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The problem of consensus in the presence of adversarially behaving agents has been studied extensively in the literature. The proposed algorithms typically guarantee that the consensus value lies within the convex hull of initial normal…

Systems and Control · Electrical Eng. & Systems 2019-06-20 James Usevitch , Dimitra Panagou

Distributed averaging of agent initial conditions is a well-studied problem in context of networked systems where coordination amongst the agents is of paramount importance. The asymptotic nature of convergence of distributed averaging…

Optimization and Control · Mathematics 2017-04-28 Mangal Prakash , Saurav Talukdar , Sandeep Attree , Sourav Patel , Murti V. Salapaka

We study the performance of asymptotic and approximate consensus algorithms under harsh environmental conditions. The asymptotic consensus problem requires a set of agents to repeatedly set their outputs such that the outputs converge to a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-28 Matthias Függer , Thomas Nowak , Manfred Schwarz

In this paper, we study the consensus problem for continuous-time and discrete-time multi-agent systems in state-dependent switching networks. In each case, we first consider the networks with fixed connectivity, in which the communication…

Systems and Control · Computer Science 2014-12-17 Gangshan Jing , Yuanshi Zheng , Long Wang

This paper investigates the fixed-time consensus problem for a class of multi-agent systems with simple dynamics. Unlike the traditional way to realize fixed-time convergence, a novel strategy using the property of periodic functions is…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Yuquan Chen , Fumian Wang , Bing Wang

This paper investigates the effect of constant time delay in weakly connected multi-agent systems modeled by double integrator dynamics. A novel analytical approach is proposed to establish an upper bound on the permissible time delay that…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Layan Badran , Kiarash Aryankia , Rastko R. Selmic

Autonomous agents are promising in applications such as intelligent transportation and smart manufacturing, and scheduling of agents has to take their inertial constraints into consideration. Most current researches require the obedience of…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Feihong Yang , Yuan Shen

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

Statistical Mechanics · Physics 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

In this paper, an optimal consensus problem with local inequality constraints is studied for a network of single-integrator agents. The goal is that a group of single-integrator a gents rendezvous at the optimal point of the sum of local…

Dynamical Systems · Mathematics 2018-03-14 Amir Adibzadeh , Mohsen Zamani , Amir A. Suratgar , Mohammad B. Menhaj

Guaranteed-cost consensus for high-order nonlinear multi-agent networks with switching topologies is investigated. By constructing a time-varying nonsingular matrix with a specific structure, the whole dynamics of multi-agent networks is…

Systems and Control · Computer Science 2018-02-23 Jianxiang Xi , Zhiliang Fan , Hao Liu , Tang Zheng

We present two main theorems along the lines of Lyapunov's second method that guarantee asymptotic state consensus in multi-agent systems of agents in R^m with switching interconnection topologies. The two theorems complement each other in…

Systems and Control · Computer Science 2014-04-02 Johan Thunberg , Xiaoming Hu

The paper studies the problem of achieving consensus in multi-agent systems in the case where the dependency digraph $\Gamma$ has no spanning in-tree. We consider the regularization protocol that amounts to the addition of a dummy agent…

Optimization and Control · Mathematics 2018-08-17 Rafig Agaev , Pavel Chebotarev

Solving an output consensus problem in multi-agent systems is often hindered by multiple time-variant delays. To address such fundamental problems over time, we present a new optimal time-variant distributed control for linearly perturbed…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Milad Gholami

This paper concerns the consensus of discrete-time multi-agent systems with linear or linearized dynamics. An observer-type protocol based on the relative outputs of neighboring agents is proposed. The consensus of such a multi-agent system…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Guanrong Chen

We consider a two-level discrete-time control framework with real-time constraints where a central controller issues setpoints to be implemented by local controllers. The local controllers implement the setpoints with some approximation and…

Optimization and Control · Mathematics 2016-12-22 Andrey Bernstein , Niek J. Bouman , Jean-Yves Le Boudec

This paper studies a central planner's decision making on behalf of a group of members with diverse discount rates. In the context of optimal stopping, we work with an aggregation preference to incorporate all discount rates via an attitude…

Mathematical Finance · Quantitative Finance 2025-10-15 Shuoqing Deng , Xiang Yu , Jiacheng Zhang

Reaching consensus among states of a multi-agent system is a key requirement for many distributed control/optimization problems. Such a consensus is often achieved using the standard Laplacian matrix (for continuous system) or Perron matrix…

Systems and Control · Computer Science 2017-07-25 Zheming Wang , Chong Jin Ong

This paper investigates the consensus problem for nonlinear heterogeneous multi-agent systems with limited communication data rate. Each agent is modeled by a higher-order strict-feedback continuous-time system with unknown nonlinearities…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Maopeng Ran , Lihua Xie

In this paper, we present new results on consensus for continuous-time multi- agent systems. We introduce the assumptions of persistent connectivity of the interaction graph and of slow divergence of reciprocal interaction weights.…

Optimization and Control · Mathematics 2012-11-07 Samuel Martin , Antoine Girard

We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we focus here on first-order discretizations of such systems.…

Optimization and Control · Mathematics 2024-04-12 Martin Gugat , Michael Herty , Jiehong Liu , Chiara Segala