TY - GEN
T1 - Sampling multidimensional Wiener processes
AU - Nar, Kamil
AU - Basar, Tamer
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014
Y1 - 2014
N2 - In this paper, we formulate an optimal scheduling problem in continuous time for transmitting samples of a multidimensional Wiener process when there is a constraint on the communication between the observer and the estimator. We provide the optimal policy for both finite horizon and infinite horizon, and show that event-triggered sampling with constant threshold is optimal over infinite horizon when there is a hard constraint on the average frequency of communication.
AB - In this paper, we formulate an optimal scheduling problem in continuous time for transmitting samples of a multidimensional Wiener process when there is a constraint on the communication between the observer and the estimator. We provide the optimal policy for both finite horizon and infinite horizon, and show that event-triggered sampling with constant threshold is optimal over infinite horizon when there is a hard constraint on the average frequency of communication.
UR - http://www.scopus.com/inward/record.url?scp=84988306439&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2014.7039920
DO - 10.1109/CDC.2014.7039920
M3 - Conference contribution
AN - SCOPUS:84988306439
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3426
EP - 3431
BT - 53rd IEEE Conference on Decision and Control,CDC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Y2 - 15 December 2014 through 17 December 2014
ER -