Exponential Lagrange Stability for Markovian Jump Uncertain Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Impulsive Control

Joint Authors

Zhu, Quanxin
Ali, M. Syed
Yogambigai, J.
Cai, Jingwei

Source

Mathematical Problems in Engineering

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-06-20

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Civil Engineering

Abstract EN

The problem of exponential Lagrange stability analysis of Markovian jump neural networks with leakage delay and mixed time-varying delays is studied in this paper.

By utilizing the Lyapunov functional method, employing free-weighting matrix approach and inequality techniques in matrix form, we establish several novel stability criteria such that, for all admissible parameter uncertainties, the suggested neural network is exponentially stable in Lagrange sense.

The derived criteria are expressed in terms of linear matrix inequalities (LMIs).

A numerical example is provided to manifest the validity of the proposed results.

American Psychological Association (APA)

Yogambigai, J.& Ali, M. Syed& Zhu, Quanxin& Cai, Jingwei. 2018. Exponential Lagrange Stability for Markovian Jump Uncertain Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Impulsive Control. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1208428

Modern Language Association (MLA)

Yogambigai, J.…[et al.]. Exponential Lagrange Stability for Markovian Jump Uncertain Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Impulsive Control. Mathematical Problems in Engineering No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1208428

American Medical Association (AMA)

Yogambigai, J.& Ali, M. Syed& Zhu, Quanxin& Cai, Jingwei. Exponential Lagrange Stability for Markovian Jump Uncertain Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Impulsive Control. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1208428

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1208428