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基于李雅谱诺夫稳定性理论，利用最优状态反馈，研究了带延迟干扰的线性系统稳定鲁棒性问题，导出了具有结构性干扰和非结构性干扰情况下系统鲁棒渐近稳定的充分条件，并给出了相应的推论，通过选择合适的里雅普诺夫函数，改善了系统稳定鲁棒性的界。计算实例表明，此方法扩大了系统稳定鲁棒性的界，从而降低了保守性。
Based on the Lyapunov stability theory, the optimal robustness of the linear system with delay disturbance is studied by using the optimal state feedback. The robust asymptotic stability of the system with and without structural disturbance is derived Sufficient conditions are given and corresponding corollaries are given. By selecting the appropriate Lyapunov function, the stability of the system is improved. The calculation example shows that this method expands the bounds of system stability and robustness, thus reducing the conservativeness.