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.
Bibliographical noteThis 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
- stochastic pinning controllability
- probabilistic adaptive control
- Kullback–Leibler distance
- stochastic complex dynamical networks