New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper focuses on the stability problems of continuous linear systems with two additive time-varying delay components.
Firstly, an effective and simple Lyapunov–Krasovskii functional (LKF) is established, which not only takes adequate information of delay components and their upper bounds into consideration but also establishes a simpler form to decrease the computational complexity.
Secondly, an improved delay-dependent stability criterion together with its corollary is obtained by employing the generalized free-weighting-matrix-based (GFWM-based) inequality and some other techniques to calculate the derivative of the constructed LKF, which will further reduce the introduced estimation error and make the criteria less conservative.
Lastly, a numerical example is presented to illustrate the less conservatism and lower computational complexity of the derived results.
American Psychological Association (APA)
Liu, Haitao& Liu, Fang. 2020. New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1139954
Modern Language Association (MLA)
Liu, Haitao& Liu, Fang. New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1139954
American Medical Association (AMA)
Liu, Haitao& Liu, Fang. New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1139954
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139954