Networked Dynamical Systems: models and applications
12-15 January 2015
Objective:
The aim of the course is to provide an introduction to various classes of networked systems and to their dynamical properties
Organization
4 days of lectures (January 12 - 15) from 8:30 to 11:30
Course content:
- 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:
-
Claudio Altafini, tel +46 13 281373,
claudio.altafini@liu.se
Course material:
-
Farina, Rinaldi:
Positive Linear Systems
. Wiley 2000 -
H. Ishii, R. Tempo.
The PageRank problem, multiagent consensus and web aggregation
, IEEE Control Systems Magazine, June 2014. -
Olfati-Saber, Murray:
Consensus problems in networks of agents with switching topology and time-delay
. IEEE Trans. Autom. Contr, 2004. -
C. Altafini:
Notes on Biochemical Reactions Networks
. 2013.
Exam:
Hand-in exercises during the course
Page responsible: Claudio Altafini
Last updated: 2015-01-14