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This paper investigates the synchronization problems of the coronary artery input time-delay systems with disturbances based on <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> control. By constructing novel Lyapunov&#x2013;Krasovskii functionals and developing delay-partitioning methods, the synchronization criteria are established in view of a free-matrix-based integral inequality and an extended reciprocally convex matrix inequality, which further reduce the conservativeness. Then, a state feedback controller is designed to ensure the robust synchronization of the systems through the proposed matrix inequality. Finally, the simulation results for synchronization are presented to demonstrate the effectiveness of the proposed schemes.