Stabilization of control processes in Hilbert spaces

Stabilization of control processes in Hilbert spaces
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希尔伯特空间中控制过程的稳定性

DOI:
10.1017/s0308210500010581
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发表时间:
1978
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
L. Pandolfi
L. Pandolfi
中科院分区:
--
文献类型:
--
作者:
L. Pandolfi

文献摘要

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本文研究了Hilbert空间中非自治控制过程的镇定问题。证明了稳定反馈存在的充要条件是对应的Riccati方程有对称正定的有界解。应用控制过程中的控制时滞。
Synopsis In this paper we study the stabilization problem for non autonomous control processes in Hilbert spaces. We prove that a stabilizing feedback exists if and only if an associated Riccati equation has a bounded solution which is symmetric and positive definite. An application to control processes with delays in control is presented.