An approach of partial control design for system control and synchronization

Wuhua Hu, Jiang Wang and Xiumin Li

Chaos, Solitons & Fractals, 2009, vol. 39, issue 3, 1410-1417

Abstract: In this paper, a general approach of partial control design for system control and synchronization is proposed. It turns control problems into simpler ones by reducing their control variables. This is realized by utilizing the dynamical relations between variables, which are described by the dynamical relation matrix and the dependence–influence matrix. By adopting partial control theory, the presented approach provides a simple and general way to stabilize systems to their partial or whole equilibriums, or to synchronize systems with their partial or whole states. Further, based on this approach, the controllers can be simplified. Two examples of synchronizing chaotic systems are given to illustrate its effectiveness.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:3:p:1410-1417

DOI: 10.1016/j.chaos.2007.05.017

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