期刊
IET CONTROL THEORY AND APPLICATIONS
卷 11, 期 14, 页码 2317-2327出版社
WILEY
DOI: 10.1049/iet-cta.2017.0196
关键词
neural chips; memristor circuits; synchronisation; delay systems; Lyapunov methods; state feedback; control system synthesis; linear systems; neurocontrollers; fractional-order memristor-based neural networks; parameter mismatches; time delay; fractional-order differential inclusions; set-valued maps; delayed FMNNs; quasisynchronisation criteria; Lyapunov function; fractional-order differential inequalities; Mittag-Leffler function; synchronisation error bound estimation; linear state feedback; delayed state feedback control law design
资金
- National Natural Science Foundation of China [61473178, 61473177, 61573008]
- SDUST Research Fund [2014TDJH102]
This study addresses the problem of quasi-synchronisation of fractional-order memristor-based neural networks (FMNNs) with time delay in the presence of parameter mismatches. Under the framework of fractional-order differential inclusions and set-valued maps, quasi-synchronisation of delayed FMNNs is discussed and quasi-synchronisation criteria are established by means of constructing suitable Lyapunov function, together with introducing some fractional-order differential inequalities. A new lemma on the estimate of Mittag-Leffler function is derived first, which extends the application of Mittag-Leffler function and plays a key role in the estimate of synchronisation error bound. Then, linear state feedback combined with delayed state feedback control law is designed, which guarantees that for a predetermined synchronisation error bound, quasi-synchronisation of two FMNNs with mismatched parameters will be achieved provided that the feedback gains satisfy the newly-proposed criteria. The obtained results extend and improve some previous published works on synchronisation of FMNNs. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained results.
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