FINITE-TIME H&infin; CONTROL FOR A CLASS OF MARKOVIAN JUMPING NEURAL NETWORKS WITH DISTRIBUTED TIME VARYING DELAYS-LMI APPROACH

P. BASKAR; S. PADMANABHAN; M. SYED ALI

doi:10.1016/S0252-9602(18)30766-5

2018 , Vol. 38 >Issue 2: 561 - 579

DOI: https://doi.org/10.1016/S0252-9602(18)30766-5

Articles

FINITE-TIME H_∞ CONTROL FOR A CLASS OF MARKOVIAN JUMPING NEURAL NETWORKS WITH DISTRIBUTED TIME VARYING DELAYS-LMI APPROACH

P. BASKAR ,
S. PADMANABHAN ,
M. SYED ALI

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1. New Horizon College of Engineering, Marathhalli, Bangalore 560103, India;
2. RNS Institute of Technology, Channasandra, Bangalore 560098, India;
3. Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu 632115, India

Received date: 2016-08-25

Revised date: 2017-06-12

Online published: 2018-04-25

Supported by

Y. Li is supported by the National Natural Science Foundation of China (11571283) and L. She is supported by Natural Science Foundation of Guizhou Province (KY[2016]103).

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Abstract

In this article, we investigates finite-time H_∞ control problem of Markovian jumping neural networks of neutral type with distributed time varying delays. The mathematical model of the Markovian jumping neural networks with distributed delays is established in which a set of neural networks are used as individual subsystems. Finite time stability analysis for such neural networks is addressed based on the linear matrix inequality approach. Numerical examples are given to illustrate the usefulness of our proposed method. The results obtained are compared with the results in the literature to show the conservativeness.

Key words： Finite-time H_∞ control, Markovian jumping neural networks; Lyapunov stability

Cite this article

P. BASKAR , S. PADMANABHAN , M. SYED ALI . FINITE-TIME H_∞ CONTROL FOR A CLASS OF MARKOVIAN JUMPING NEURAL NETWORKS WITH DISTRIBUTED TIME VARYING DELAYS-LMI APPROACH[J]. Acta mathematica scientia, Series B, 2018 , 38(2) : 561 -579 . DOI: 10.1016/S0252-9602(18)30766-5

References

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