Quasi-synchronization for variable-order fractional complex dynamical networks with hybrid delay-dependent impulses. (English) Zbl 1533.93750
Summary: This paper focuses on addressing the problem of quasi-synchronization in heterogeneous variable-order fractional complex dynamical networks (VFCDNs) with hybrid delay-dependent impulses. Firstly, a mathematics model of VFCDNs with short memory is established under multi-weighted networks and mismatched parameters, which is more diverse and practical. Secondly, under the framework of variable-order fractional derivative, a novel fractional differential inequality has been proposed to handle the issue of quasi-synchronization with hybrid delay-dependent impulses. Additionally, the quasi-synchronization criterion for VFCDNs is developed using differential inclusion theory and Lyapunov method. Finally, the practicality and feasibility of this theoretical analysis are demonstrated through numerical examples.
MSC:
| 93D99 | Stability of control systems |
| 93B70 | Networked control |
| 26A33 | Fractional derivatives and integrals |
| 93C43 | Delay control/observation systems |
Keywords:
hybrid delay-dependent impulses; quasi-synchronization; short memory; variable-order fractional complex dynamical networksReferences:
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