Discrete-Time Linear-Quadratic Optimal Control Problems for Time-Delayed Descriptor Systems.

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Title: Discrete-Time Linear-Quadratic Optimal Control Problems for Time-Delayed Descriptor Systems.
Authors: Liu, Bo1 (AUTHOR) boliu2020@muc.edu.cn, Lv, Pengchao2 (AUTHOR) lv@imut.edu.cn, Huang, Junjie3 (AUTHOR) huangjunjie@imu.edu.cn, Jiang, Fangcui4 (AUTHOR) jiangfcsdu@sdu.edu.cn, Su, Housheng5,6 (AUTHOR) houshengsu@gmail.com
Source: Circuits, Systems & Signal Processing. Jul2026, Vol. 45 Issue 7, p5270-5295. 26p.
Subjects: Time delay systems, Descriptor systems, H2 control, Digital control systems, Numerical analysis, Operator theory
Abstract: This paper studies the discrete-time linear-quadratic optimal control problem (LQOCP) for time-delayed descriptor systems in a real Hilbert space, and obtains some novel sufficient conditions for the solvability of the discrete-time LQOCP by the generalized inverse theory and space decomposition technique. Especially, the proposed methods are simpler, easier to verify and compute, and can solve the LQOCP without imposing any range inclusion condition. In addition, our work is verified by some numerical examples. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This paper studies the discrete-time linear-quadratic optimal control problem (LQOCP) for time-delayed descriptor systems in a real Hilbert space, and obtains some novel sufficient conditions for the solvability of the discrete-time LQOCP by the generalized inverse theory and space decomposition technique. Especially, the proposed methods are simpler, easier to verify and compute, and can solve the LQOCP without imposing any range inclusion condition. In addition, our work is verified by some numerical examples. [ABSTRACT FROM AUTHOR]
ISSN:0278081X
DOI:10.1007/s00034-025-03457-3