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作者：Yuan, Shuai; Lv, Maolong; Baldi, Simone; Zhang, Lixian
作者单位：Harbin Institute of Technology; Delft University of Technology; Southeast University - China
摘要：This article investigates the stability of continuous-time switched linear systems with dwell-time constraints. A fresh insight into this established problem is provided via novel stability conditions that require the solution to a family of differential Lyapunov equations and algebraic Lyapunov equations. The proposed analysis, which leads to a peculiar Lyapunov function that is decreasing in between and at switching instants, enjoys the following properties: it achieves the same dwell time a...
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作者：Menini, Laura; Possieri, Corrado; Tornambe, Antonio
作者单位：University of Rome Tor Vergata; University of Rome Tor Vergata
摘要：In this article, uncertain continuous-time and discrete-time linear time-invariant systems are considered. The uncertainties are assumed to affect polynomially the dynamics of the system and they can be structured. The problem of computing the distance to internal instability of an internally exponentially stable nominal system is solved by using tools from algebraic geometry, thus extending previous results valid in case of unstructured uncertainties. The choice of the nominal system is formu...
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作者：Gambuzza, Lucia Valentina; Frasca, Mattia
作者单位：University of Catania
摘要：We consider the problem of steering a multiagent system to multiconsensus, namely a regime where groups of agents agree on a given value, which may be different from group to group. We first address the problem by using distributed proportional controllers that implement additional links in the network modeling the communication protocol among agents and introduce a procedure for the optimal selection of them. Both the cases of single integrators and of second-order dynamics are taken into acc...
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作者：Su, Lili; Vaidya, Nitin H.
作者单位：Massachusetts Institute of Technology (MIT); Georgetown University
摘要：We consider the problem of multiagent optimization wherein an unknown subset of agents suffer Byzantine faults and thus behave adversarially. We assume that each agent i has a local cost function f(i), and the overarching goal of the good agents is to collaboratively minimize a global objective that properly aggregates these local cost functions. To the best of our knowledge, we are among the first to study Byzantine-resilient optimization where no central coordinating agent exists, and we are...
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作者：Franceschelli, Mauro; Frasca, Paolo
作者单位：University of Cagliari; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Inria
摘要：In this article, we consider a class of multiagent network systems that we refer to as open multiagent systems (OMASs): in these multiagent systems, an indefinite number of agents may join or leave the network at any time. Focusing on discrete-time evolutions of scalar agents, we provide a novel theoretical framework to study the dynamical properties of OMASs. Specifically, we propose a suitable notion of stability and derive sufficient conditions for it. Our analysis regards the arrival/depar...
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作者：Garg, Kunal; Panagou, Dimitra
作者单位：University of Michigan System; University of Michigan
摘要：Continuous-time optimization is currently an active field of research in optimization theory; prior work in this area has yielded useful insights and elegant methods for proving stability and convergence properties of the continuous-time optimization algorithms. This article proposes novel gradient-flow schemes that yield convergence to the optimal point of a convex optimization problem within a fixed time from any given initial condition for unconstrained optimization, constrained optimizatio...
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作者：Li, Xiuxian; Feng, Gang
作者单位：City University of Hong Kong
摘要：This article addresses the problem of seeking a common fixed point for a finite collection of nonexpansive operators over time-varying multi-agent networks in real Hilbert spaces. Each operator is assumed to be only privately and approximately known to each individual agent, and all agents need to cooperate to solve this problem by local communications over time-varying networks. To handle this problem, inspired by the centralized inexact Krasnoselski.i-Mann iteration, we propose a distributed...
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作者：Mironchenko, Andrii; Prieur, Christophe; Wirth, Fabian
作者单位：University of Passau; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
摘要：We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume the Lyapunov stability of the uncontrolled system and consider general unstable systems. Using Lyapunov methods, we provide estimates for the region of attraction for the closed-loop system, given in terms of linear and bilinear matrix inequalities. We show that our results can be used with distributed as well as scalar boundary ...
