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Adaptive-based generalized asymptotic outer synchronization control for heterogeneous complex dynamic networks with double time-varying delays

Author

Listed:
  • Li, Bobo
  • Fang, Rongdong
  • Gao, Peitao
  • Zhong, Lingshu
  • Wang, Yinhe

Abstract

This paper mainly investigates the generalized asymptotic outer synchronization problem for heterogeneous complex dynamic networks (HCDNs) consisting of drive dynamic network (DDN) and response dynamic network (RDN), subject to double time-varying delays and multi-dimensional uncertain parameter vectors. An adaptive synchronization control scheme (ASCS) with node controller, bounded time-varying gain and adaptive laws is proposed, leading to the generalized asymptotic outer synchronization of HCDNs, regardless of the uncertainties, mismatched nodes, unknown dynamic connections and double time-varying delays. Different from the existing research results based on the availability of connection relationships or other assumptions, the ASCS presented in this paper avoids introducing the coupled dissipative condition, and adaptive laws are designed to estimate multi-dimensional uncertain parameter vectors and unknown dynamic connections. This prevents increasing the complexity of the system and enhances the generality of the model, which is more consistent with the characteristics of real-world systems. Finally, two numerical simulation examples are provided to verify the effectiveness of the control scheme.

Suggested Citation

  • Li, Bobo & Fang, Rongdong & Gao, Peitao & Zhong, Lingshu & Wang, Yinhe, 2026. "Adaptive-based generalized asymptotic outer synchronization control for heterogeneous complex dynamic networks with double time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 207(C).
    • Handle: RePEc:eee:chsofr:v:207:y:2026:i:c:s0960077926001438
    DOI: 10.1016/j.chaos.2026.118002
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