Generalized Halanay Inequalities with Applications to Generalized Exponential Stability and Boundedness of Time-Delay Systems

Joint Authors

Ruan, Dehao
Liu, Yue

Source

Mathematical Problems in Engineering

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-10-21

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Civil Engineering

Abstract EN

In this paper, a class of generalized Halanay inequalities is investigated.

Under some assumptions, the generalized exponential stability and boundedness are discussed by means of integral inequalities.

We do not require the boundedness of the time-varying delays and coefficients.

In addition, our results improve some previous works.

At last, three examples and simulations are given to illustrate the effectiveness of the main results.

American Psychological Association (APA)

Ruan, Dehao& Liu, Yue. 2019. Generalized Halanay Inequalities with Applications to Generalized Exponential Stability and Boundedness of Time-Delay Systems. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1196326

Modern Language Association (MLA)

Ruan, Dehao& Liu, Yue. Generalized Halanay Inequalities with Applications to Generalized Exponential Stability and Boundedness of Time-Delay Systems. Mathematical Problems in Engineering No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1196326

American Medical Association (AMA)

Ruan, Dehao& Liu, Yue. Generalized Halanay Inequalities with Applications to Generalized Exponential Stability and Boundedness of Time-Delay Systems. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1196326

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1196326