Delta算子设计的线性离散系统的稳定性研究

Stability of Linear Delta-Operator Formulated Discrete-Time System

利用连续系统的李亚普诺夫稳定性理论,对Delta算子设计的线性定常离散时间系统的稳定性进行了分析,得出了相应的特征值判据和李亚普诺夫稳定判据。结果表明,当采样周期趋于零时,其稳定条件接近连续系统的稳定条件。

The stability of linear delta-operator formulated discrete - time systems is analyzed by using Lyapunov stability theory of continue us-time systems. The eigenvalue criterion and Lyapunov stability criterion are obtained accordingly. These results illustrated that its stability condition is close to that of continuous-time systems if sample period tends to be zero.