Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model

Joint Authors

Chen, Dongyan
Yu, Hui

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-15

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

The problem of stability analysis is investigated for a class of state saturation two-dimensional (2D) discrete time-delay systems described by the Fornasini-Marchesini (F-M) model.

The delay is allowed to be a bounded time-varying function.

By constructing the delay-dependent 2D discrete Lyapunov functional and introducing a nonnegative scalar β, a sufficient condition is proposed to guarantee the global asymptotic stability of the addressed systems.

Subsequently, the criterion is converted into the linear matrix inequalities (LMIs) which can be easily tested by using the standard numerical software.

Finally, two numerical examples are given to show the effectiveness of the proposed stability criterion.

American Psychological Association (APA)

Chen, Dongyan& Yu, Hui. 2013. Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1010606

Modern Language Association (MLA)

Chen, Dongyan& Yu, Hui. Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1010606

American Medical Association (AMA)

Chen, Dongyan& Yu, Hui. Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1010606

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1010606