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Multi-Agent Systems        General   |   Schedule/Handouts/Exercises

 

Multi-Agent Systems: Course schedule, exercises, and handouts

Textbook: Graph Theoretic Methods in Multiagent Networks
Date Content of lecture Exercises Handouts
12.04.2012 Introduction to MAS;
Graph Theory
Slides on Graph Theory
16.04.2012 Algebraic Graph Theory;
Linear Consensus
 
19.04.2012 Linear Consensus (cont.);
directed graphs, switching graphs
 
23.04.2012 Exercises Homework 1
26.04.2012 Non-Linear Consensus-Kuramoto model;
Formation stabilization
30.04.2012 Networks as Systems;
Controllability
 
03.05.2012 Networks as Systems;
Edge Agreement
 
07.05.2012 Exercises Homework 2
07.05.2012 Synthesis of Networks
convex and integer optimization; RSN topology design
 
07.05.2012 Synthesis of Networks
Consensus Topology Design
 
10.05.2012 Synthesis of Networks
Maximizing connectivity with state dependent graphs
14.05.2012 TBD
 
17.05.2012 Holiday  
21.05.2012 Formation Rigidity
24.05.2012 Introduction to Passivity theory  
28.05.2012 Holiday  
31.05.2012 Holiday  
04.06.2012 Introduction to Passivity theory  
07.06.2012 Holiday  
11.06.2012 Passivity theory cont.;
Port-Hamiltonian Systems: Modeling
 
14.06.2012 Port Hamiltonian Systems: Modeling (cont.)  
18.06.2012 Port Hamiltonian Systems: Control  
21.06.2012 Port Hamiltonian Systems: Control (cont.)  
24.06.2012 Applications: formation control of multiple UAVs
general formulation
 
28.06.2012 Applications: formation control of multiple UAVs
modeling and control
 
02.07.2012 TBD  
05.07.2012 TBD  
09.07.2012 TBD  
12.07.2012 TBD  
16.07.2012 TBD  
19.07.2012 TBD  

Final Project

Project Guidelines

Resources

Matlab Tools:

  • Matgraph

Suggested readings

Books:

  • Algebraic Graph Theory
  • Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications
  • Distributed Algorithms for Robotic Networks
  • The Structure and Dynamics of Networks
  • Constructive Nonlinear Control
  • L2-Gain and Passivity Techniques in Nonlinear Control
  • Control of Interactive Robotic Interface: A Port-Hamiltonian Approach

Other material:

Consensus

  • A. Jadbabaie, J. Lin, and A. Morse, Coordination of groups of mobile agents using nearest neighbor rules.
  • A. Jadbabaie, N. Motee, and M. Barahona, On the stability of the Kuramoto model of coupled nonlinear oscillators.
  • Y. Hatano and M. Mesbahi, Agreement over Random Networks.
  • L. Xiao, S. Boyd, and S. Kim, Distributed average consensus with least-mean-square deviation.

Networks as Systems

  • R. Olfati-Saber, J. Fax, and R. Murray, Consensus and cooperation in networked multi-agent systems.
  • A. Rahmani, M. Ji, and M. Mesbahi, Controllability of multiagent systems from a graph-theoretic perspective.
  • D. Zelazo and M. Mesbahi, Edge agreement: Graph-theoretic performance bounds and passivity.

Port-Hamiltonian Systems

  • Port-Hamiltonian systems: an introductory survey
  • Port-Hamiltonian Systems: From Geometric Network Modeling to Control. Part I
  • Port-Hamiltonian Systems: From Geometric Network Modeling to Control. Part II
  • Port-Hamiltonian Systems: From Geometric Network Modeling to Control. Part III
  • Dirac structures and port-Hamiltonian systems. Interconnection and model order reduction
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