Stability and stabilization analysis of nonlinear time-delay systems with randomly occurring controller gain fluctuation

The problem of stability and stabilization analysis for a class of delayed nonlinear systems is studied in this manuscript. The nonlinear function is forever presumed to comply with the Lipschitz condition in the real domain. Furthermore, non-fragile controller algorithm is designed with randomly oc...

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Bibliographic Details
Published inMathematics and computers in simulation Vol. 171; pp. 36 - 51
Main Authors Cao, Yang, Sriraman, R., Samidurai, R.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2020
Subjects
Lipschitz condition
Lyapunov function
Nonlinear systems
Stability
Stabilization
Lipschitz condition
Stability
Stabilization
Nonlinear systems
Lyapunov function
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Summary:The problem of stability and stabilization analysis for a class of delayed nonlinear systems is studied in this manuscript. The nonlinear function is forever presumed to comply with the Lipschitz condition in the real domain. Furthermore, non-fragile controller algorithm is designed with randomly occurring controller gain fluctuation (ROCGF). By handling the Lyapunov function approach and the integral inequality technique, LMI-based sufficient criteria are determined. Three numerical packages were supplied to demonstrate the efficiency of the derived results.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2019.03.002