Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Stabilization of networked systems under computational power constraints. / Matveev, Alexey S.; Savkin, Andrey V.
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1475-1480 7074614.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Stabilization of networked systems under computational power constraints
AU - Matveev, Alexey S.
AU - Savkin, Andrey V.
PY - 2014/3/26
Y1 - 2014/3/26
N2 - The paper considers stabilization under communication errors and limited data rate by means of realistic controllers with bounded (as time progresses) computational powers. Discrete-time partially observed noisy linear systems are studied for which the sensor signals are communicated to the controller over a finite capacity stochastic digital link. Addressed is stabilization in probability. It is shown that stability cannot typically be achieved by means of a finite memory decoder-controller so far as the boundary of the corresponding stabilizability domain is given by the zero-error capacity of the channel, which is typically zero. At the same time, stability can be achieved with keeping the expected values of the consumed computational resources bounded: the boundary of the domain where stabilization can be ensured by a coder and decoder with bounded expected computational powers is given by the ordinary Shannon capacity of the noisy channel.
AB - The paper considers stabilization under communication errors and limited data rate by means of realistic controllers with bounded (as time progresses) computational powers. Discrete-time partially observed noisy linear systems are studied for which the sensor signals are communicated to the controller over a finite capacity stochastic digital link. Addressed is stabilization in probability. It is shown that stability cannot typically be achieved by means of a finite memory decoder-controller so far as the boundary of the corresponding stabilizability domain is given by the zero-error capacity of the channel, which is typically zero. At the same time, stability can be achieved with keeping the expected values of the consumed computational resources bounded: the boundary of the domain where stabilization can be ensured by a coder and decoder with bounded expected computational powers is given by the ordinary Shannon capacity of the noisy channel.
UR - http://www.scopus.com/inward/record.url?scp=84955171521&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84955171521
SP - 1475
EP - 1480
BT - 2009 European Control Conference, ECC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 10th European Control Conference, ECC 2009
Y2 - 23 August 2009 through 26 August 2009
ER -
ID: 50905824