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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

Self-optimizing control is a strategy for selecting controlled variables, where the economic objective guides the selection and design of controlled variables, with the expectation that maintaining the controlled variables at constant…

Optimization and Control · Mathematics 2026-05-08 Chenchen Zhou , Shaoqi Wang , Hongxin Su , Xinhui Tang , Yi Cao , Shuang-Hua Yang

This paper studies a basic model of a dynamical distribution network, where the network topology is given by a directed graph with storage variables corresponding to the vertices and flow inputs corresponding to the edges. We aim at…

Optimization and Control · Mathematics 2014-11-13 Jieqiang Wei , Arjan J. van der Schaft

In this technical note, we study the controllability of diffusively coupled networks from a graph theoretic perspective. We consider leader-follower networks, where the external control inputs are injected to only some of the agents, namely…

Systems and Control · Computer Science 2016-08-17 A. Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

The controllability and observability of Boolean control network(BCN) are two fundamental properties. But the verification of latter is much harder than the former. This paper considers the observability of BCN via controllability. First,…

Optimization and Control · Mathematics 2018-01-03 Daizhan Cheng , Changxi Li , Fenghua He

Network controllability measures how well a networked system can be controlled to a target state, and its robustness reflects how well the system can maintain the controllability against malicious attacks by means of node-removals or…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yang Lou , Yaodong He , Lin Wang , Guanrong Chen

Given a population of interconnected input-output agents repeatedly exposed to independent random inputs, we talk of correlated variability when agents' outputs are variable (i.e., they change randomly at each input repetition) but…

Quantitative Methods · Quantitative Biology 2021-10-15 Marcela Ordorica Arango , Alessio Franci

In this paper, several necessary and sufficient graphical conditions are derived for the controllability of multi-agent systems by taking advantage of the proposed concept of controllability destructive nodes. A key step of arriving at this…

Systems and Control · Computer Science 2015-06-19 Zhijian Ji , Tongwen Chen , Haisheng Yu

Complex systems and relational data are often abstracted as dynamical processes on networks. To understand, predict and control their behavior, a crucial step is to extract reduced descriptions of such networks. Inspired by notions from…

Social and Information Networks · Computer Science 2019-06-26 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

Controlling a complex network is of great importance in many applications. The network can be controlled by inputting external control signals through some selected nodes, which are called input nodes. Previous works found that the majority…

Social and Information Networks · Computer Science 2019-10-23 Xizhe Zhang , Qian Li

A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of measuring all the variables spanning the state space. Therefore,…

Chaotic Dynamics · Physics 2019-07-25 Irene Sendiña-Nadal , Christophe Letellier

We consider a general class of stochastic networks and ask which network nodes need to be controlled, and how, to stabilize and switch between desired metastable (target) states in terms of the first and second statistical moments of the…

Adaptation and Self-Organizing Systems · Physics 2016-07-20 Dmytro Bielievtsov , Josef Ladenbauer , Klaus Obermayer

Nature is rife with networks that are functionally optimized to propagate inputs in order to perform specific tasks. Whether via genetic evolution or dynamic adaptation, many networks create functionality by locally tuning interactions…

Soft Condensed Matter · Physics 2019-02-14 Jason W. Rocks , Henrik Ronellenfitsch , Andrea J. Liu , Sidney R. Nagel , Eleni Katifori

A complete self-control mechanism is proposed in the dynamics of neural networks through the introduction of a time-dependent threshold, determined in function of both the noise and the pattern activity in the network. Especially for…

Statistical Mechanics · Physics 2009-10-31 D. R. C. Dominguez , D. Bolle

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as…

Optimization and Control · Mathematics 2019-10-15 Tong Zhou

Given a linear system $\dot{x} = Ax$, where $A$ is an $n \times n$ matrix with $m$ nonzero entries, we consider the problem of finding the smallest set of state variables to affect with an input so that the resulting system is structurally…

Optimization and Control · Mathematics 2014-09-30 Alex Olshevsky

This paper discusses the important role of controllability played on the complexity of optimizing quantum mechanical control systems. The study is based on a topology analysis of the corresponding quantum control landscape, which is…

Quantum Physics · Physics 2013-04-01 Re-Bing Wu , Michael A. Hsieh , Herschel Rabitz

This paper considers the controllability problem for multi-agent systems. In particular, the structural controllability of multi-agent systems under switching topologies is investigated. The structural controllability of multi-agent systems…

Multiagent Systems · Computer Science 2012-03-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

Composite systems are large complex systems con- sisting of interconnected agents (subsystems). Agents in a com- posite system interact with each other towards performing an in- tended goal. Controllability is essential to achieve desired…

Optimization and Control · Mathematics 2018-10-18 Shana Moothedath , Prasanna Chaporkar , Aishwary Joshi