Abstract
This paper investigates the synchronization of two memristive chaotic circuits via state-dependent impulsive control. Different from most existing publications, impulses occurring is not at fixed instants but depends on the states of systems. Furthermore, the state variables of the driving system (driving system which does not involve the impulses) are transmitted to the response system, and then the state variables of response system are subjected to jumps at the state-dependent impulsive instants, and ultimately to achieve synchronization. Based on the Lyapunov stability theory, impulsive differential equation, and inequality techniques, the sufficient conditions with theoretical demonstration ensuring every solution of error system intersects each surface of the discontinuity exactly once are derived. Then, by applying B-equivalence method, the error system with state-dependent impulses can be reduced to the case of fixed-time impulses. Finally, the numerical simulations are carried out to demonstrate the effectiveness of the obtained results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
