Xu, Hao-Tian, Zhang, Chuan-Ke, Jiang, Lin ORCID: 0000-0001-6531-2791 and Smith, Jeremy ORCID: 0000-0002-0212-2365
(2017)
Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional.
APPLIED MATHEMATICAL MODELLING, 45.
pp. 955-964.
Text
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Abstract
This paper is concerned with the stability analysis of continuous linear systems with two additive time-varying delays in the Lyapunov–Krasovskii functional (LKF) framework. Two novel delay-product-type terms are introduced into LKF candidate inspired by our previous research. The Wirtinger-based inequality, together with the reciprocally convex combination technique, is applied to estimate the integral terms arising in the derivative of the LKF. As a result, a new delay- and its-change-rate-dependent stability criterion is established. Its advantage of less conservatism than some existing criteria is demonstrated through a numerical example. Finally, the stability criterion is applied to analyze the stability of the load frequency control scheme of power systems.
Item Type: | Article |
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Additional Information: | publisher: Elsevier articletitle: Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional journaltitle: Applied Mathematical Modelling articlelink: http://dx.doi.org/10.1016/j.apm.2017.01.032 content_type: article copyright: © 2017 Elsevier Inc. All rights reserved. |
Uncontrolled Keywords: | Linear system, Time-varying delay, Stability, Writinger-based inequality, Delay-product-type functional |
Depositing User: | Symplectic Admin |
Date Deposited: | 10 Apr 2017 06:51 |
Last Modified: | 03 Feb 2023 02:59 |
DOI: | 10.1016/j.apm.2017.01.032 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3006857 |