Delay-Variation-Dependent Stability of Delayed Discrete-Time Systems

Zhang, Chuan-Ke, He, Yong, Jiang, L ORCID: 0000-0001-6531-2791, Wu, Min and Zeng, Hong-Bing (2016) Delay-Variation-Dependent Stability of Delayed Discrete-Time Systems IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61 (9). pp. 2663-2669. ISSN 0018-9286, 1558-2523

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Abstract

This note is concerned with the stability analysis of linear discrete-time system with a time-varying delay. A generalized free-weighting-matrix (GFWM) approach is proposed to estimate summation terms in the forward difference of Lyapunov functional, and theoretical study shows that the GFWM approach encompasses several frequently used estimation approaches as special cases. Moreover, an augmented Lyapunov functional with a delay-product type term is constructed to take into account delay changing information. As a result, the proposed GFWM approach, together with the augmented Lyapunov functional, leads to a less conservative delay-variation-dependent stability criterion. Finally, numerical examples are given to illustrate the advantages of the proposed criterion.

Item Type:	Article
Uncontrolled Keywords:	Discrete-time system, generalized free-weighting-matrix approach, stability, time-varying delay
Depositing User:	Symplectic Admin
Date Deposited:	10 Feb 2017 15:28
Last Modified:	16 Jun 2026 09:58
DOI:	10.1109/TAC.2015.2503047
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3005741
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