Algebraic criteria are proposed to check the convergence of the solution of linear singularly perturbed system, which has potential significance in the controller design.

• 在已有结论的基础上，得到了奇异摄动系统广义状态解收敛的代数判剧，该判据简化了对奇异摄动系统广义状态解收敛性的判别，为系统控制器设计提供了一种代数条件。