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The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study of the time-delays influence: both constant and time-varying…

最优化与控制 · 数学 2020-10-02 Pierre-Alexandre Bliman , Giancarlo Ferrari-Trecate

This paper brings cooperative protocols for multi-agent systems with agents having a finite state-space. Both scalar single-integrator consensus and general LTI systems synchronization are considered. Systems having a finite state-space…

系统与控制 · 电气工程与系统科学 2026-04-17 Kristian Hengster-Movrić , Šimon Lehký , Farnaz Adib Yaghmaie

This paper addresses the problem of collaboratively satisfying long-term spatial constraints in multi-agent systems. Each agent is subject to spatial constraints, expressed as inequalities, which may depend on the positions of other agents…

系统与控制 · 电气工程与系统科学 2026-03-23 Farhad Mehdifar , Mani H. Dhullipalla , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

This paper investigates the consensus problem of general linear multi-agent systems under the framework of optimization. A novel distributed receding horizon control (RHC) strategy for consensus is proposed. We show that the consensus…

最优化与控制 · 数学 2014-06-25 Huiping Li , Weisheng Yan

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

最优化与控制 · 数学 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

We analyse the problem of meeting times for interdependent stochastic agents: random walkers whose behaviour is stochastic but controlled by their selections from some set of allowed actions, and the inference problem of when these agents…

概率论 · 数学 2025-10-10 Marco Sangalli , Erik Quaeghebeur , Thomas Krak

We consider multi-agent systems with cooperative interactions and study the convergence to consensus in the case of time-dependent connections, with possible communication failure. We prove a new condition ensuring consensus: we define a…

最优化与控制 · 数学 2025-09-03 Mohamed Bentaibi , Laura Caravenna , Jean-Paul A. Gauthier , Francesco Rossi

For binary mixtures of fluids without chemical reactions, but with components having different temperatures, the Hamilton principle of least action is able to produce the equation of motion for each component and a balance equation of the…

数学物理 · 物理学 2009-05-05 Henri Gouin , Tommaso Ruggeri

This paper studies the consensus problem of general linear discrete-time multi-agent systems (MAS) with input constraints and bounded time-varying communication delays. We propose a robust distributed model predictive control (DMPC)…

系统与控制 · 电气工程与系统科学 2022-09-20 Henglai Wei , Changxin Liu , Yang Shi

We study resilient leader-follower consensus of multi-agent systems (MASs) in the presence of adversarial agents, where agents' communication is modeled by time-varying topologies. The objective is to develop distributed algorithms for the…

多智能体系统 · 计算机科学 2024-11-18 Liwei Yuan , Hideaki Ishii

We study the (weak) equilibrium problem arising from the problem of optimally stopping a one-dimensional diffusion subject to an expectation constraint on the time until stopping. The weak equilibrium problem is realized with a set of…

概率论 · 数学 2024-06-14 Sören Christensen , Maike Klein , Boy Schultz

We consider the optimal control design problem for discrete-time LTI systems with state feedback, when the actuation signal is subject to unmeasurable switching propagation delays, due to e.g. the routing in a multi-hop communication…

系统与控制 · 计算机科学 2015-09-14 Antonio Cicone , Alessandro D'Innocenzo , Nicola Guglielmi , Linda Laglia

This paper focuses on consensus problems for high-order, linear multi-agent systems. Undirected communication topologies and fixed, uniform communication time delay are taken into account. This class of problems has been widely study in the…

最优化与控制 · 数学 2016-05-06 Rudy Cepeda-Gomez

In this article, we present a greedy algorithm based on a tensor product decomposition, whose aim is to compute the global minimum of a strongly convex energy functional. We prove the convergence of our method provided that the gradient of…

泛函分析 · 数学 2015-03-13 Eric Cances , Virginie Ehrlacher , Tony Lelievre

This paper provides a framework to characterize the gain margin, phase margin, and maximum input delay margin of a linear time-invariant multi-agent system where the interaction topology is described by a graph with a directed spanning…

最优化与控制 · 数学 2020-12-08 Rajnish Bhusal , Kamesh Subbarao

We investigate the time-asymptotic properties of solutions of the differential equation x''(t) + a(t)x'(t) + g(x(t)) = 0 in a Hilbert space, where a(.) is non-increasing and g is the gradient of a potential G. If the coefficient a(.) is…

经典分析与常微分方程 · 数学 2007-10-08 Alexandre Cabot , Hans Engler , Sebastien Gadat

We address the problem of minimal actuator placement in linear systems so that the volume of the set of states reachable with one unit or less of input energy is lower bounded by a desired value. First, following the recent work of…

最优化与控制 · 数学 2016-12-30 V. Tzoumas , M. A. Rahimian , G. J. Pappas , A. Jadbabaie

This paper addresses the problem of consensus tracking with fixed-time convergence, for leader-follower multi-agent systems with double-integrator dynamics, where only a subset of followers has access to the state of the leader. The control…

系统与控制 · 电气工程与系统科学 2026-02-19 Miguel A. Trujillo , Rodrigo Aldana-López , David Gomez Gutierrez , Michael Defoort , Javier Ruiz Leon , Hector M. Becerra

Interpolatory necessary optimality conditions for $\mathcal{H}_2$-optimal reduced-order modeling of unstructured linear time-invariant (LTI) systems are well-known. Based on previous work on $\mathcal{L}_2$-optimal reduced-order modeling of…

数值分析 · 数学 2024-09-23 Petar Mlinarić , Peter Benner , Serkan Gugercin

Usually, the relaxation times of a gas are estimated in the frame of the Boltzmann equation. In this paper, instead, we deal with the relaxation problem in the frame of the dynamical theory of Hamiltonian systems, in which the definition…

数学物理 · 物理学 2011-12-26 A. M. Maiocchi , A. Carati