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Sampled-data-based stability and stabilization of Lurie systems.

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Bibliographic Details
Title: Sampled-data-based stability and stabilization of Lurie systems.
Authors: Wang, Wei1 (AUTHOR), Liang, Jin-Ming1 (AUTHOR), Zeng, Hong-Bing1 (AUTHOR) 9804zhb@163.com
Source: Applied Mathematics & Computation. Sep2025, Vol. 501, pN.PAG-N.PAG. 1p.
Subject Terms: *DISCRETE-time systems, *LYAPUNOV functions, *ALGORITHMS, *LITERATURE
Abstract: This paper discusses the sampled-data control problem of Lurie systems. First, a sufficient condition is presented to ensure system stability with a predefined controller gain. This condition is then extended to design a state-feedback controller (SFC) that stabilizes the systems. Additionally, the paper introduces a cone complementary linearization iteration (CCLI) algorithm with an enhanced iteration condition to obtain the controller gain. Numerical examples demonstrate that the proposed method surpasses existing methods in the literature. • A novel two-sided looped Lyapunov function is proposed to establish stability conditions for Lurie system. • An improved cone complementary linearisation iteration algorithm is presented to obtain controller gains. • It is verified in the numerical examples that the proposed method outperforms others in the literature. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:This paper discusses the sampled-data control problem of Lurie systems. First, a sufficient condition is presented to ensure system stability with a predefined controller gain. This condition is then extended to design a state-feedback controller (SFC) that stabilizes the systems. Additionally, the paper introduces a cone complementary linearization iteration (CCLI) algorithm with an enhanced iteration condition to obtain the controller gain. Numerical examples demonstrate that the proposed method surpasses existing methods in the literature. • A novel two-sided looped Lyapunov function is proposed to establish stability conditions for Lurie system. • An improved cone complementary linearisation iteration algorithm is presented to obtain controller gains. • It is verified in the numerical examples that the proposed method outperforms others in the literature. [ABSTRACT FROM AUTHOR]
ISSN:00963003
DOI:10.1016/j.amc.2025.129455