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In this work, we formulate two controllability maximization problems for large-scale networked dynamical systems such as brain networks: The first problem is a sparsity constraint optimization problem with a box constraint. The second…

最优化与控制 · 数学 2020-02-12 Kazuhiro Sato , Akiko Takeda

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

神经元与认知 · 定量生物学 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

物理与社会 · 物理学 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

It has recently been shown that the minimum energy solution of the control problem for a linear system produces a control trajectory that is nonlocal. An issue then arises when the dynamics represents a linearization of the underlying…

最优化与控制 · 数学 2018-01-03 Isaac Klickstein , Afroza Shirin , Francesco Sorrentino

Networked control systems are closed-loop feedback control systems containing system components that may be distributed geographically in different locations and interconnected via a communication network such as the Internet. The quality…

机器人学 · 计算机科学 2023-07-19 Mahsa Noroozi , Kai Wang

The study of dynamical systems on networks, describing complex interactive processes, provides insight into how network structure affects global behaviour. Yet many methods for network dynamics fail to cope with large or partially-known…

物理与社会 · 物理学 2018-09-05 Neave O'Clery , Ye Yuan , Guy-Bart Stan , Mauricio Barahona

What can we learn about controlling a system solely from its underlying network structure? Here we adapt a recently developed framework for control of networks governed by a broad class of nonlinear dynamics that includes the major dynamic…

无序系统与神经网络 · 物理学 2017-07-07 Jorge G. T. Zañudo , Gang Yang , Réka Albert

Despite their topological complexity almost all functional properties of metabolic networks can be derived from steady-state dynamics. Indeed, many theoretical investigations (like flux-balance analysis) rely on extracting function from…

分子网络 · 定量生物学 2009-11-13 Carsten Marr , Mark Mueller-Linow , Marc-Thorsten Huett

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…

最优化与控制 · 数学 2023-01-09 Abhijith Ajayakumar , Raju K george

Boolean networks have been successfully used in modelling gene regulatory networks. In this paper we propose a reduction method that reduces the complexity of a Boolean network but keeps dynamical properties and topological features and…

定量方法 · 定量生物学 2009-07-06 Alan Veliz-Cuba

A general scheme is proposed and tested to control the symmetry breaking instability of a homogeneous solution of a spatially extended multispecies model, defined on a network. The inherent discreteness of the space makes it possible to act…

In this paper we study the controllability of networked systems with static network topologies using tools from algebraic graph theory. Each agent in the network acts in a decentralized fashion by updating its state in accordance with a…

系统与控制 · 计算机科学 2013-02-12 Ahmet Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

In several network problems the optimum behavior of the agents (i.e., the nodes of the network) is not known before deployment. Furthermore, the agents might be required to adapt, i.e. change their behavior based on the environment…

神经与进化计算 · 计算机科学 2020-12-22 Anil Yaman , Giovanni Iacca

We present a method to control transport in Hamiltonian systems. We provide an algorithm - based on a perturbation of the original Hamiltonian localized in phase space - to design small control terms that are able to create isolated…

混沌动力学 · 物理学 2007-05-23 Guido Ciraolo , Cristel Chandre , Ricardo Lima , Michel Vittot , Marco Pettini , Philippe Ghendrih

Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instantaneous control approach to steer an interacting particle…

最优化与控制 · 数学 2020-01-29 Martin Burger , Rene Pinnau , Claudia Totzeck , Oliver Tse , Andreas Roth

Robust quantum control is crucial for realizing practical quantum technologies. Energy landscape shaping offers an alternative to conventional dynamic control, providing theoretically enhanced robustness and simplifying implementation for…

量子物理 · 物理学 2025-01-23 C. A. Weidner , S. P. O'Neil , E. A. Jonckheere , F. C. Langbein , S. G. Schirmer

In this paper, we develop a retrofit control method with approximate environment modeling. Retrofit control is a modular control approach for a general stable network system whose subsystems are supposed to be managed by their corresponding…

系统与控制 · 计算机科学 2019-07-29 Takayuki Ishizaki , Takahiro Kawaguchi , Hampei Sasahara , Jun-ichi Imura

Our ability to manipulate the behavior of complex networks depends on the design of efficient control algorithms and, critically, on the availability of an accurate and tractable model of the network dynamics. While the design of control…

系统与控制 · 电气工程与系统科学 2021-04-28 Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

The topology of a network directly influences the behaviour and controllability of dynamical processes on that network. Therefore, the design of network topologies is an important area of research when examining the control of distributed…

最优化与控制 · 数学 2016-09-29 Mathias Hudoba de Badyn , Mehran Mesbahi

A major application of the mathematical concept of graph in quantum mechanics is to model networks of electrical wires or electromagnetic wave-guides. In this paper, we address the dynamics of a particle trapped on such a network in…

最优化与控制 · 数学 2023-04-19 Alessandro Duca