Thesis supervisor: Mihály Pituk
co-supervisor: Lőrinc Márton
Location of studies (in Hungarian): University of Pannonia, Faculty of Information Technology, Department of Electrical Engineering and Information Systems Abbreviation of location of studies: PE
Description of the research topic:
The theory of multi-agent systems deals with groups of such of agents that interact, or can communicate with each other. The behavior of each agent depends on its own state and the states of its neighboring agents.
The dynamic behavior of each agent can be modeled using continuous or discrete ordinary differential equations. By taking into considerations that the information exchange among the agents is generally performed over delayed communication channels, the multi-agent system can be modeled using continuous or discrete delay differential equations.
The goal of the research work is the development of new control strategies for such multi-agent systems that can be described by delay differential equations. It will be investigated, how the newly developed mathematical methods (related to stability analysis, mathematical modeling, and optimization) can be applied to formulate novel control strategies for multi-agent systems. One of the most important application areas of multi-agent systems is related to the control of groups of mobile robots. Many efficient control methods were developed for such multi-agent systems. It will be examined, how these control methods can be extended to more general classes of multi-agent systems. The stability of the controlled multi-agent systems and the control performances will be examined. Possible application areas include smart grids, nonlinear process systems, data flow control over communication networks, biological networks.
To solve the formulated research problem, Lyapunov methods, the theory of passive systems, optimal control methods, analysis methods for small delay differential equations, consensus decision making methods, decentralized optimization methods, distributed model predictive control methods can be applied.
Preliminary results can be found in the following publications:
F. L. Lewis, H. Zhang, K. Hengster-Movric, A. Das, Cooperative Control of Multi-Agent Systems, Optimal and Adaptive Design Approaches, Communications and Control Engineering, Springer, 2014.
Wei Ren and Randal W. Beard, Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications, Communications and Control Engineering, Springer, 2008.
Hal Smith, An Introduction to Delay Differential Equations with Applications to the Life Sciences, Texts in Applied Mathematics, Springer, 2011.
Required language skills: english Further requirements: Expectations of applicants: English language – upper intermediate; basic knowledge in system and control theory. It is an advantage if the applicant has participated at Scientific Students’ Conferences.
Number of students who can be accepted: 1
Deadline for application: 2017-10-30
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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