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We consider anti-phase synchronization of coupled oscillators using the Stuart-Landau model and explore its relative infrequency in occurrence compared to in-phase synchronization. We report effective limits in number of oscillators which…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 George Vathakkattil Joseph , Vikram Pakrashi

In factory automation, heterogeneous manufacturing processes need to be coordinated over wireless networks to achieve safety and efficiency. These wireless networks, however, are inherently unreliable due to shadow fading induced by the…

Optimization and Control · Mathematics 2017-08-23 Bin Hu , Yebin Wang , Philip Orlik , Toshiaki Koike-Akino , Jianlin Guo

We propose a novel formulation for phase synchronization -- the statistical problem of jointly estimating alignment angles from noisy pairwise comparisons -- as a nonconvex optimization problem that enforces consistency among the pairwise…

Information Theory · Computer Science 2019-05-15 Tingran Gao , Zhizhen Zhao

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

Adaptation and Self-Organizing Systems · Physics 2010-02-24 Georgi S. Medvedev

This paper investigates the state estimation problem for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties and nonlinearities. Based on a regularized least-squares approach,…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Peihu Duan , Qishao Wang , Zhisheng Duan , Guanrong Chen

Motivated by an increase of renewable energy sources we propose a distributed optimal Load Frequency Control scheme achieving frequency regulation and economic dispatch. Based on an energy function of the power network we derive an…

Optimization and Control · Mathematics 2017-08-03 Sebastian Trip , Claudio De Persis

Given a resistive electrical network, we would like to determine whether all the resistances (edges) in the network are working, and if not, identify which edge (or edges) are faulty. To make this determination, we are allowed to measure…

Optimization and Control · Mathematics 2026-02-17 Barbara Fiedorowicz , Amitabh Basu

Utility-based power allocation in wireless ad-hoc networks is inherently nonconvex because of the global coupling induced by the co-channel interference. To tackle this challenge, we first show that the globally optimal point lies on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Lei Yang , Yalin E. Sagduyu , Junshan Zhang , Jason H. Li

While much of network design focuses mostly on cost (number or weight of edges), node degrees have also played an important role. They have traditionally either appeared as an objective, to minimize the maximum degree (e.g., the Minimum…

Data Structures and Algorithms · Computer Science 2023-02-23 Michael Dinitz , Guy Kortsarz , Shi Li

In this paper, we design an optimal energy cost controller for linear systems asymptotic consensus given the topology of the graph. The controller depends only on relative information of the agents. Since finding the control gain for such…

Optimization and Control · Mathematics 2017-10-26 Han Zhang , Xiaoming Hu

Many phenomena in real world social networks are interpreted as spread of influence between activated and non-activated network elements. These phenomena are formulated by combinatorial graphs, where vertices represent the elements and…

Discrete Mathematics · Computer Science 2024-03-01 Siavash Askari , Manouchehr Zaker

We consider the problem of designing a feedback controller for a multivariable linear time-invariant system which regulates an arbitrary system output to the solution of an equality-constrained convex optimization problem despite unknown…

Optimization and Control · Mathematics 2020-05-12 Liam S. P. Lawrence , John W. Simpson-Porco , Enrique Mallada

This work explores the relationship between sensing accuracy and precoding coefficients for edge artificial intelligence (AI) inference in integrated sensing, communication and computation (ISCC) networks. We start by constructing a system…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Lingyun Xu , Bowen Wang , Huiyong Li , Ziyang Cheng

This paper considers the joint transceiver design in a wireless sensor network where multiple sensors observe the same physical event and transmit their contaminated observations to a fusion center, with all nodes equipped with multiple…

Information Theory · Computer Science 2015-06-22 Yang Liu , Jing Li , Xuanxuan Lu , Chau Yuen

Two characteristics that make convex decomposition algorithms attractive are simplicity of operations and generation of parallelizable structures. In principle, these schemes require that all coordinates update at the same time, i.e., they…

Optimization and Control · Mathematics 2018-03-07 Giorgos Stathopoulos , Colin N. Jones

We study non-smooth stochastic decentralized optimization problems over time-varying networks, where objective functions are distributed across nodes and network connections may intermittently appear or break. Specifically, we consider two…

Optimization and Control · Mathematics 2026-04-28 Maxim Divilkovskiy , Alexander Gasnikov

We study the dynamics of network-coupled phase oscillators in the presence of coupling frustration. It was recently demonstrated that in heterogeneous network topologies, the presence of coupling frustration causes perfect phase…

Adaptation and Self-Organizing Systems · Physics 2016-04-27 Per Sebastian Skardal , Dane Taylor , Jie Sun , Alex Arenas

Network topology is critical for efficient parameter synchronization in distributed learning over networks. However, most existing studies do not account for bandwidth limitations in network topology design. In this paper, we propose a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-09 Yipeng Shen , Zehan Zhu , Yan Huang , Changzhi Yan , Cheng Zhuo , Jinming Xu

In this paper, we study the distributed computational capabilities of device-to-device (D2D) networks. A key characteristic of D2D networks is that their topologies are reconfigurable to cope with network demands. For distributed computing,…

Networking and Internet Architecture · Computer Science 2020-11-25 Junghoon Kim , Taejoon Kim , Morteza Hashemi , Christopher G. Brinton , David J. Love

We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady-state, even in the limit of infinite coupling. An analysis reveals that the total…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Per Sebastian Skardal , Dane Taylor , Jie Sun , Alex Arenas