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We consider the problem of robustness in large consensus networks that occur in many areas such as distributed optimization. Robustness, in this context, is the scaling of performance measures, e.g. H2-norm, as a function of network…

Systems and Control · Computer Science 2018-02-27 Tuhin Sarkar , Mardavij Roozbehani , Munther A. Dahleh

Multi-agent consensus problems can often be seen as a sequence of autonomous and independent local choices between a finite set of decision options, with each local choice undertaken simultaneously, and with a shared goal of achieving a…

Artificial Intelligence · Computer Science 2021-05-12 David Kohan Marzagão , Luciana Basualdo Bonatto , Tiago Madeira , Marcelo Matheus Gauy , Peter McBurney

The paper investigates consensus problem for continuous-time multi-agent systems with time-varying communication graphs subject to process noises. Borrowing the ideas from input-to-state stability (ISS) and integral input-to-state stability…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

This paper utilizes the agent's memory in accelerated consensus for second-order multi-agent systems (MASs). In the case of one-tap memory, explicit formulas for the optimal consensus convergence rate and control parameters are derived by…

Optimization and Control · Mathematics 2023-03-27 Jiahao Dai , Jing-Wen Yi , Li Chai

We consider how to connect a set of disjoint networks to optimize the performance of the resulting composite network. We quantify this performance by the coherence of the composite network, which is defined by an $H_2$ norm of the system.…

Optimization and Control · Mathematics 2017-04-11 Erika Mackin , Stacy Patterson

In this paper, we study the robust consensus problem for a set of discrete-time linear agents to coordinate over an uncertain communication network, which is to achieve consensus against the transmission errors and noises resulted from the…

Systems and Control · Computer Science 2017-03-30 Zhongkui Li , Jie Chen

The consensus over multi-agent networks can be accelerated by introducing agent's memory to the control protocol. In this paper, a more general protocol with the node memory and the state deviation memory is designed. We aim to provide the…

Systems and Control · Electrical Eng. & Systems 2021-12-15 Jiahao Dai , Jing-Wen Yi , Li Chai

This paper considers the distributed robust suboptimal consensus control problem of linear multi-agent systems, with both H2 and H_infty performance requirements. A novel two-step complementary design approach is proposed. In the first…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Zhongkui Li , Junjie Jiao , Xiang Chen

This paper addresses the problem of resilient consensus in the presence of misbehaving nodes. Although it is typical to assume knowledge of at least some nonlocal information when studying secure and fault-tolerant consensus algorithms,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-21 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos

In this paper, we study the relationship between resilience and accuracy in the resilient distributed multi-dimensional consensus problem. We consider a network of agents, each of which has a state in $\mathbb{R}^d$. Some agents in the…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Waseem Abbas , Mudassir Shabbir , Jiani Li , Xenofon Koutsoukos

We investigate robust linear consensus over networks under capacity-constrained communication. The capacity of each edge is encoded as an upper bound on the number of state variables that can be communicated instantaneously. When the edge…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Yasin Yazicioglu , Alberto Speranzon

Recently, a scalable approach to system analysis and controller synthesis for homogeneous multi-agent systems with Bernoulli distributed packet loss has been proposed. As a key result of that line of work, it was shown how to obtain upper…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Christian Hespe , Herbert Werner

We study the performance of leader-follower noisy consensus networks, and in particular, the relationship between this performance and the locations of the leader nodes. Two types of dynamics are considered (1) noise-free leaders, in which…

Optimization and Control · Mathematics 2017-08-24 Stacy Patterson , Yuhao Yi , Zhongzhi Zhang

Previous researches have shown that adding local memory can accelerate the consensus. It is natural to ask questions like what is the fastest rate achievable by the $M$-tap memory acceleration, and what are the corresponding control…

Optimization and Control · Mathematics 2021-12-13 Jing-Wen Yi , Li Chai , Jingxin Zhang

The purpose of this study is to investigate how homophily, memory constraints, and adversarial disruptions collectively shape the resilience and adaptability of complex networks. To achieve this, we develop a new framework that integrates…

Social and Information Networks · Computer Science 2025-12-16 Saad Alqithami

Population protocols are a fundamental model in distributed computing, where many nodes with bounded memory and computational power have random pairwise interactions over time. This model has been studied in a rich body of literature aiming…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Simina Branzei , Yuval Peres

We present a graph-theoretic approach to analyzing the robustness of leader-follower consensus dynamics to disturbances and time delays. Robustness to disturbances is captured via the system $\mathcal{H}_2$ and $\mathcal{H}_{\infty}$ norms…

Optimization and Control · Mathematics 2016-05-02 Mohammad Pirani , Ebrahim Moradi Shahrivar , Baris Fidan , Shreyas Sundaram

This paper studies a consensus problem of multi-agent systems subjected to external disturbances over the clustered network. It considers that the agents are divided into several clusters. They are almost all the time isolated one from…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Thiem V. Pham , Quynh T. T. Nguyen

We investigate notions of network centrality in terms of the underlying coupling graph of the network, structure of exogenous uncertainties, and communication time-delay. Our focus is on time-delay linear consensus networks, where…

Systems and Control · Computer Science 2019-02-25 Yaser Ghaedsharaf , Milad Siami , Christoforos Somarakis , Nader Motee

Robustness estimation is critical for the design and maintenance of resilient networks, one of the global challenges of the 21st century. Existing studies exploit network metrics to generate attack strategies, which simulate intentional…

Social and Information Networks · Computer Science 2016-08-16 Sebastian Wandelt , Xiaoqian Sun
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