Successive lag quasi-synchronization of fractional-order dynamical networks
Danhua He, Liguang Xu · Chaos Solitons & Fractals · 2026
This paper presents a linear feedback control approach and an adaptive linear feedback control strategy to achieve successive lag quasi-synchronization in Caputo fractional-order dynamical networks. By employing Lyapunov-based methods, Laplace transforms of fractional derivatives, and the boundedness of Mittag-Leffler functions, delay-independent sufficient conditions for achieving successive lag quasi-synchronization are rigorously derived. As a practical illustration, the proposed control method is applied to realize successive lag quasi-consensus in a second-order multi-agent system. Theoretical results are validated through numerical simulations with the Chua’s system modeling the nonlinear dynamics of all network nodes.