The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system

Abstract The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix eigenvalue. Using this relation, we conve...

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Bibliographic Details
Main Authors: Jianzhou Liu, Juan Zhang, Hao Huang
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2119-2