Abstract

This paper investigates the quasi-projective synchronization problem of fractional order chaotic systems subject to input saturation. Based on the sector-bounded condition and fractional order Lyapunov theorem, some matrix inequalities based sufficient criteria are derived to guarantee the quasi-projective synchronization between the master system and slave system. Then, an algorithm for estimating the synchronization region is given. Moreover, the quasi-synchronization and quasi-anti-synchronization are also discussed as special cases. Finally, the results of the proposed methodologies are verified through some numerical simulations.

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