This article proposes various sufficient controllability criteria for a class of networked higher dimensional systems under the influence of impulses exhibited by their state functions. The conditions obtained are characterised in terms of impulse matrices, inner coupling matrix, network topology and the system matrices. It is demonstrated that Kalman’s rank condition and Popov–Belevitch–Hautus (PBH)-rank condition are just sufficient conditions for the controllability of these systems, but not necessary unlike as that of the networked systems without impulses. Various numerical examples are provided to validate the theoretical results. Further, the control function and controlled trajectory are plotted for the systems considered, that helps to estimate the cost of controller.

本文针对一类网络化高维系统在其状态函数所展现的脉冲影响下提出了各种充分的可控性准则。根据脉冲矩阵，内部耦合矩阵，网络拓扑和系统矩阵来表征获得的条件。事实证明，卡尔曼的秩条件和波波夫-贝列维奇-豪特斯（PBH）秩条件仅是这些系统可控制性的充分条件，但与没有脉冲的网络系统一样，没有必要。提供了各种数值示例来验证理论结果。此外，针对所考虑的系统绘制了控制功能和受控轨迹，这有助于估算控制器的成本。