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作者:Woolcock, Luke; Schmid, Robert
作者单位:University of Melbourne
摘要:The stability of interconnected linear time-invariant systems using singular values and the small-gain theorem has been studied for many decades. The methods of $\mu$-analysis and synthesis have been extensively developed to provide robustness guarantees for a plant subject to structured perturbations, with components in the structured perturbation satisfying a bound on their largest singular value. Recent results on phase-based stability measures have led to a counterpart of the small-gain th...
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作者:Bishop, Adrian N.; Bonilla, Edwin V.; Del Moral, Pierre
作者单位:Commonwealth Scientific & Industrial Research Organisation (CSIRO); Commonwealth Scientific & Industrial Research Organisation (CSIRO); CSIRO Data61; Inria
摘要:We consider approximations of the Bayesian optimal filtering problem, e.g., estimating some conditional statistics of a latent time-series signal from an observation sequence. Classical approaches often rely on the use of assumed or estimated transition and observation models. Instead, we formulate a generic recurrent neural network framework and seek to learn directly a recursive mapping from observational inputs to the desired estimator statistics. The main focus of this article is on the ap...
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作者:Ke, Jieming; Wang, Jimin; Zhang, Ji-Feng
作者单位:Chinese Academy of Sciences; Nanjing Institute of Geology & Paleontology, CAS; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; University of Science & Technology Beijing; Zhongyuan University of Technology
摘要:This article focuses on the privacy-preserving distributed estimation problem with a limited data rate, where the observations are the sensitive information. Specifically, a binary-valued quantizer-based privacy-preserving distributed estimation algorithm is developed, which improves the algorithm's privacy-preserving capability and simultaneously reduces the communication costs. The algorithm's privacy-preserving capability, measured by the Fisher information matrix, is dynamically enhanced o...
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作者:Tang, Tianyu; Lu, Jianquan; Lou, Jungang
作者单位:Southeast University - China; Huzhou Normal University
摘要:Finite-valued dynamic systems (FVDSs) are a class of networked systems characterized by quantized information arising from channel communication constraints or logical alternatives, encompassing some classical models including Boolean networks and finite-field networks. By virtue of their finite-cardinal features, we can represent the dynamics of FVDSs by edge-labeled graphs. In this article, we study the strongly/weakly dominant problems of vertices on this kind of edge-labeled graphs under b...
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作者:Lu, Kaihong; Zhang, Huanshui; Wang, Long
作者单位:Shandong University of Science & Technology; Peking University
摘要:In this article, the problem of distributively seeking the equilibria of aggregative games with bilevel structures is studied. Different from the traditional aggregative games, here, the aggregation is determined by the minimizer of a virtual leader's objective function in the inner level. Moreover, the global objective function of the virtual leader is formed by the sum of local functions, each of which is determined by the local action of a player. When making decisions, each player only has...
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作者:Cucuzzella, Michele; Borja, Pablo; Vacchini, Edoardo; Ferrara, Antonella; Scherpen, Jacquelien; van der Schaft, Arjan
作者单位:University of Plymouth; University of Pavia; University of Groningen
摘要:The design of suitablesliding manifolds remains one of the main bottlenecks in sliding mode control. This article proposes a strategy to address this problem for a broad class of nonlinear systems. To this end, we develop an original, systematic methodology to design stabilizing sliding manifolds for a class of nonlinear port-Hamiltonian (pH) systems. In particular, we exploit the pH structure of the system to design a sliding manifold, where the system preserves the desired passivity properti...
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作者:Donati, Cesare; Mammarella, Martina; Calafiore, Giuseppe C.; Dabbene, Fabrizio; Lagoa, Constantino; Novara, Carlo
作者单位:Polytechnic University of Turin; Consiglio Nazionale delle Ricerche (CNR); Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
摘要:This article presents a kernel-based framework for physics-informed nonlinear system identification that extends kernel-based techniques, accounting for unmodeled dynamics, to seamlessly embed partially known physics-based models, improving parameter estimation and overall model accuracy. The two models' components are identified from data simultaneously, thereby minimizing a suitable cost that balances the relative importance of the physical and the black-box parts of the model. In addition, ...
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作者:Lhachemi, Hugo; Munteanu, Ionut; Prieur, Christophe
作者单位:Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Alexandru Ioan Cuza University; Romanian Academy; Centre National de la Recherche Scientifique (CNRS); Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Institut National Polytechnique de Grenoble
摘要:This article studies the problem of output feedback stabilization of a nonlinear diffusion equation, generally referred to as the generalized porous media equation. This equation occurs in a number of physical phenomena involving fluid flow, heat transfer or nonlinear diffusion. The generalized porous media equation differs from classical reaction-diffusion equations due to the presence of a nonlinear version of the Laplacian operator. This nonlinearity induces numerous challenges in terms of ...
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作者:Meng, Yiming; Zhou, Ruikun; Ornik, Melkior; Liu, Jun
作者单位:University of Illinois System; University of Illinois Urbana-Champaign; University of Waterloo; University of Illinois System; University of Illinois Urbana-Champaign
摘要:A semigroup characterization, or equivalently, a characterization by the generator, is a classical technique used to describe continuous-time nonlinear dynamical systems. In the realm of data-driven learning for an unknown nonlinear system, one must estimate the generator of the semigroup of the system's transfer operators (also known as the semigroup of Koopman operators) based on discrete-time observations and verify convergence to the true generator in an appropriate sense. As the generator...
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作者:Pimpalkhare, Chinmay Makarand; Chatterjee, Debasish
作者单位:Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
摘要:This article presents a numerically viable technique for synthesizing feedback to ensure robust positive invariance of given compact sets for nonlinear control systems. The search for a suitable feedback is posed as a linear approximation problem in the functional analytic sense, and the verification of the so-called cone conditions for robust positive invariance is employed to achieve the ensuing approximation. This verification turns out to be equivalent to solving a compact family of convex...