Paper Info
Title
A Novel Condition For Fixed-Time Stability And Its Application In Controller Design For Robust Fixed-Time Chaos Stabilization Against Holder Continuous Uncertainties
Abstract
This paper presents a new nonlinear state-feedback controller design for robust fixed-time chaos stabilization of chaotic systems in the presence of a relatively large class of uncertainties known as Holder continuous uncertainties. Based on Lyapunov's second method, a novel sufficient condition for fixed-time stability is derived. The spectacular property of the proposed controller is that the upper bound of the convergence time exists as an explicit parameter in the control's law, thus the true fixed stabilization time can be set in advance. To show the effectiveness of the proposed controller, two scenarios are provided, and the simulation results are reported.
Year
DOI
Venue
2021
10.1007/s00500-020-05415-4
SOFT COMPUTING
Keywords
DocType
Volume
Fixed-time stability, Fixed stabilization time, Chaos stabilization, H&#246, lder continuous uncertainties
Journal
25
Issue
ISSN
Citations 
5
1432-7643
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Alireza Khanzadeh100.34
Mahdi Pourgholi2123.64
Elham Amini Boroujeni3141.75