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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
【摘要】 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。
【Abstract】 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.
【关键词】 Delta算子;
特征值判据;
李亚普诺夫稳定判据;
【Key words】 Delta-operator; eigenvalue criterion; Lyapunov stability criterion;
【Key words】 Delta-operator; eigenvalue criterion; Lyapunov stability criterion;
- 【文献出处】 哈尔滨理工大学学报 ,Journal of Harbin University of Science and Technology , 编辑部邮箱 ,1999年06期
- 【分类号】TP273.5
- 【下载频次】63