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Topological aspects of controlling large scale networks with unilateral inputs
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0002-4049-6018
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0003-4142-6502
2017 (Engelska)Ingår i: IFAC PAPERSONLINE, ELSEVIER SCIENCE BV , 2017, Vol. 50, nr 1, s. 8315-8320Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

In this paper, we study the problem of controlling complex networks with unilateral controls, i.e., controls which can assume only positive or negative values, not both. Given a network with linear dynamics represented by the adjacency matrix A, we seek to understand the minimal number of unilateral controls that renders the network controllable. This problem has structural properties that for instance allows us to establish theoretical bounds and identify key topological properties that makes a network relatively easy to control with unilateral controls as compared to unrestricted controls. We find that the structure of the left null space of A is particularly important to this end. In a computational study we find that the network topology largely determines the number of unilateral controls and that the derived lower bounds often are achieved with heuristic methods. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

Ort, förlag, år, upplaga, sidor
ELSEVIER SCIENCE BV , 2017. Vol. 50, nr 1, s. 8315-8320
Serie
IFAC PAPERSONLINE, E-ISSN 2405-8963
Nyckelord [en]
Complex networks; Network topology; Controllability; Unilateral inputs
Nationell ämneskategori
Reglerteknik
Identifikatorer
URN: urn:nbn:se:liu:diva-145849DOI: 10.1016/j.ifacol.2017.08.1549ISI: 000423964900376OAI: oai:DiVA.org:liu-145849DiVA, id: diva2:1192137
Konferens
20th World Congress of the International-Federation-of-Automatic-Control (IFAC)
Anmärkning

Funding Agencies|Swedish Research Council [2015-04390]

Tillgänglig från: 2018-03-21 Skapad: 2018-03-21 Senast uppdaterad: 2019-07-05

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