Upravljanje multi-agentnim sustavima

master's thesis

• Title (english): Management of multi-agent systems
• Author: Filip Čačković
• Mentor: Ivica Nakić (mentor)
• Committee member: Ivica Nakić (predsjednik povjerenstva)
• Committee member: Željka Milin Šipuš (član povjerenstva)
• Committee member: Boris Širola (član povjerenstva)
• Committee member: Vjekoslav Kovač (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2023-07-14, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Jedan od ciljeva ovog rada bio je razviti numerički efikasan pristup ispitivanja osjetljivosti multiagentnog sustava na poremećaje izazvane na svakom vrhu zasebno. U ovom radu, kao mjeru osjetljivosti multiagentnog sustava uzeli smo \(H_\infty\) normu preslikavanja \(\omega \mapsto \chi\), gdje je sa \(\omega\) označen inducirani poremećaj pojedinih vrhova, a sa \(\chi\) stanje multiagentnog sustava. Uz to, cilj je bio traženje usmjerenih grafova za koje se \(H_\infty\) norma ne dostiže u nuli te izdvojiti i dodatno proučiti takve grafove. U radu su predstavljena tri različita usmjerena grafa s tim svojstvom.

Abstract (english)

This thesis has had two aims. One goal was to efficiently calculate the sensitivity of a multiagent system when its nodes are disturbed. As a sensitivity measure of a multiagent system we took the \(H_\infty\) norm of the mapping \(\omega \mapsto \chi\), where \(\omega\) stands for an induced disturbation of some nodes, and \(\chi\) is state of the multiagent system. The second purpose of this thesis was to search for directed graphs for which the \(H_\infty\) norm is not attained at zero and additionaly study those graphs. Three different directed graphs with that property are presented in this thesis.

• Keywords: multiagentni sustav na poremećaje; norma preslikavanja; usmjereni grafovi
• Keywords (english): sensitivity of a multiagent system; norm of the mapping; directed graphs
• Language: croatian
• URN:NBN: urn:nbn:hr:217:991366
• Study programme: Title: Applied Mathematics; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar matematike (sveučilišni magistar matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-02-08 13:21:00