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In this paper, the optimal consensus problem for general nonlinear multi-agent systems is studied, where both leaderless and leader-follower cases are considered in a unified framework. The key idea is to convert consensus problems into…

最优化与控制 · 数学 2026-04-07 Ziyuan Guo , Chuanzhi lv , Liping Zhang , Huanshui Zhang

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

最优化与控制 · 数学 2020-12-01 Navid Rezazadeh , Solmaz S. Kia

This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

最优化与控制 · 数学 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

In the distributed optimization problem for a multi-agent system, each agent knows a local function and must find a minimizer of the sum of all agents' local functions by performing a combination of local gradient evaluations and…

最优化与控制 · 数学 2022-06-16 Bryan Van Scoy , Laurent Lessard

We consider the general problem of geometric task allocation, wherein a large, decentralised swarm of simple mobile agents must detect the locations of tasks in the plane and position themselves nearby. The tasks are represented by an a…

多智能体系统 · 计算机科学 2022-10-17 Michael Amir , Yigal Koifman , Yakov Bloch , Ariel Barel , Alfred M. Bruckstein

We consider a stochastic convex optimization problem that requires minimizing a sum of misspecified agentspecific expectation-valued convex functions over the intersection of a collection of agent-specific convex sets. This misspecification…

最优化与控制 · 数学 2015-09-22 Aswin Kannan , Angelia Nedich , Uday V. Shanbhag

We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

最优化与控制 · 数学 2014-04-21 Xuchao Lin , Christos G. Cassandras

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

最优化与控制 · 数学 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

In this paper, we propose Distributed Mirror Descent (DMD) algorithm for constrained convex optimization problems on a (strongly-)connected multi-agent network. We assume that each agent has a private objective function and a constraint…

最优化与控制 · 数学 2015-04-28 Chenguang Xi , Qiong Wu , Usman A. Khan

We study high-dimensional stochastic optimal control problems in which many agents cooperate to minimize a convex cost functional. We consider both the full-information problem, in which each agent observes the states of all other agents,…

概率论 · 数学 2023-01-10 Joe Jackson , Daniel Lacker

This paper focuses on a class of inclusion problems of maximal monotone operators in a multi-agent network, where each agent is characterized by an operator that is not available to any other agents, but the agents can cooperate by…

最优化与控制 · 数学 2023-10-25 Kai Gong , Liwei Zhang

The optimization problem of the minimum set of leaders for the controllability of undirected graphs are addressed. It is difficult to find not only its optimal solution but also its approximate algorithm. We propose a new concept, namely…

最优化与控制 · 数学 2021-12-03 Li Dai

We are interested in assigning a pre-specified number of nodes as leaders in order to minimize the mean-square deviation from consensus in stochastically forced networks. This problem arises in several applications including control of…

最优化与控制 · 数学 2014-12-11 Fu Lin , Makan Fardad , Mihailo R. Jovanović

In this paper, the distributed resource allocation optimization problem is investigated. The allocation decisions are made to minimize the sum of all the agents' local objective functions while satisfying both the global network resource…

最优化与控制 · 数学 2017-04-11 Peng Yi , Yiguang Hong , Feng Liu

We address the optimal dynamic formation problem in mobile leader-follower networks where an optimal formation is generated to maximize a given objective function while continuously preserving connectivity. We show that in a convex mission…

最优化与控制 · 数学 2015-08-20 Xinmiao Sun , Christos G. Cassandras

In this paper, we investigate the distributed convex optimization problem over a multi-agent system with Markovian switching communication networks. The objective function is the sum of each agent's local objective function, which cannot be…

最优化与控制 · 数学 2020-02-25 Peng Yi , Li Li

In this note, the problem of simultaneous leader-following consensus and parameter estimation is studied for a class of multi-agent systems subject to an uncertain leader system. The leader system is described by a sum of sinusoids with…

系统与控制 · 电气工程与系统科学 2020-07-28 Shimin Wang , Xiangyu Meng

We study the multi-agent Smoothed Online Convex Optimization (SOCO) problem, where $N$ agents interact through a communication graph. In each round, each agent $i$ receives a strongly convex hitting cost function $f^i_t$ in an online…

最优化与控制 · 数学 2025-01-31 Neelkamal Bhuyan , Debankur Mukherjee , Adam Wierman

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

最优化与控制 · 数学 2021-08-18 Yongxin Chen

We study distributed optimization in a cooperative multi-agent setting, where agents have to agree on the usage of shared resources and can communicate via a time-varying network to this purpose. Each agent has its own decision variables…

最优化与控制 · 数学 2017-04-20 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini