Null controllability with vanishing energy for discrete-time systems in Hilbert space
Null controllability with vanishing energy for discrete-time systems in Hilbert space
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DOI：
10.1137/060657637
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发表时间：
2007-04
期刊：
影响因子：
--
通讯作者：
A. Ichikawa
中科院分区：
文献类型：
--
作者：
A. Ichikawa
本文研究了希尔伯特空间中离散时间系统的零能控性。与连续时间系统的情形一样，给出了代数Riccati方程的充要条件。然后给出了涉及系统算子谱的充要条件。还考虑了能量为零的能达性和能控性，并给出了它们的充要条件。最后讨论了它在采样数据系统、脉冲控制系统和周期系统中的应用。
In this paper null controllability with vanishing energy is considered for discrete-time systems in Hilbert space. As in the case of continuous time systems necessary and sufficient conditions in terms of an algebraic Riccati equation are given. Then necessary and sufficient conditions involving the spectrum of the system operator are given. Reachability and controllability with vanishing energy are also considered, and necessary and sufficient conditions for them are given. Finally applications to sampled-data systems, systems with impulse control and periodic systems are discussed.