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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…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

In this paper, we study the minimal cost constrained input-output (I/O) and control configuration co-design problem. Given a linear time-invariant plant, where a collection of possible inputs and outputs is known a priori, we aim to…

Optimization and Control · Mathematics 2015-03-17 Sergio Pequito , Soummya Kar , George J. Pappas

This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of…

Optimization and Control · Mathematics 2016-06-13 Sergio Pequito , George J. Pappas

Minimal controllability problem plays an important role in the field of network control. A New concept-Minimum Perfect Critical Set (MPCS)is proposed. Four different MPCSs were found for k-distant tree graphs. Based on this concept of MPCS,…

Optimization and Control · Mathematics 2022-02-10 Li Dai

This paper studies the minimum control node set problem for Boolean networks (BNs) with degree constraints. The main contribution is to derive the nontrivial lower and upper bounds on the size of the minimum control node set through…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Liangjie Sun , Wai-Ki Ching , Tatsuya Akutsu

Social science studies dealing with control in networks typically resort to heuristics or describing the static control distribution. Optimal policies, however, require interventions that optimize control over a socioeconomic network…

Social and Information Networks · Computer Science 2021-08-24 Jannes Nys , Milan van den Heuvel , Koen Schoors , Bruno Merlevede

In this work, we consider the controllability of a discrete-time linear dynamical system with sparse control inputs. Sparsity constraints on the input arises naturally in networked systems, where activating each input variable adds to the…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Geethu Joseph , Chandra R. Murthy

This article determines and characterizes the minimal number of actuators needed to ensure structural controllability of a linear system under structural alterations that can severe the connection between any two states. We assume that…

Systems and Control · Computer Science 2017-03-23 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

The energy needed in controlling a complex network is a problem of practical importance. Recent works have focused on the reduction of control energy either via strategic placement of driver nodes, or by decreasing the cardinality of nodes…

Physics and Society · Physics 2021-01-13 Hong Chen , Ee Hou Yong

Many real-world systems are composed of many individual components that interact with one another in a complex pattern to produce diverse behaviors. Understanding how to intervene in these systems to guide behaviors is critically important…

Physics and Society · Physics 2018-04-04 Elena Wu-Yan , Richard F. Betzel , Evelyn Tang , Shi Gu , Fabio Pasqualetti , Danielle S. Bassett

We address the problem of minimal actuator placement in linear systems so that the volume of the set of states reachable with one unit or less of input energy is lower bounded by a desired value. First, following the recent work of…

Optimization and Control · Mathematics 2016-12-30 V. Tzoumas , M. A. Rahimian , G. J. Pappas , A. Jadbabaie

Given a state transition matrix (STM), we reinvestigate the problem of constructing the sparest input matrix with a fixed number of inputs to guarantee controllability. We give a new and simple graph theoretic characterization for the…

Optimization and Control · Mathematics 2018-09-17 Yuan Zhang , Tong Zhou

We propose a new measure to quantify the impact of a node $i$ in controlling a directed network. This measure, called `control contribution' $\mathcal{C}_{i}$, combines the probability for node $i$ to appear in a set of driver nodes and the…

Social and Information Networks · Computer Science 2019-06-12 Yan Zhang , Antonios Garas , Frank Schweitzer

Large-scale networked systems typically operate under resource constraints, and it is also difficult to exactly obtain the network structure between nodes. To address these issues, this paper investigates a sparse optimal control for…

Optimization and Control · Mathematics 2025-07-25 Takuya Ikeda , Masaaki Nagahara

The paradigm of layered networks is used to describe many real-world systems -- from biological networks, to social organizations and transportation systems. Recently there has been much progress in understanding the general properties of…

Physics and Society · Physics 2016-10-05 Márton Pósfai , Jianxi Gao , Sean P. Cornelius , Albert-László Barabási , Raissa M. D'Souza

This paper presents new results and reinterpretation of existing conditions for strong structural controllability in a structured network determined by the zero/non-zero patterns of edges. For diffusively-coupled networks with self-loops,…

General Topology · Mathematics 2025-09-08 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

Systems and Control · Computer Science 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

In this paper we consider the problem of controlling a limited number of target nodes of a network. Equivalently, we can see this problem as controlling the target variables of a structured system, where the state variables of the system…

Systems and Control · Computer Science 2019-08-29 Christian Commault , Jacob van der Woude , Paolo Frasca

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

Optimization and Control · Mathematics 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

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
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