具有时滞的分数阶离散状态空间系统的稳定性条件

2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR) Pub Date : 2019-08-01 DOI:10.1109/MMAR.2019.8864689

A. Ruszewski

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引用次数: 5

摘要

分析了具有时滞的分数阶离散线性系统的稳定性问题。考虑了差分存在时移的状态空间模型。建立了渐近稳定和实际稳定的新的充分必要条件。对单矩阵系统也进行了分析。证明了当状态矩阵的所有特征值都在复平面的稳定区内时，系统是渐近(实际)稳定的。

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Stability conditions for fractional discrete-time state-space systems with delays

The stability problem of fractional discrete-time linear systems with delays has been analysed. The state-space model with a time shift in the difference has been considered. New necessary and sufficient conditions for the asymptotic stability and the practical stability have been established. The systems with only one matrix have been also analysed. It has been shown that such systems are asymptotically (practically) stable if all eigenvalues of the state matrix lie in the stability region of the complex plane.

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来源期刊

2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)

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