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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]
Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 194867716
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  Data: Discrete-Time Linear-Quadratic Optimal Control Problems for Time-Delayed Descriptor Systems.
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  Data: <searchLink fieldCode="AR" term="%22Liu%2C+Bo%22">Liu, Bo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> boliu2020@muc.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Lv%2C+Pengchao%22">Lv, Pengchao</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> lv@imut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Huang%2C+Junjie%22">Huang, Junjie</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> huangjunjie@imu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Jiang%2C+Fangcui%22">Jiang, Fangcui</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> jiangfcsdu@sdu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Su%2C+Housheng%22">Su, Housheng</searchLink><relatesTo>5,6</relatesTo> (AUTHOR)<i> houshengsu@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Circuits%2C+Systems+%26+Signal+Processing%22">Circuits, Systems & Signal Processing</searchLink>. Jul2026, Vol. 45 Issue 7, p5270-5295. 26p.
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  Data: <searchLink fieldCode="DE" term="%22Time+delay+systems%22">Time delay systems</searchLink><br /><searchLink fieldCode="DE" term="%22Descriptor+systems%22">Descriptor systems</searchLink><br /><searchLink fieldCode="DE" term="%22H2+control%22">H2 control</searchLink><br /><searchLink fieldCode="DE" term="%22Digital+control+systems%22">Digital control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink>
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  Data: 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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  Data: <i>Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Descriptor systems
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      – SubjectFull: H2 control
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      – SubjectFull: Digital control systems
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              Text: Jul2026
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              Y: 2026
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