Quasi-projective synchronization of fractional order chaotic systems under input saturation

• Published in: Physica A Vol. 534; p. 122132
• Main Authors: Wang, Fei, Zheng, Zhaowen
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.11.2019
• Subjects: Chaotic system; Fractional order systems; Input saturation; Quasi-projective synchronization; Sector-bounded condition; Fractional order systems; Input saturation; Quasi-projective synchronization; Chaotic system; Sector-bounded condition
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2019.122132

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. •The quasi-projective synchronization criteria have been derived.•The saturation constraint has been taken into account in the control input.•An algorithm has been provided to estimate the stable region.