Quasi-projective synchronization of fractional order chaotic systems under input saturation
Fei Wang and
Zhaowen Zheng
Physica A: Statistical Mechanics and its Applications, 2019, vol. 534, issue C
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.
Keywords: Fractional order systems; Chaotic system; Input saturation; Quasi-projective synchronization; Sector-bounded condition (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (8)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312397
DOI: 10.1016/j.physa.2019.122132
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