Networked Dynamical Systems: models and applications
12-15 January 2015
The aim of the course is to provide an introduction to various classes of networked systems and to their dynamical properties
4 days of lectures (January 12 - 15) from 8:30 to 11:30
- day 1 (room: Signalen): Introduction to the course; distributed dynamics; Positive systems; Perron-Frobenius theorem. Applications in discrete-time: Markov chains; PageRank algorithm.
- day 2 (room: Systemet): Continuous-time positive systems; Positive equilibria and stability; Cooperative nonlinear systems. Applications: Compartmental systems; Power control of wireless networks.
- day 3 (room: Signalen): Consensus problem. Synchronization.
- day 4 (room: Signalen): Biological applications: Biochemical reaction networks; Flux balance analysis.
Lecturer and examinator:
Positive Linear Systems. Wiley 2000
H. Ishii, R. Tempo.
The PageRank problem, multiagent consensus and web aggregation, IEEE Control Systems Magazine, June 2014.
Consensus problems in networks of agents with switching topology and time-delay. IEEE Trans. Autom. Contr, 2004.
Notes on Biochemical Reactions Networks. 2013.
Hand-in exercises during the course
Page responsible: Claudio Altafini
Last updated: 2015-01-14