The $\mathscr{H}_{\infty}$ synchronization of nonlinear Bloch systems via dynamic feedback control approach

doi:10.1088/1674-1056/20/7/070502

Abstract We consider an $\mathscr{H}_{\infty}$ synchronization problem in nonlinear Bloch systems. Based on Lyapunov stability theory and linear matrix inequality formulation, a dynamic feedback controller is designed to guarantee asymptotic stability of the master-slave synchronization. Moreover, this controller reduces the effect of an external disturbance to the $\mathscr{H}_{\infty}$ norm constraint. A numerical example is given to validate the proposed synchronization scheme.

Keywords: $\mathscr{H}_{\infty}$ synchronization Bloch system dynamic control linear matrix inequality

Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Cite this article:

D.H. Ji, J.H. Koo, S.C. Won, and Ju H. Park The $\mathscr{H}_{\infty}$ synchronization of nonlinear Bloch systems via dynamic feedback control approach 2011 Chin. Phys. B 20 070502

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The $\mathscr{H}_{\infty}$ synchronization of nonlinear Bloch systems via dynamic feedback control approach

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