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Investigating mixed-sign equilibria for nonlinear collective decision-making systems
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0002-6367-6302
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0003-4142-6502
2017 (engelsk)Inngår i: Proceedings from the 2017 IEEE 56th Annual Conference on Decision and Control (CDC), December 12-15, 2017, Melbourne, Australia, 2017, s. 781-786Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

In this paper we provide necessary conditions for the existence of multiple equilibrium points for a class of non-linear cooperative networked systems with saturating interactions which describe models of collective decision-making. The multiple steady states of the dynamics represent the possible outcomes of a decision process, and, except for one positive and one negative, have all mixed signs. The conditions we obtain can be formulated in terms of the algebraic connectivity of the network and are inspired by Perron-Frobenius arguments. It is also shown that the mixed-sign equilibria are contained in a ball of radius given by the norm of the positive equilibrium point and centered in the origin. Numerical examples are given to illustrate the results.

sted, utgiver, år, opplag, sider
2017. s. 781-786
Emneord [en]
Symmetric matrices, Eigenvalues and eigenfunctions, Bifurcation, Neural networks, Decision making, Steady-state, Cooperative systems
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-145192DOI: 10.1109/CDC.2017.8263755ISBN: 9781509028733 (digital)ISBN: 9781509028726 (digital)ISBN: 9781509028740 (tryckt)OAI: oai:DiVA.org:liu-145192DiVA, id: diva2:1192590
Konferanse
2017 IEEE 56th Annual Conference on Decision and Control (CDC) December 12-15, 2017, Melbourne, Australia
Tilgjengelig fra: 2018-03-22 Laget: 2018-03-22 Sist oppdatert: 2019-05-09bibliografisk kontrollert

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Investigating mixed-sign equilibria for nonlinear collective decision-making systems(372 kB)36 nedlastinger
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