Abstract

In this paper, the synchronization problem is addressed for semi-Markov jump master–slave neural networks (SMJNN) with extended (X,Y,Z)-dissipativity performance and partly unknown transition rates (TR). Comparing with constant TR in Markovian jump neural networks, the TR of SMJNN depend on the sojourn time (ST) of semi-Markov process. First, some sufficient stability and extended (X,Y,Z)-dissipativity criteria are established for the error system with partly unknown TR. Then, ST-dependent dissipativity criterion is transformed to feasible condition by the upper and lower bounds of TR. Furthermore, the state feedback controller is also designed to ensure the synchronization of SMJNN. Finally, a numerical example is provided to verify the admissibility and effectiveness of the acquired results.

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 call

Disclaimer: 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.