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In this paper, we study pinning control problem of coupled dynamical systems with stochastically switching couplings and stochastically selected controller-node set. Here, the coupling matrices and the controller-node sets change with time,…

Systems and Control · Computer Science 2014-04-29 Yujuan Han , Wenlian Lu , Zhe Li , Tianping Chen

Many biological systems, such as metabolic pathways, exhibit bistability behavior: these biological systems exhibit two distinct stable states with switching between the two stable states controlled by certain conditions. Since…

Quantitative Methods · Quantitative Biology 2013-07-04 Yi Ming Zou

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

Given a conjunctive Boolean network (CBN) with $n$ state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is…

Data Structures and Algorithms · Computer Science 2020-06-09 Eyal Weiss , Michael Margaliot , Guy Even

This paper investigates the stabilization of probabilistic Boolean networks (PBNs) via a novel pinning control strategy based on network structure. In a PBN, the evolution equation of each gene switches among a collection of candidate…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Lin Lin , Jinde Cao , Jianquan Lu , Jie Zhong

This paper studies data-driven control of unknown sampled-data systems with communication delays under an event-triggering transmission mechanism. Data-based representations for time-invariant linear systems with known or unknown system…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Xin Wang , Jian Sun , Julian Berberich , Gang Wang , Frank Allgöwer , Jie Chen

Pinning control on complex dynamical networks has emerged as a very important topic in recent trends of control theory due to the extensive study of collective coupled behaviors and their role in physics, engineering and biology. In…

Optimization and Control · Mathematics 2016-01-25 Stephane Chretien , Sebastien Darses

In this paper, we focus on the study of quotients of Boolean control networks (BCNs) with the motivation that they might serve as smaller models that still carry enough information about the original network. Given a BCN and an equivalence…

Optimization and Control · Mathematics 2020-07-13 Rui Li , Qi Zhang , Tianguang Chu

This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path for the system's trajectory to transition from its original…

Dynamical Systems · Mathematics 2022-08-01 Zhi Zhang , Joseph Páez Chávez , Jan Sieber , Yang Liu

We propose the use of Deterministic Generalized Asynchronous Random Boolean Networks [Gershenson, 2002] as models of contextual deterministic discrete dynamical systems. We show that changes in the context have drastic effects on the global…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson , Jan Broekaert , Diederik Aerts

Standard Random Boolean Networks display an order-disorder phase transition. We add to the standard Random Boolean Networks a disconnection rule which couples the control and order parameters. By this way, the system is driven to the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Bartolo Luque , Fernando J. Ballesteros , Enrique M. Muro

Random Boolean networks have been used widely to explore aspects of gene regulatory networks. A modified form of the model through which to systematically explore the effects of increasing the number of gene states has previously been…

Molecular Networks · Quantitative Biology 2023-02-06 Larry Bull

A Boolean control network (BCN) is a discrete-time dynamical system whose variables take values from a binary set $\{0,1\}$. At each time step, each variable of the BCN updates its value simultaneously according to a Boolean function which…

Systems and Control · Computer Science 2019-07-23 Qunxi Zhu , Zuguang Gao , Yang Liu , Weihua Gui

This paper investigates a distributed formation control problem for networked robots, with the global objective of achieving predefined time-varying formations in an environment with obstacles. A novel fixed-time behavioral approach is…

Optimization and Control · Mathematics 2020-08-19 Ning Zhou , Xiaodong Cheng , Yuanqing Xia , Yanjun Liu

Locally decreasing the impulse transmitted by periodic pulses is shown to be a reliable method of taming chaos in starlike networks of dissipative nonlinear oscillators, leading to both synchronous periodic states and equilibria…

Chaotic Dynamics · Physics 2016-06-22 Ricardo Chacón , Faustino Palmero , Jesús Cuevas-Maraver

Chaotic behavior in dynamical systems poses a significant challenge in trajectory control, traditionally relying on computationally intensive physical models. We present a machine learning-based algorithm to compute the minimum control…

Chaotic Dynamics · Physics 2025-06-18 David Valle , Rubén Capeáns , Alexandre Wagemakers , Miguel A. F. Sanjuán

In this paper, we exploit a diagonally dominant structure for the decentralized stabilization of unknown nonlinear time-delayed networks. To this end, we first introduce a novel generalization of virtual contraction analysis to diagonally…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Yu Kawano , Zhiyong Sun

In this paper, a necessary and sufficient condition for the controllability of networked systems with heterogeneous dynamics is established where the nodes are higher dimensional linear time invariant systems and the network topology is…

Optimization and Control · Mathematics 2023-01-09 Abhijith Ajayakumar , Raju K george

We study the stability of orbits in large Boolean networks with given complex topology. We impose no restrictions on the form of the update rules, which may be correlated with local topological properties of the network. While recent past…

Physics and Society · Physics 2014-09-05 Shane Squires , Andrew Pomerance , Michelle Girvan , Edward Ott

Continuous "bump" attractors are an established model of cortical working memory for continuous variables and can be implemented using various neuron and network models. Here, we develop a generalizable approach for the approximation of…

Neurons and Cognition · Quantitative Biology 2017-11-23 Alexander Seeholzer , Moritz Deger , Wulfram Gerstner
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