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作者:Meijer, Tomas J.; Holicki, Tobias; van den Eijnden, Sebastiaan; Scherer, Carsten W.; Heemels, W. P. M. H. Maurice
作者单位:Eindhoven University of Technology; University of Stuttgart
摘要:The projection lemma (often also referred to as the elimination lemma) is one of the most powerful and useful tools in the context of linear matrix inequalities for system analysis and control. In its traditional formulation, the projection lemma only applies to strict inequalities, however, in many applications, we naturally encounter non-strict inequalities. As such, we present, in this article, a non-strict projection lemma that generalizes both its original strict formulation as well as an...
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作者:Salehi, Zeinab; Chen, Yijun; Ratnam, Elizabeth L.; Petersen, Ian R.; Shi, Guodong
作者单位:Australian National University; University of Sydney
摘要:In this article, we consider dynamic multiagent systems (MAS) for decentralized resource allocation. The MAS operate at a competitive equilibrium to ensure a balanced supply and demand for available resources. Example resources include energy in a microgrid and carbon permits in a carbon trading system. First, we investigate the MAS over a finite horizon, where the utility functions of agents are parameterized to incorporate individual preferences. We shape individual preferences through a set...
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作者:Wang, Yutian; Ni, Yuan-Hua; Chen, Zengqiang; Zhang, Ji-Feng
作者单位:Hong Kong Polytechnic University; Nankai University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要:This article aims to build a probabilistic framework for Howard's policy iteration algorithm using the language of forward-backward stochastic differential equations (FBSDEs). As opposed to conventional formulations based on partial differential equations, our FBSDE-based formulation can be easily implemented by optimizing criteria over sample data and is, therefore, less sensitive to the state dimension. In particular, both on-policy and off-policy evaluation methods are discussed by construc...
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作者:Chen, Wu-Hua; Niu, Shuning; Zheng, Wei Xing
作者单位:Guangxi University; Western Sydney University
摘要:This article presents a new sliding-mode control (SMC) design method for linear uncertain impulsive systems, where the sliding function is designed to be linear with a time-varying projection matrix. When the time-varying projection matrix satisfies a so-called continuity condition, the sliding function is continuous along the state trajectories, which will facilitate the analysis and design of SMC laws. To obtain a tractable design algorithm on the time-varying projection matrix, a regular fo...
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作者:Giaccagli, Mattia; Astolfi, Daniele; Andrieu, Vincent; Marconi, Lorenzo
作者单位:Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS); Universite Claude Bernard Lyon 1; University of Bologna
摘要:In this work, we address the problem of designing a control law for a system in feedforward form to be globally incrementally exponentially stable. To do that, we develop an incremental version of the so-called forwarding mod {LgV} approach. Then, we apply such a control design to the problem of compensating matched disturbances assumed to be given by the superimposition of a finite number of harmonics with unknown amplitude. For this, we propose a dynamic controller made of L linear oscillato...
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作者:Martinez-Piazuelo, Juan; Ocampo-Martinez, Carlos; Quijano, Nicanor
作者单位:Universitat Politecnica de Catalunya; Universidad de los Andes (Colombia)
摘要:This article addresses the problem of distributed Nash equilibrium (NE) seeking in strongly contractive aggregative multipopulation games subject to partial-decision information. In particular, we consider the scenario where the so-called payoff providers of the multiple populations communicate through a possibly noncomplete network, and we formulate some consensuslike dynamics for the payoff providers to distributedly compute their payoff signals using local information only. Moreover, by exp...
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作者:Zhou, Tong; Mu, Lingxia; Li, Yubing; Huang, Weichao
作者单位:Tsinghua University; Tsinghua University; Xi'an University of Technology
摘要:Conditions are investigated in this article for uniquely determining parameters of a descriptor system from time-domain noise-free input/output data, in which system matrices depend on its parameters through a linear fractional transformation. This model includes networked dynamic systems as its special cases. A bilinear matrix equality-based necessary and sufficient condition has been derived, which can be verified in principle for a low-dimensional system. Moreover, a computationally attract...
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作者:Cacace, Filippo; De Iuliis, Vittorio; Germani, Alfredo; Merone, Mario
作者单位:University Campus Bio-Medico - Rome Italy; University of L'Aquila
摘要:This article examines the application of regularization techniques and kernel methods in addressing the task of learning nonlinear dynamical systems from input-output data. Our assumption is that the estimator belongs to the space of polynomials composed of Hilbert-Schmidt operators, which ensures the ability to approximate nonlinear dynamics arbitrarily, even within bounded but noncompact data domains. By employing regularization techniques, we propose a finite-dimensional identification proc...
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作者:Chen, Kaiwen; Astolfi, Alessandro
作者单位:Imperial College London; University of Rome Tor Vergata
摘要:This article studies a small gain-like analysis and control synthesis tool for large-scale interconnected dynamical systems (networks). By exploiting the structure of the interconnection one can derive (or enforce it via control synthesis) an algebraic condition (the small gain-like condition) to allow the construction of a network storage function with a network dissipation inequality in a desired form (the small gain-like property), which can be further used for establishing convergence or s...
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作者:Qu, Chendi; He, Jianping; Li, Jialun; Duan, Xiaoming; Mo, Yilin
作者单位:Shanghai Jiao Tong University; Tsinghua University
摘要:This article studies the optimal control for mobile agents, aiming at achieving a tradeoff between the control performance and state unpredictability over a long time horizon. The main challenge lies in incorporating the state unpredictability requirement into the optimization problem and generalizing the algorithm to various models. Utilizing random perturbations to maximize the attackers' prediction errors of future states, we formulate the problem as a multiperiod convex stochastic optimiza...