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Nonfragile stabilization for uncertain system with interval time‐varying delays via a new double integral inequality
Author(s) -
Samidurai R.,
Sriraman R.,
Cao Jinde,
Tu Zhengwen
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5137
Subject(s) - mathematics , interval (graph theory) , inequality , linear matrix inequality , stability (learning theory) , benchmark (surveying) , multiple integral , lyapunov function , function (biology) , control theory (sociology) , mathematical optimization , mathematical analysis , nonlinear system , computer science , control (management) , physics , geodesy , combinatorics , machine learning , quantum mechanics , evolutionary biology , artificial intelligence , biology , geography
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.