TY - GEN
T1 - On the moment dynamics of discrete measures
AU - Zeng, Shen
AU - Allgower, Frank
N1 - Funding Information:
They would like to thank the German Research Foundation (DFG) for financial support of the project under grant number AL316/14-1 and within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart
Publisher Copyright:
© 2016 IEEE.
PY - 2016/12/27
Y1 - 2016/12/27
N2 - In this paper, we provide a systematic account on the use of elementary symmetric polynomials as a specification of both states and outputs of a group of agents in a multitarget tracking setup. In particular, this includes a generalization of so-called symmetric measurement equations, which were previously introduced in multitarget tracking for special cases. Furthermore, we show that the dynamics of these symmetric polynomials are governed by linear tensor systems, which are typically studied in the context of the Carleman embedding, as well as polynomial systems.
AB - In this paper, we provide a systematic account on the use of elementary symmetric polynomials as a specification of both states and outputs of a group of agents in a multitarget tracking setup. In particular, this includes a generalization of so-called symmetric measurement equations, which were previously introduced in multitarget tracking for special cases. Furthermore, we show that the dynamics of these symmetric polynomials are governed by linear tensor systems, which are typically studied in the context of the Carleman embedding, as well as polynomial systems.
UR - http://www.scopus.com/inward/record.url?scp=85010818897&partnerID=8YFLogxK
U2 - 10.1109/CDC.2016.7799018
DO - 10.1109/CDC.2016.7799018
M3 - Conference contribution
AN - SCOPUS:85010818897
T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
SP - 4901
EP - 4906
BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 55th IEEE Conference on Decision and Control, CDC 2016
Y2 - 12 December 2016 through 14 December 2016
ER -