Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1708-1716 |
| Number of pages | 9 |
| Journal | International Journal of Control |
| Volume | 85 |
| Issue number | 11 |
| Early online date | 2 Jul 2012 |
| DOIs | |
| Publication status | Published - 2012 |
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Bibliographical note
This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control on 2/7/12, available online: http://www.tandfonline.com/10.1080/00207179.2012.700488Keywords
- stochastic pinning controllability
- probabilistic adaptive control
- Kullback–Leibler distance
- stochastic complex dynamical networks
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Probabilistic synchronisation of pinning control. / Herzallah, Randa.
In: International Journal of Control, Vol. 85, No. 11, 2012, p. 1708-1716.Research output: Contribution to journal › Article
TY - JOUR
T1 - Probabilistic synchronisation of pinning control
AU - Herzallah, Randa
N1 - This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control on 2/7/12, available online: http://www.tandfonline.com/10.1080/00207179.2012.700488
PY - 2012
Y1 - 2012
N2 - This paper is concerned with synchronization of complex stochastic dynamical networks in the presence of noise and functional uncertainty. A probabilistic control method for adaptive synchronization is presented. All required probabilistic models of the network are assumed to be unknown therefore estimated to be dependent on the connectivity strength, the state and control values. Robustness of the probabilistic controller is proved via the Liapunov method. Furthermore, based on the residual error of the network states we introduce the definition of stochastic pinning controllability. A coupled map lattice with spatiotemporal chaos is taken as an example to illustrate all theoretical developments. The theoretical derivation is complemented by its validation on two representative examples.
AB - This paper is concerned with synchronization of complex stochastic dynamical networks in the presence of noise and functional uncertainty. A probabilistic control method for adaptive synchronization is presented. All required probabilistic models of the network are assumed to be unknown therefore estimated to be dependent on the connectivity strength, the state and control values. Robustness of the probabilistic controller is proved via the Liapunov method. Furthermore, based on the residual error of the network states we introduce the definition of stochastic pinning controllability. A coupled map lattice with spatiotemporal chaos is taken as an example to illustrate all theoretical developments. The theoretical derivation is complemented by its validation on two representative examples.
KW - stochastic pinning controllability
KW - probabilistic adaptive control
KW - Kullback–Leibler distance
KW - stochastic complex dynamical networks
U2 - 10.1080/00207179.2012.700488
DO - 10.1080/00207179.2012.700488
M3 - Article
VL - 85
SP - 1708
EP - 1716
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 11
ER -