Abstract

This chapter is focused to study various analytical conditions for occurrence of projective synchronization of time varying delayed chaotic systems. Synchronization criteria which depend on the time delay are presented via linear matrix inequalities and these conditions have been extended to chaotic neural networks with time-varying delay. Non-differentiable time varying delays can be present in the system and the more relaxed condition gives the upper delay bounds for ensuring the projective synchronization. To achieve the desired proportional relation between the drive and response system, an active nonlinear control technique using an observer technique is applied and the control is practically realizable. Various numerical results on Ikeda system, Lu attractor and modified delayed-Chua system are exhibited to show the effectiveness of the proposed results.

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