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作者:Zheng, Kangze; Li, Shuai; Zhang, Yunong
作者单位:Sun Yat Sen University; University of Oulu; VTT Technical Research Center Finland
摘要:Nonlinear equation systems are ubiquitous in a variety of fields, and how to tackle them has drawn much attention, especially dynamic ones. As a particular class of recurrent neural network, the zeroing neural network (ZNN) takes time-derivative information into consideration, and thus, is a competent approach to dealing with dynamic problems. Hitherto, two kinds of ZNN models have been developed for solving systems of dynamic nonlinear equations. One of them is explicit, involving the computa...
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作者:Kim, Taekyoo
作者单位:Korea Railroad Research Institute (KRRI)
摘要:Despite various physical applications, state-space identification for continuous-time dynamic systems with noisy sampled data is less popular than discrete-time systems owing to unmeasurable state derivatives. Consequently, its scope is limited to linear or preparameterized systems. In this study, we formulate the identification as a (nonparametric) kernel regression problem applicable to nonlinear dynamic systems, which facilitates the joint assessment of the data fitness and fidelity of dyna...
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作者:Li, Yifei; Wang, Xin; Sun, Jian; Wang, Gang; Chen, Jie
作者单位:Beijing Institute of Technology; Tongji University; Beijing Institute of Technology
摘要:This article considers self-triggered consensus control (STC) of unknown linear multiagent systems (MASs). Self-triggering mechanisms (STMs) are widely used in MASs, thanks to their advantages in avoiding continuous monitoring and saving computing and communication resources. However, existing results require the knowledge of system matrices, which are difficult to obtain in real-world settings. To address this challenge, we present a data-driven approach to designing STMs for unknown MASs bui...
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作者:Zhao, Rui; Zuo, Zhiqiang; Shi, Yang; Wang, Yijing; Zhang, Wentao
作者单位:Tianjin University; University of Victoria; Nanyang Technological University; Nanyang Technological University
摘要:This article studies the security problem for switched systems when the sensor-to-controller and controller-to-actuator channels are compromised by cooperative attacks. The attack is expected to be as stealthy as possible, regardless of whether system mode is eavesdropped or not. The conditions that the attack sequence needs to meet are given, along with the stealthy guarantee when the attacker has access to system mode information. It is shown that whenever the mode is unknown, the correspond...
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作者:Bianchin, Gianluca; Vaquero, Miguel; Cortes, Jorge; Dall'Anese, Emiliano
作者单位:IE University; University of California System; University of California San Diego; University of Colorado System; University of Colorado Boulder
摘要:This article proposes a data-driven control framework to regulate an unknown stochastic linear dynamical system to the solution of a stochastic convex optimization problem. Despite the centrality of this problem, most of the available methods critically rely on a precise knowledge of the system dynamics, thus requiring offline system identification. To solve the control problem, we first show that the steady-state gain of the transfer function of a linear system can be computed directly from h...
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作者:Miranda-Villatoro, Felix A.; Castanos, Fernando; Franci, Alessio
作者单位:Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional; University of Liege; Universidad Nacional Autonoma de Mexico
摘要:Linear complementarity problems provide a powerful framework to model nonsmooth phenomena in dynamical control systems. Mimicking the general strategy that led to the foundation of bifurcation theory in smooth maps, we introduce a novel notion of equivalence between linear complementarity problems that sets the basis for a theory of bifurcations in a large class of nonsmooth maps, including steady-state bifurcations in linear complementarity systems. Our definition leads to constructive algebr...
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作者:Plate, Christoph; Sager, Sebastian; Stoll, Martin; Tetschke, Manuel
作者单位:Max Planck Society; Otto von Guericke University; Technische Universitat Chemnitz; Otto von Guericke University; Otto von Guericke University
摘要:Mixed-integer optimal control problems arise in many practical applications combining nonlinear, dynamic, and combinatorial features. To cope with the resulting complexity, several approaches have been suggested in the past. Some of them rely on solving a reformulated and relaxed control problem, referred to as partial outer convexification (POC). Inspired by an efficient algorithm for switching time optimization by Stellato and coworkers, SwitchTimeOpt.jl, we developed an algorithmic approach...
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作者:Isaly, Axton; Patil, Omkar Sudhir; Sweatland, Hannah M.; Sanfelice, Ricardo G.; Dixon, Warren E.
作者单位:State University System of Florida; University of Florida; University of California System; University of California Santa Cruz
摘要:Ensuring the safety (formally, forward invariance) of control systems using control barrier functions typically requires being overly conservative when the dynamics of the control system are uncertain. In this work, we develop a disturbance observer based on the robust integral of the sign of the error (RISE) control paradigm that exponentially identifies the unknown dynamics when certain gain conditions are satisfied. The estimate of the dynamics is used in an optimization-based control law t...