Improved Stability Criteria on Linear Systems with Distributed Interval Time-Varying Delays and Nonlinear Perturbations

The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation and delay-decomposition approach. The less conservative stability criteria are obtained for the systems by con...

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Bibliographic Details
Main Authors: Jitsin Piyawatthanachot, Narongsak Yotha, Kanit Mukdasai
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Computation
Subjects:
Online Access:https://www.mdpi.com/2079-3197/9/2/22
Description
Summary:The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation and delay-decomposition approach. The less conservative stability criteria are obtained for the systems by constructing a new augmented Lyapunov–Krasovskii functional and various inequalities, which are presented in terms of linear matrix inequalities (LMIs). Four numerical examples are demonstrated for the results given to illustrate the effectiveness and improvement over other methods.
ISSN:2079-3197