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Random Boolean networks (RBNs) have been a popular model of genetic regulatory networks for more than four decades. However, most RBN studies have been made with random topologies, while real regulatory networks have been found to be…

Cellular Automata and Lattice Gases · Physics 2015-03-17 Rodrigo Poblanno-Balp , Carlos Gershenson

It has been shown that self-triggered control has the ability to reduce computational loads and deal with the cases with constrained resources by properly setting up the rules for updating the system control when necessary. In this paper,…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Min Meng , Gaoxi Xiao , Daizhan Cheng

Controllability properties are studied for control-affine systems depending on a parameter and with constrained control values. The uncontrolled systems in dimension two and three are subject to a homoclinic bifurcation. This generates two…

Optimization and Control · Mathematics 2022-12-13 Fritz Colonius , Amani Hasan , Gholam Reza Rokni Lamouki

The controllability of networks comprising homogeneous multi-input multi-output linear subsystems with linear couplings among them is examined, from a modal perspective. The eigenvalues of the network model are classified into two groups:…

Systems and Control · Computer Science 2018-05-08 Mengran Xue , Sandip Roy

This paper deals with structural controllability of leader-follower networks. The system matrix defining the network dynamics is a pattern matrix in which a priori given entries are equal to zero, while the remaining entries take nonzero…

Optimization and Control · Mathematics 2018-10-16 Jiajia Jia , Harry L. Trentelman , Wouter Baar , Kanat M. Camlibel

This paper proposes a Recurrent Neural Network (RNN) controller for lane-keeping systems, effectively handling model uncertainties and disturbances. First, quadratic constraints cover the nonlinearities brought by the RNN controller, and…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Ying Shuai Quan , Jin Sung Kim , Chung Choo Chung

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

A probabilistic Boolean network (PBN) is a discrete-time system composed of a collection of Boolean networks between which the PBN switches in a stochastic manner. This paper focuses on the study of quotients of PBNs. Given a PBN and an…

Optimization and Control · Mathematics 2021-08-02 Rui Li , Qi Zhang , Tianguang Chu

To better understand the correlation between network topological features and the robustness of network controllability in a general setting, this paper suggests a practical approach to searching for optimal network topologies with given…

Systems and Control · Electrical Eng. & Systems 2020-09-02 Yang Lou , Lin Wang , Kim Fung Tsang , Guanrong Chen

This paper is concerned with the notions of admissibility, exact controllability, exact observability and regularity of linear systems in the Banach space setting. It is proved that admissible controllability, exact controllability,…

Functional Analysis · Mathematics 2016-06-23 Zhan-Dong Mei , Ji-Gen Peng

Biological processes, including cell differentiation, organism development, and disease progression, can be interpreted as attractors (fixed points or limit cycles) of an underlying networked dynamical system. In this paper, we study the…

Systems and Control · Computer Science 2017-01-20 Andrew Clark , Phillip Lee , Basel Alomair , Linda Bushnell , Radha Poovendran

Monitorability delineates what properties can be verified at runtime. Although many monitorability definitions exist, few are defined explicitly in terms of the guarantees provided by monitors, i.e., the computational entities carrying out…

Logic in Computer Science · Computer Science 2019-06-04 Luca Aceto , Antonis Achilleos , Adrian Francalanza , Anna Ingólfsdóttir , Karoliina Lehtinen

The question of controllability of natural and man-made network systems has recently received considerable attention. In the context of the human brain, the study of controllability may not only shed light into the organization and function…

Optimization and Control · Mathematics 2021-02-10 Tommaso Menara , Shi Gu , Danielle S. Bassett , Fabio Pasqualetti

The computable cross norm (CCN) criterion is a new powerful analytical and computable separability criterion for bipartite quantum states, that is also known to systematically detect bound entanglement. In certain aspects this criterion…

Quantum Physics · Physics 2009-11-07 Oliver Rudolph

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

Physics and Society · Physics 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

In a recent paper, it has been suggested that the controllability of a diffusively coupled complex network, subject to localized feedback loops at some of its vertices, can be assessed by means of a Master Stability Function approach, where…

Disordered Systems and Neural Networks · Physics 2007-08-09 Francesco Sorrentino

A new concept of weighted pair graphs (WPGs) is proposed to represent a new reconstructibility definition for Boolean control networks (BCNs), which is a generalization of the reconstructibility definition given in [Fornasini & Valcher,…

Optimization and Control · Mathematics 2016-10-12 Kuize Zhang , Lijun Zhang , Rong Su

The article addresses the problem of strong structural controllability of structured networks with multi-input multi-output (MIMO) node systems. The authors first present necessary and sufficient conditions for strong structural…

Systems and Control · Electrical Eng. & Systems 2023-05-19 Yanting Ni , Xuyang Lou , Junjie Jiao , Jiajia Jia

Estimating the influence that individual nodes have on one another in a Boolean network is essential to predict and control the system's dynamical behavior, for example, detecting key therapeutic targets to control pathways in models of…

Physics and Society · Physics 2023-11-02 Thomas Parmer , Filippo Radicchi

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
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