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作者:Talebi, Soroush; Ataei, Mohammad; Pepe, Pierdomenico
作者单位:University of Isfahan; University of L'Aquila
摘要:This note argues over the existence of invariantly differentiable functionals for globally exponentially stable time-delay systems. We show that the existence of invariantly differentiable, Lipschitz on bounded sets Lyapunov-Krasovskii functional is a necessary and sufficient condition for the global exponential stability of time-invariant nonlinear systems described by retarded functional differential equations with discrete type delay. The presented converse results are in terms of the invar...
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作者:Ye, Lintao; Zhu, Hao; Gupta, Vijay
作者单位:Huazhong University of Science & Technology; Huazhong University of Science & Technology; University of Texas System; University of Texas Austin; Purdue University System; Purdue University
摘要:In this article, we study the problem of control policy design for decentralized state-feedback linear quadratic control with a partially nested information structure, when the system model is unknown. We propose a model-based learning solution, which consists of two steps. First, we estimate the unknown system model from a single system trajectory of finite length, using least squares estimation. Next, based on the estimated system model, we design a decentralized control policy that satisfie...
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作者:Zhang, Xianfu; Chen, Xiandong; Wen, Changyun
作者单位:Shandong University; Nanyang Technological University
摘要:This article studies the global feedback regulation problems for triangular nonlinear systems perturbed by matched disturbances and modeling uncertainties with unknown system parameters. Instead of constructing extended state observers, new integral controllers composed of an integral dynamic are constructed to make all states of the uncertain systems bounded and asymptotically converge to zero. First, an integral dynamic is constructed and a new state transformation is introduced, which trans...
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作者:Koivumaki, Janne; Humaloja, Jukka-Pekka; Paunonen, Lassi; Zhu, Wen-Hong; Mattila, Jouni
作者单位:Tampere University; Tampere University; Canadian Space Agency
摘要:This study proposes an adaptive subsystem-based control (SBC) for systematic and straightforward nonlinear control of nth-order strict-feedback form (SFF) systems. By decomposing the SFF system to subsystems, a generic term (namely stability connector) can be created to address dynamic interactions between the subsystems. This 1) enables modular control design with global asymptotic stability, 2) such that the control design and its stability analysis can be performed locally at a subsystem le...
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作者:Liu, Wanchun; Quevedo, Daniel E.; Johansson, Karl Henrik; Vucetic, Branka; Li, Yonghui
作者单位:University of Sydney; Queensland University of Technology (QUT); Royal Institute of Technology
摘要:We investigate the stability conditions for remote state estimation of multiple linear time-invariant (LTI) systems over multiple wireless time-varying communication channels. We answer the following open problem: what is the fundamental requirement on the multisensor-multichannel system to guarantee the existence of a sensor scheduling policy that can stabilize the remote estimation system? In this note, we propose a novel policy construction and analytical framework and derive the necessary-...
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作者:Bemporad, Alberto
作者单位:IMT School for Advanced Studies Lucca
摘要:This article proposes an algorithm for solving multivariate regression and classification problems using piecewise linear predictors over a polyhedral partition of the feature space. The resulting algorithm that we call piecewise affine regression and classification (PARC) alternates between first, solving ridge regression problems for numeric targets, softmax regression problems for categorical targets, and either softmax regression or cluster centroid computation for piecewise linear separat...
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作者:Di Loreto, Michael; Eberard, Damien
作者单位:Ecole Centrale de Lyon; Universite Claude Bernard Lyon 1; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite de Toulouse; Universite Federale Toulouse Midi-Pyrenees (ComUE); Universite Toulouse III - Paul Sabatier; Institut National Polytechnique de Toulouse; Universite Toulouse 1 Capitole; Universite de Toulouse - Jean Jaures
摘要:Left inversion of linear time-invariant systems aims at identifying the input acting on a system, for the zero initial state, from partial information on the input and the state. In the present contribution, we propose to generalize such left inversion for linear systems in various directions that take arbitrary initial state into consideration to address both exact and asymptotic input reconstructions. Necessary and sufficient algebraic conditions are given to achieve such strong left inversi...
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作者:Giuseppi, Alessandro; Pietrabissa, Antonio
作者单位:Sapienza University Rome
摘要:Noncooperative or selfish routing problems emerge in several applications of network control theory. Considering a multicommodity setting subject to time-varying traffic demands, this article studies the convergence properties of a family of noncooperative routing control laws, originally developed in the literature for constant traffic demands. By employing results from hybrid systems theory and set stability, this article identifies the minimum time between bounded load variations to assure ...
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作者:Wang, Xing; Li, Bo; Li, Jr-Shin; Petersen, Ian R.; Shi, Guodong
作者单位:Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; Washington University (WUSTL); Australian National University; University of Sydney
摘要:This article presents graph theoretic conditions for the controllability and accessibility of bilinear systems over the special orthogonal group, the special linear group and the general linear group, respectively, in the presence of drift terms. The controlled terms are assumed to take place between pairwise states. Such bilinear systems naturally induce two interaction graphs: one graph from the drift, and another from the controlled dynamics. As a result, the system controllability or acces...
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作者:Zhang, Shiqi; Lv, Yuezu; Li, Zhongkui
作者单位:Peking University; Beijing Institute of Technology
摘要:In this article, we study the robustness of the event-triggered consensus algorithms against frequency-domain uncertainties. It is revealed that the sampling errors resulted by event triggering are essentially images of linear finite-gain $\mathcal {L}_{2}$-stable operators acting on the consensus errors of the sampled states and the event-triggered mechanism is equivalent to a negative feedback loop introduced additionally to the feedback system. In virtue of this, the robust consensus proble...