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Boolean networks are discrete dynamical systems in which the state (zero or one) of each node is updated at each time t to a state determined by the states at time t-1 of those nodes that have links to it. When these systems are used to…

Molecular Networks · Quantitative Biology 2012-02-28 Andrew Pomerance , Michelle Girvan , Ed Ott

In this paper, the strong structural controllability of the network is analyzed. Based on the unified definition of equitable partition for kinds of scene, the upper bound of the strong structural controllable subspace in different…

Optimization and Control · Mathematics 2022-04-27 Lanhao Zhao

In control theory, researchers need to understand a system's local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space…

Optimization and Control · Mathematics 2025-03-26 Thiago Matheus Cavalheiro , Alexandre José Santana , Victor Ayala

In this paper, we investigate the problem of controlling probabilistic Boolean control networks (PBCNs) to achieve reachability with maximum probability in the finite time horizon. We address three questions: 1) finding control policies…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Hongyue Fan , Jingjie Ni , Fangfei Li

An observability problem for linear autonomous distributed systems in the class of linear operations is considered. A criterion of observability with respect to terminal state has been proved. A connection with observability with respect to…

solv-int · Physics 2008-02-03 B. Shklyar

We consider the controllability of large-scale linear networked dynamical systems when complete knowledge of network structure is unavailable and knowledge is limited to coarse summaries. We provide conditions under which average…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Nafiseh Ghoroghchian , Rajasekhar Anguluri , Gautam Dasarathy , Stark C. Draper

Boolean Networks have been used to study numerous phenomena, including gene regulation, neural networks, social interactions, and biological evolution. Here, we propose a general method for determining the critical behavior of Boolean…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andre A. Moreira , Luis A. N. Amaral

Boolean networks (BNs) are important models for gene regulatory networks and many other biological systems. In this paper, we study the minimal controllability problem of threshold and XOR BNs with degree constraints. Firstly, we derive…

Systems and Control · Electrical Eng. & Systems 2025-09-22 Christopher H. Fok , Liangjie Sun , Tatsuya Akutsu , Wai-Ki Ching

We address the problem of retrieving the full state of a network of R\"ossler systems from the knowledge of the actual state of a limited set of nodes. The selection of the nodes where sensors are placed is carried out in a hierarchical way…

Chaotic Dynamics · Physics 2022-03-16 Irene Sendiña-Nadal , Christophe Letellier

A state feedback control strategy is proposed for input-output (IO) decoupling of a class of fully output controllable Boolean control networks (BCNs). Some necessary and sufficient conditions for BCN IO-decoupling are presented. As an…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Yiliang Li , Hongli Lyu , Jun-e Feng , Abdelhamid Tayebi

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

Systems and Control · Computer Science 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

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

This letter deals with the controllability issue of complex networks. An index is chosen to quantitatively measure the extent of controllability of given network. The effect of this index is analyzed based on empirical studies on various…

Systems and Control · Computer Science 2017-03-08 Ning Cai

This paper presents conditions for establishing topological controllability in undirected networks of diffusively coupled agents. Specifically, controllability is considered based on the signs of the edges (negative, positive or zero). Our…

Systems and Control · Computer Science 2019-03-28 Hyo-Sung Ahn , Kevin L. Moore , Seong-Ho Kwon , Quoc Van Tran , Byeong-Yeon Kim , Kwang-Kyo Oh

The study of network structure has uncovered signatures of the organization of complex systems. However, there is also a need to understand how to control them; for example, identifying strategies to revert a diseased cell to a healthy…

Molecular Networks · Quantitative Biology 2016-04-19 Alexander J. Gates , Luis M. Rocha

Liu et al recently proposed a minimum number of driver nodes needed to obtain full structural controllability over a directed network. Driver nodes are unmatched nodes, from which there are directed paths to all matched nodes. Their most…

Physics and Society · Physics 2012-09-18 Soumya Jyoti Banerjee , Soumen Roy

In this paper, we introduce the concept of observability of targeted state variables for systems that may not be fully observable. For their estimation, we introduce and exemplify a deep filter, which is a neural network specifically…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Wei Kang , Liang Xu , Hong Zhou

We consider a network of identical, first-order linear systems, and investigate how replacing a subset of the systems composing the network with higher-order ones, either taken to be generic or specifically designed, may affect its…

Optimization and Control · Mathematics 2025-04-25 Marco Peruzzo , Giacomo Baggio , Francesco Ticozzi

In spite of the recent interest and advances in linear controllability of complex networks, controlling nonlinear network dynamics remains to be an outstanding problem. We develop an experimentally feasible control framework for nonlinear…

Molecular Networks · Quantitative Biology 2015-09-24 Le-Zhi Wang , Ri-Qi Su , Zi-Gang Huang , Xiao Wang , Wenxu Wang , Celso Grebogi , Ying-Cheng Lai

Distinguishability takes a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the distinguishability of…

Optimization and Control · Mathematics 2011-02-21 Hongwei Lou