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Dynamical networks with time delays can pose a considerable challenge for mathematical analysis. Here, we extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When…

Disordered Systems and Neural Networks · Physics 2011-11-11 Johannes M. Höfener , Gautam C. Sethia , Thilo Gross

Most of today's distributed machine learning systems assume {\em reliable networks}: whenever two machines exchange information (e.g., gradients or models), the network should guarantee the delivery of the message. At the same time, recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-17 Chen Yu , Hanlin Tang , Cedric Renggli , Simon Kassing , Ankit Singla , Dan Alistarh , Ce Zhang , Ji Liu

We introduce and solve a general model of dynamic response under external perturbations. This model captures a wide range of systems out of equilibrium including Ising models of physical systems, social opinions, and population genetics.…

Exactly Solvable and Integrable Systems · Physics 2007-11-19 David D. Chinellato , Marcus A. M. de Aguiar , Irving R. Epstein , Dan Braha , Yaneer Bar-Yam

This paper presents a deep learning based model predictive control algorithm for control affine nonlinear discrete time systems with matched and bounded state dependent uncertainties of unknown structure. Since the structure of…

Optimization and Control · Mathematics 2021-09-28 Prabhat K. Mishra , Mateus V. Gasparino , Andres E. B. Velsasquez , Girish Chowdhary

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

In this paper, we present a method to analyze local and global stability in offset-free setpoint tracking using neural network controllers and we provide ellipsoidal inner approximations of the corresponding region of attraction. We…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Patricia Pauli , Johannes Köhler , Julian Berberich , Anne Koch , Frank Allgöwer

This paper studies the stability and dynamic control of underlay mobile edge networks. First, the stability region for a multiuser edge network is obtained under the assumption of full channel state information. This result provides a…

Information Theory · Computer Science 2018-03-29 Y. Sarikaya , H. Inaltekin , T. Alpcan , J. S. Evans

This paper presents a distributed method for robots moving in rigid formations while ensuring probabilistic collision avoidance between the robots. The formation is parametrised through the transformation of a base configuration. The robots…

Robotics · Computer Science 2024-08-28 Jeppe Heini Mikkelsen , Vit Kratky , Roberto Galeazzi , Martin Saska , Matteo Fumagalli

This paper proposes a new nonlinear stability analysis for the acceleration-based robust position control of robot manipulators by using Disturbance Observer (DOb). It is shown that if the nominal inertia matrix is properly tuned in the…

Systems and Control · Computer Science 2019-02-22 Emre Sariyildiz , Hiromu Sekiguchi , Takahiro Nozaki , Barkan Ugurlu , Kouhei Ohnishi

The problem of distributed formation control of nonholonomic mobile robots is addressed in this paper, in which the robots are designed to track a formation. Collision avoidance among agents is guaranteed using a control law based on a…

Robotics · Computer Science 2017-05-11 Thang Nguyen , Hung M. La

This work provides a design method for achieving a specified level of stability for inverter-based interconnected distributed generation. The stability of parallel connected distributed energy resources determined from a linearized…

Systems and Control · Computer Science 2016-11-17 Mahmood Saadeh , Roy McCann

We study stability patterns in the high dimensional rational homology of unordered configuration spaces of manifolds. Our results follow from a general approach to stability phenomena in the homology of Lie algebras, which may be of…

Algebraic Topology · Mathematics 2022-07-25 Ben Knudsen , Jeremy Miller , Philip Tosteson

This paper addresses the boundary stabilization of a flexible wing model, both in bending and twisting displacements, under unsteady aerodynamic loads, and in presence of a store. The wing dynamics is captured by a distributed parameter…

Optimization and Control · Mathematics 2018-08-29 Hugo Lhachemi , David Saussié , Guchuan Zhu

We study the vulnerability of dominating sets against random and targeted node removals in complex networks. While small, cost-efficient dominating sets play a significant role in controllability and observability of these networks, a fixed…

Physics and Society · Physics 2015-06-12 F. Molnar , N. Derzsy , B. K. Szymanski , G. Korniss

Diffusion-driven instability is a fundamental mechanism underlying pattern formation in spatially extended systems. In almost all existing works, diffusion across the links of the underlying network is modeled through scalar weights,…

Statistical Mechanics · Physics 2026-02-16 Anna Gallo , Wilfried Segnou , Timoteo Carletti

Mobility causes network structures to change. In PSNs where underlying network structure is changing rapidly, we are interested in studying how information dissemination can be enhanced in a sparse disconnected network where nodes lack the…

Networking and Internet Architecture · Computer Science 2012-10-22 Rachit Agarwal , Vincent Gauthier , Monique Becker

This paper presents an angle-based approach for distributed formation shape stabilization of multi-agent systems in the plane. We develop an angle rigidity theory to study whether a planar framework can be determined by angles between…

Systems and Control · Computer Science 2019-03-05 Gangshan Jing , Guofeng Zhang , Heung Wing Joseph Lee , Long Wang

In this paper, we propose a novel and distributed formation control method for autonomous robots to follow the desired formation while tracking a moving target in dynamic environments. In our approach, the desired formations, which include…

Robotics · Computer Science 2017-05-08 Anh-Duc Dang , Hung M. La , Thang Nguyen , Joachim Horn

To provide robustness of distributed model predictive control (DMPC), this work proposes a robust DMPC formulation for discrete-time linear systems subject to unknown-but-bounded disturbances. Taking advantage of the structure of certain…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Ye Wang , Chris Manzie

In order to address the nonlinear multi-agent formation tracking control problem with input constraints and unknown communication faults, a novel adaptive distributed observer-based distributed model predictive control method is developed…

Systems and Control · Electrical Eng. & Systems 2024-11-01 Binyan Xu , Yufan Dai , Afzal Suleman , Yang Shi