synchronization of the coupled distributed parameter system with time delay via proportional-spatial derivative control

synchronization of the coupled distributed parameter system with time delay via proportional-spatial derivative control

;Kun Yuan;Abdulaziz Alofi;Jinde Cao;Abdullah Al-Mazrooei;Ahmed Elaiw
Journal of the American Heart Association 2014 Vol. 2014 pp. -
127
yuan2014discretesynchronization

Abstract

By combining parabolic partial differential equation (PDE) theory with Lyapunov technique, the synchronization is studied for a class of coupled distributed parameter systems (DPS) described by PDEs. First, based on Kronecker product and Lyapunov functional, some easy-to-test sufficient condition is given to ensure the synchronization of coupled DPS with time delay. Secondly, in the case that the whole coupled system cannot synchronize by itself, the proportional-spatial derivative (P-sD) state feedback controller is designed and applied to force the network to synchronize. The sufficient condition on the existence of synchronization controller is given in terms of a set of linear matrix inequalities. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.

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194618
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10.1155/2014/418258
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