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A common goal in the control of a large network is to minimize the number of driver nodes or control inputs. Yet, the physical determination of control signals and the properties of the resulting control trajectories remain widely…

Disordered Systems and Neural Networks · Physics 2013-05-28 Jie Sun , Adilson E. Motter

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

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

Observing and controlling complex networks are of paramount interest for understanding complex physical, biological and technological systems. Recent studies have made important advances in identifying sensor or driver nodes, through which…

In this paper we extend the work in the conference paper 'On the Controllability and Observability of Heterogeneous Networked Systems with distinct node dimensions and inner-coupling matrices' wherein the controllability and observability…

Optimization and Control · Mathematics 2024-10-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

The ability to effectively control brain dynamics holds great promise for the enhancement of cognitive function in humans, and the betterment of their quality of life. Yet, successfully controlling dynamics in neural systems is challenging,…

Quantitative Methods · Quantitative Biology 2018-08-29 Evelyn Tang , Danielle S. Bassett

In this paper we investigate the limits of control for mixed-state quantum systems. The constraint of unitary evolution for non-dissipative quantum systems imposes kinematical bounds on the optimization of arbitrary observables. We…

Quantum Physics · Physics 2009-02-05 S. G. Schirmer , J. V. Leahy

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

We consider the problem of distributing a control policy across a network of interconnected units. Distributing controllers in this way has a number of potential advantages, especially in terms of robustness, as the failure of a single unit…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Sruti Mallik , ShiNung Ching

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…

Systems and Control · Computer Science 2013-02-12 Ahmet Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

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…

Optimization and Control · Mathematics 2016-09-29 Mathias Hudoba de Badyn , Mehran Mesbahi

In this paper, we study controllability of a network of linear single-integrator agents when the network size goes to infinity. We first investigate the effect of increasing size by injecting an input at every node and requiring that…

Systems and Control · Computer Science 2016-11-17 Chinwendu Enyioha , Mohammad Amin Rahimian , George J. Pappas , Ali Jadbabaie

The problem of controlling complex networks is of interest to disciplines ranging from biology to swarm robotics. However, controllability can be too strict a condition, failing to capture a range of desirable behaviors. Herdability, which…

Systems and Control · Computer Science 2018-05-01 Sebastian F. Ruf , Magnus Egersted , Jeff S. Shamma

This paper studies the controllability backbone problem in dynamical networks defined over graphs. The main idea of the controllability backbone is to identify a small subset of edges in a given network such that any subnetwork containing…

Systems and Control · Electrical Eng. & Systems 2023-09-07 Obaid Ullah Ahmad , Waseem Abbas , Mudassir Shabbir

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

Recently it has been shown that the control energy required to control a dynamical complex network is prohibitively large when there are only a few control inputs. Most methods to reduce the control energy have focused on where, in the…

Systems and Control · Computer Science 2017-05-24 Isaac S. Klickstein , Afroza Shirin , Francesco Sorrentino

In this article, a new notion of modal strong structural controllability is introduced and examined for a family of LTI networks. These networks include structured LTI subsystems, whose system matrices have the same zero/nonzero/arbitrary…

Optimization and Control · Mathematics 2021-08-30 Shima Sadat Mousavi , Anastasios Kouvelas , Karl H. Johansson

Effective control of biological systems can often be achieved through the control of a surprisingly small number of distinct variables. We bring clarity to such results using the formalism of Boolean dynamical networks, analyzing the…

Molecular Networks · Quantitative Biology 2021-09-13 Enrico Borriello , Bryan C. Daniels

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

Optimization and Control · Mathematics 2022-08-16 Simone Göttlich , Thomas Schillinger

Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario…

Optimization and Control · Mathematics 2021-08-26 Taha Shafa , Melkior Ornik