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Understanding how local perturbations induce the transient dynamics of a network of coupled units is essential to control and operate such systems. Often a perturbation initiated in one unit spreads to other units whose dynamical state they…

Physics and Society · Physics 2021-06-02 Malte Schröder , Xiaozhu Zhang , Justine Wolter , Marc Timme

Dynamic processes of interacting units on a network are out of equilibrium in general. In the case of a directed tree, the dynamic cavity method provides an efficient tool that characterises the dynamic trajectory of the process for the…

Disordered Systems and Neural Networks · Physics 2022-05-25 Giuseppe Torrisi , Reimer Kühn , Alessia Annibale

In this paper, the problem of tracking a given reference output trajectory is investigated for the class of Boolean control networks, by resorting to their algebraic representation. First, the case of a finite-length reference trajectory is…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Giorgia Disarò , Maria Elena Valcher

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

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Gewei Zuo , Lijun Zhu

The generating functional method is employed to investigate the synchronous dynamics of Boolean networks, providing an exact result for the system dynamics via a set of macroscopic order parameters. The topology of the networks studied and…

Disordered Systems and Neural Networks · Physics 2015-05-28 Alexander Mozeika , David Saad

We study synchronization for linearly coupled temporal networks of heterogeneous time-dependent nonlinear agents via the convergence of attracting trajectories of each node. The results are obtained by constructing and studying the…

Dynamical Systems · Mathematics 2024-10-23 Hildeberto Jardón-Kojakhmetov , Christian Kuehn , Iacopo P. Longo

Discrete dynamical systems in which model components take on categorical values have been successfully applied to biological networks to study their global dynamic behavior. Boolean models in particular have been used extensively. However,…

Quantitative Methods · Quantitative Biology 2021-09-09 Etan Basser-Ravitz , Arman Darbar , Julia Chifman

Boolean Networks (BNs) describe the time evolution of binary states using logic functions on the nodes of a network. They are fundamental models for complex discrete dynamical systems, with applications in various areas of science and…

Discrete Mathematics · Computer Science 2025-03-26 Van-Giang Trinh , Samuel Pastva , Jordan Rozum , Kyu Hyong Park , Réka Albert

A Boolean network is a discrete dynamical system operating on vectors of Boolean variables. The action of a Boolean network can be conveniently expressed as a system of Boolean update functions, computing the new values for each component…

Formal Languages and Automata Theory · Computer Science 2023-03-02 Artiom Alhazov , Vincent Ferrari-Dominguez , Rudolf Freund , Nicolas Glade , Sergiu Ivanov

In this paper, we propose a new self-triggered formulation of Model Predictive Control for continuous-time linear networked control systems. Our control approach, which aims at reducing the number of transmitting control samples to the…

Optimization and Control · Mathematics 2016-09-09 K. Hashimoto , S. Adachi , D. V. Dimarogonas

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

Many temporal networks exhibit multiple system states, such as weekday and weekend patterns in social contact networks. The detection of such distinct states in temporal network data has recently been explored as it helps reveal underlying…

Social and Information Networks · Computer Science 2020-08-20 Shun Cao , Hiroki Sayama

This paper studies the model of the probe-drogue aerial refueling system under aerodynamic disturbances, and proposes a docking control method based on terminal iterative learning control to compensate for the docking errors caused by…

Systems and Control · Computer Science 2018-09-05 Xunhua Dai , Quan Quan , Jinrui Ren , Zhiyu Xi , Kai-Yuan Cai

We investigate the propagation of perturbations in Boolean networks by evaluating the Derrida plot and modifications of it. We show that even small Random Boolean Networks agree well with the predictions of the annealed approximation, but…

Statistical Mechanics · Physics 2009-05-06 Christoph Fretter , Agnes Szejka , Barbara Drossel

We consider a simple control problem in which the underlying dynamics depend on a parameter that is unknown and must be learned. We exhibit a control strategy which is optimal to within a multiplicative constant. While most authors find…

Optimization and Control · Mathematics 2021-09-15 Jacob Carruth , Maximilian F. Eggl , Charles Fefferman , Clarence W. Rowley , Melanie Weber

We propose a novel method of detecting directed interactions of a general dynamic network from measured data. By repeating random state variable resetting of a target node and appropriately averaging over the measurable data, the pairwise…

Data Analysis, Statistics and Probability · Physics 2018-11-14 Rundong Shi , Changbao Deng , Shihong Wang

This article studies the synchronization problem of complex dynamical networks. The impulsive control method is considered with a novel event-triggered pinning algorithm. Sufficient conditions on the network topology are obtained to ensure…

Optimization and Control · Mathematics 2024-02-29 Kexue Zhang

Boolean networks, first developed in the late 1960s as a tool for studying complex disordered dynamical systems, consist of nodes governed by Boolean functions whose evolution is entirely deterministic in that the state of the network at a…

Quantum Physics · Physics 2023-03-02 Ian T. Durham

Coordinating multiple autonomous agents to reach a target region while avoiding collisions and maintaining communication connectivity is a core problem in multi-agent systems. In practice, agents have a limited communication range. Thus,…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Shiyu Cheng , Luyao Niu , Bhaskar Ramasubramanian , Andrew Clark , Radha Poovendran