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In this Letter we propose a method to control a set of arbitrary nodes in a directed network such that they follow a synchronous trajectory which is, in general, not shared by the other units of the network. The problem is inspired to those…

Chaotic Dynamics · Physics 2021-01-19 Bruno Ursino , Lucia Valentina Gambuzza , Vito Latora , Mattia Frasca

In automata networks, it is well known that the way entities update their states over time has a major impact on their dynamics. In particular, depending on the chosen update schedule, the underlying dynamical systems may exhibit more or…

Discrete Mathematics · Computer Science 2022-04-25 Jacques Demongeot , Sylvain Sené

In this paper, we study the network pinning control problem in the presence of two different types of coupling: (i) node-to-node coupling among the network nodes and (ii) input-to-node coupling from the source node to the `pinned nodes'.…

Systems and Control · Electrical Eng. & Systems 2022-11-23 Shirin Panahi , Matteo Lodi , Marco Storace , Francesco Sorrentino

Intracellular networks process cellular-level information and control cell fate. They can be computationally modeled using Boolean networks, which are implicit-time causal models of discrete binary events. These networks can be embedded in…

Molecular Networks · Quantitative Biology 2025-01-28 John Metzcar , Katie Pletz , Heber L. Rocha , Jordan C Rozum

We describe adaptive control algorithms whereby a chaotic dynamical system can be steered to a target state with desired characteristics. A specific implementation considered has the objective of directing the system to a state which is…

chao-dyn · Physics 2009-10-31 Ramakrishna Ramaswamy , Sudeshna Sinha , Neelima Gupte

In this paper, we study the target controllability problem of networked dynamical systems, in which we are tasked to steer a subset of network states towards a desired objective. More specifically, we derive necessary and sufficient…

Optimization and Control · Mathematics 2018-09-25 Jingqi Li , Ximing Chen , Sérgio Pequito , George J. Pappas , Victor M. Preciado

Previous work showed that the collective activity of large neuronal networks can be tamed to remain near its critical point by a feedback control that maximizes the temporal correlations of the mean-field fluctuations. Since such…

Neurons and Cognition · Quantitative Biology 2023-03-29 Juliane T. Moraes , Eyisto J. Aguilar Trejo , Sabrina Camargo , Silvio C. Ferreira , Dante R. Chialvo

We demonstrate theoretically and experimentally that excitable systems can be built with autonomous Boolean networks. Their experimental implementation is realized with asynchronous logic gates on a reconfigurabe chip. When these excitable…

Adaptation and Self-Organizing Systems · Physics 2012-11-14 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast…

Physics and Society · Physics 2016-02-17 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

We study the stable attractors of a class of continuous dynamical systems that may be idealized as networks of Boolean elements, with the goal of determining which Boolean attractors, if any, are good approximations of the attractors of…

Molecular Networks · Quantitative Biology 2009-11-13 Johannes Norrell , Björn Samuelsson , Joshua E. S. Socolar

The problem of reliability of the dynamics in biological regulatory networks is studied in the framework of a generalized Boolean network model with continuous timing and noise. Using well-known artificial genetic networks such as the…

Molecular Networks · Quantitative Biology 2008-05-28 Stefan Braunewell , Stefan Bornholdt

We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Sorrentino , Mario di Bernardo , Franco Garofalo , Guanrong Chen

This paper addresses the problem of controlling the temporal dynamics of complex nonlinear network-coupled dynamical systems, specifically in terms of neurodynamics. Based on the Lyapunov direct method, we derive a control strategy with…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Zhongye Xia , Weibin Li , Zhichao Liang , Kexin Lou , Quanying Liu

Random boolean networks are a model of genetic regulatory networks that has proven able to describe experimental data in biology. They not only reproduce important phenomena in cell dynamics, but they are also extremely interesting from a…

Dynamical Systems · Mathematics 2015-02-26 Marco Villani , Davide Campioli , Chiara Damiani , Andrea Roli , Alessandro Filisetti , Roberto Serra

We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology…

Multiagent Systems · Computer Science 2024-09-16 Nana Wang , Esteban Restrepo , Dimos V. Dimarogonas

This paper addresses the challenge of network synchronization under limited communication, involving heterogeneous agents with different dynamics and various network topologies, to achieve consensus. We investigate the distributed adaptive…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Moh. Kamalul Wafi , Milad Siami

We propose a general strategy for feedback control design of complex dynamical systems exploiting the nonlinear mechanisms in a systematic unsupervised manner. These dynamical systems can have a state space of arbitrary dimension with…

Chaotic Dynamics · Physics 2013-11-22 Thomas Duriez , Vladimir Parezanovic , Bernd R. Noack , Laurent Cordier , Marc Segond , Markus Abel

Despite their apparent simplicity, random Boolean networks display a rich variety of dynamical behaviors. Much work has been focused on the properties and abundance of attractors. The topologies of random Boolean networks with one input per…

Disordered Systems and Neural Networks · Physics 2009-11-11 Björn Samuelsson , Carl Troein

In this paper, we propose a self-triggered formulation of Model Predictive Control for continuous-time nonlinear input-affine networked control systems. Our control method specifies not only when to execute control tasks but also provides a…

Optimization and Control · Mathematics 2016-11-17 Kazumune Hashimoto , Shuichi Adachi , Dimos. V. Dimarogonas

Real-world network systems are inherently dynamic, with network topologies undergoing continuous changes over time. Previous works often focus on static networks or rely on complete prior knowledge of evolving topologies, whereas real-world…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang