Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems

The Gronwall inequalities are of significance in mathematics and engineering. This paper generalizes the Gronwall-like inequalities from different perspectives. Using the proposed inequalities, the difficulties to discuss the controllability of integrodifferential systems of mixed type can be solved...

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Bibliographic Details
Main Authors: Haiyong Qin, Xin Zuo, Jianwei Liu
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2016/9527680
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Summary:The Gronwall inequalities are of significance in mathematics and engineering. This paper generalizes the Gronwall-like inequalities from different perspectives. Using the proposed inequalities, the difficulties to discuss the controllability of integrodifferential systems of mixed type can be solved. Meanwhile, two examples as their applications are also given to show the effectiveness of our main results.
ISSN:1687-5249
1687-5257