Minimal-time network reconstruction for DTLTI systems

[en] This paper considers the problem of obtaining in minimal time the “dynamical network structure” (DNS) from partial state observations of a discrete-time linear time-invariant system. From the DNS, we can not only obtain the network structure of the system at the measurement level, but also estimate the minimal number of hidden states which are not observed directly. First, we discuss when reconstruction of the DNS is and is not possible. Then, we give an algorithm to find the minimal number of successive outputs to find the DNS. Finally, we discuss extensions of the results to non-linear and noisy systems. These results can be directly applied to the decentralised network control problem of multi-agent systems to find network connections of the observed agents.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Yuan, Y.

Goncalves, Jorge ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)

Language :

English

Title :

Minimal-time network reconstruction for DTLTI systems

Publication date :

2010

Event name :

49th IEEE Conference on Decision and Control (CDC)

Event place :

Atlanta, GA, United States

Event date :

December 15-17, 2010

Main work title :

The proceedings of the 49th IEEE Conference on Decision and Control (CDC)

Publisher :

IEEE

ISBN/EAN :

978-1-4244-7745-6

Pages :

2676 - 2681

Peer reviewed :

Peer reviewed

Available on ORBilu :

since 11 March 2015

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