Synthesis of synchronized chaotic systems based on observers

This paper proposes an observer-based approach to synthesis of synchronized chaotic systems. We consider a linear system with nonlinear feedback which exhibits chaos. Using an observer for the linear system, we design synchronized chaotic systems. Moreover, we introduce a new concept of synchronization called (M, c)-synchronization. We also propose a synthesis method for (M, c)-synchronized systems by modifying the observer-based method.