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作者:Belabbas, Mohamed-Ali; Chen, Xudong
作者单位:University of Illinois System; University of Illinois Urbana-Champaign; University of Illinois System; University of Illinois Urbana-Champaign; Washington University (WUSTL)
摘要:In a recent article (Belabbas et al., 2022), we have exhibited a set of conditions that are necessary for the $H$-property to hold for the class of step-graphons. In this article, we prove that these conditions are essentially sufficient.
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作者:Massiani, Pierre-Francois; Buisson-Fenet, Mona; Solowjow, Friedrich; Di Meglio, Florent; Trimpe, Sebastian
作者单位:RWTH Aachen University; Universite PSL; MINES ParisTech; Ansys, Inc.; Ansys France
摘要:Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from measurement data. The presence of noise further complicates this analysis, as standard notions of distinguishability are tailored to deterministic systems. In this article, we build on distributional distinguishability, which extends the deterministic notion by compar...
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作者:Mohsenipour, Reza; Liu, Guangjun
作者单位:Toronto Metropolitan University; University of Cambridge
摘要:This article presents a solution for the problem of flexible single-link robotic manipulators control in the frequency domain based on a full-order transfer function model. A transfer function model is derived from the partial differential equations of the flexible single-link manipulator system without any model order reduction. Conditions are obtained for the stability of the derived model that takes into account the payload mass changes. Employing these conditions, desired regions are obtai...
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作者:Selivanov, Anton; Fridman, Emilia
作者单位:University of Sheffield; Tel Aviv University
摘要:Recently, a constructive approach to the design of finite-dimensional observer-based controller has been proposed for parabolic partial differential equations (PDEs). This article extends it to hyperbolic PDEs. Namely, we design a finite-dimensional, output-feedback, boundary controller for a wave equation with in-domain viscous friction. The control-free system is unstable for any friction coefficient due to an external force. Our approach is based on modal decomposition: an observer-based co...
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作者:Xu, Haofeng; Zhu, Quanxin; Zheng, Wei Xing
作者单位:Hunan Normal University; Western Sydney University
摘要:This article is devoted to stability analysis of stochastic nonlinear delay systems subject to multiple periodic impulses. By means of the stochastic analysis technique and improved Razumikhin method, we obtain several novel stability criteria under the combined action of impulsive disturbance and impulsive control. It is worth noting that the definition of globally weakly stochastically exponential stability is introduced and this article is the first attempt to study such stability notion fo...
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作者:Ye, Hefu; Song, Yongduan; Zhang, Zhirong; Wen, Changyun
作者单位:Chongqing University; Nanyang Technological University
摘要:It is practically interesting to achieve global event-triggered control for mismatched uncertain nonlinear systems subject to sensor and actuator faults. In this article, we present a low-conservative solution and consider the output-feedback scenario. The design and analysis innovations include the following: 1) by using a scaling transformation with its gain being online tuned dynamically, we convert the original system with constant coefficients into one with dynamic coefficients, allowing ...
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作者:van Waarde, Henk J.; Eising, Jaap; Camlibel, M. Kanat; Trentelman, Harry L.
作者单位:University of Groningen; University of California System; University of California San Diego
摘要:This article deals with data-driven stability analysis and feedback stabilization of linear input-output systems in autoregressive (AR) form. We assume that noisy input-output data on a finite time-interval have been obtained from some unknown AR system. Data-based tests are then developed to analyze whether the unknown system is stable, or to verify whether a stabilizing dynamic feedback controller exists. If so, stabilizing controllers are computed using the data. In order to do this, we emp...
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作者:Bastianello, Nicola; Carli, Ruggero; Zampieri, Sandro
作者单位:Royal Institute of Technology; University of Padua
摘要:In this article, we propose a model-based approach to the design of online optimization algorithms, with the goal of improving the tracking of the solution trajectory (trajectories) w.r.t. state-of-the-art methods. We focus first on quadratic problems with a time-varying linear term, and use digital control tools (a robust internal model principle) to propose a novel online algorithm that can achieve zero tracking error by modeling the cost with a dynamical system. We prove the convergence of ...
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作者:Dong, Weijie; Yin, Xiang; Li, Shaoyuan
作者单位:Shanghai Jiao Tong University; Shanghai Jiao Tong University
摘要:However, the notion of fairness is different from our setting here. Specifically, existing works assume that the dynamic of the system is fair in the sense that each transition can be executed for infinite number of times whenever it is enabled infinitely. However, the observation mappings considered therein are still statically modeled as a natural projection. In contrast, we impose fairness constraint on the observation mapping rather than the internal behavior of the system the system's dyn...
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作者:Sultangazin, Alimzhan; Pannocchi, Luigi; Fraile, Lucas; Tabuada, Paulo
作者单位:University of California System; University of California Los Angeles; University of California System; University of California Los Angeles; Scuola Superiore Sant'Anna
摘要:this article, we revisit the problem of learning a stabilizing controller from a finite number of demonstrations by an expert. By first focusing on feedback linearizable systems, we show how to combine expert demonstrations into a stabilizing controller, provided that demonstration trajectories are sufficiently long and there are at least n + 1 of them, where n is the number of states of the system being controlled. When we have more than n + 1 demonstration trajectories, we discuss how to opt...