Nonfragile stabilization for uncertain system with interval time‐varying delays via a new double integral inequality

In this paper, the problem of nonfragile stabilization for uncertain systems with interval time‐varying delays via new double integral inequality approach is studied. Based on the auxiliary function‐based integral inequality, a new double integral inequality is developed in this literature. Then, to...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2018-11, Vol.41 (16), p.6272-6287
Main Authors: Samidurai, R., Sriraman, R., Cao, Jinde, Tu, Zhengwen
Format: Article
Language:English
Subjects:
Cybernetics
Inequality
integral inequalities
Integrals
Lyapunov functions
Mathematical analysis
Matrix methods
nonfragile controller
Stabilization
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Summary:In this paper, the problem of nonfragile stabilization for uncertain systems with interval time‐varying delays via new double integral inequality approach is studied. Based on the auxiliary function‐based integral inequality, a new double integral inequality is developed in this literature. Then, to prove the potency of the proposed inequality, some less conservative stability conditions are derived with the help of Lyapunov‐Krasovskii functional and linear matrix inequality technique. Three benchmark illustrative examples are delivered with simulations to validate the effectiveness and advantages of present results.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5137