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作者：Xu, Jiapeng; Gu, Guoxiang; Chen, Xiang
作者单位：University of Windsor; Louisiana State University System; Louisiana State University
摘要：This article proposes a new approach to studying the delay margin problem for general unstable linear time-invariant (LTI) systems, which addresses the question: What is the largest stabilizable delay range over all LTI controllers? The proposed approach converts the delay margin to the robust stabilization for LTI systems involving a positive uncertain parameter. The conformal mapping and Nevanlinna-Pick interpolation are employed to develop a unified numerical procedure for computing upper a...
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作者：Xue, Bai; Zhan, Naijun; Fraenzle, Martin; Wang, Ji; Liu, Wanwei
作者单位：Chinese Academy of Sciences; Institute of Software, CAS; Carl von Ossietzky Universitat Oldenburg; National University of Defense Technology - China
摘要：In this article, we propose novel sufficient conditions for verifying reach-avoid properties of continuous-time systems modeled by ordinary differential equations. Given a system, an initial set, a safe set, and a target set of states, we say that the reach-avoid property holds if, for all initial conditions in the initial set, any trajectory of the system starting at them will eventually, i.e., in unbounded yet finite time, enter the target set while remaining inside the safe set until that f...
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作者：Zhang, Yuan; Xia, Yuanqing; Zhan, Yufeng
作者单位：Beijing Institute of Technology
摘要：This article investigates several cost-sparsity-induced optimal input selection problems for structured systems. Given an autonomous system and a prescribed set of input links, where each input link has a nonnegative cost, the problems include selecting the minimum cost of input links and selecting the input links with the smallest possible cost while bounding their cardinality to achieve system structural controllability. Current studies show that in the dedicated input case, the former probl...
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作者：Deutscher, Joachim
作者单位：Ulm University
摘要：This article deals with the data-driven robust output regulation for continuous-time linear time-invariant (LTI) systems. Both the system and the signal form of disturbances are unknown. It is assumed that input-output data on a finite-time interval are available for the system in the presence of disturbances. By making use of the Koopman operator theory, the Koopman eigenvalues and modes of the system and the disturbance model are determined by applying the Krylov dynamic mode decomposition t...
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作者：Jafarpour, Saber; Harapanahalli, Akash; Coogan, Samuel
作者单位：University of Colorado System; University of Colorado Boulder; University System of Georgia; Georgia Institute of Technology
摘要：In this article, we propose a computationally efficient framework for interval reachability of systems with neural network controllers. Our approach leverages inclusion functions for the open-loop system and the neural network controller to embed the closed-loop system into a larger dimensional embedding system, where a single trajectory overapproximates the original system's behavior under uncertainty. We propose two methods for constructing closed-loop embedding systems, which account for th...
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作者：Li, Yuchao; Rantzer, Anders
作者单位：Royal Institute of Technology; Arizona State University; Arizona State University-Tempe; Lund University; Royal Institute of Technology
摘要：Recent work (Rantzer, 2022) formulated a class of optimal control problems involving positive linear systems, linear stage costs, and elementwise constraints on control. It was shown that the problem admits linear optimal cost and the associated Bellman's equation can be characterized by a finite-dimensional nonlinear equation, which is solved by linear programming. In this work, we report exact dynamic programming (DP) theories for the same class of problems. Moreover, we extend the results t...
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作者：Liu, Qinyuan; Wang, Zidong; Dong, Hongli; Jiang, Changjun
作者单位：Tongji University; Tongji University; Brunel University; Northeast Petroleum University; Northeast Petroleum University
摘要：This article is concerned with the problem of distributed Kalman filtering over sensor networks under two-bitrate periodic coding strategies. Initially, the optimal estimates for sensor individuals are acquired using the conventional Kalman filter. Subsequently, the information pair, consisting of the local estimate and the corresponding covariance, is exchanged among their immediate neighbors to achieve cooperative estimation. Due to the constrained network bandwidth, a vector/matrix quantiza...
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作者：Lu, Kaihong
作者单位：Shandong University of Science & Technology
摘要：In this article, online noncooperative games without full decision information are studied, where the goal of players is to seek the Nash equilibria in a distributed manner. Different from the existing works on online noncooperative games, here we consider the case where the cost functions are stochastic. In the problem, each player only has access to a noisy gradient of its own cost function and a local action set, and needs to make decisions before the current noisy gradient information is r...
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作者：Cheng, Haoshu; Huang, Jie
作者单位：Chinese University of Hong Kong
摘要：This article considers the problem of the bearing-based formation control with disturbance rejection for a group of agents under the leader-follower structure. The disturbances are in the form of trigonometric polynomials with arbitrary unknown amplitudes, unknown initial phases, and known or unknown frequencies. For the case of the known frequencies, we employ the canonical internal model to solve the problem, and, for the case of the unknown frequencies, we combine the canonical internal mod...
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作者：de Galland, Charles Monnoyer; Vizuete, Renato; Hendrickx, Julien M.; Panteley, Elena; Frasca, Paolo
作者单位：Fonds de la Recherche Scientifique - FNRS; Universite Catholique Louvain; Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Inria
摘要：We propose a method for analyzing the distributed random coordinate descent algorithm for solving separable resource allocation problems in the context of an open multiagent system, where agents can be replaced during the process. In particular, we characterize the evolution of the distance to the minimizer in expectation by following a time-varying optimization approach which builds on two components. First, we establish the linear convergence of the algorithm in closed systems, in terms of t...
