Title
Novel Stability Criteria For Aperiodic Sampled-Data Systems Via A Time-Squared-Dependent Augmented Functional
Abstract
This paper is focusing on the stability analysis of aperiodic sampled-data systems. The augmented Lyapunov functional is powerful to produce a stability criterion with less conservatism owing to the well construction of coupled relationships among time-dependent states. In this paper, a novel augmented Lyapunov functional involving the time-squared-dependent augmented term is presented under the double-side looped-functional technique, which considers coupled relationships more fully than the current ones. Then, an improved negative definiteness lemma based on adjustable parameters is developed, resulting in a less conservative negative definite condition for the derivative of the Lyapunov functional. Finally, a stability criterion is derived based on the Lyapunov functional and the improved lemma, whose effectiveness is illustrated with four numerical examples and one practical example.
Year
DOI
Venue
2021
10.1080/00207721.2020.1863502
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
DocType
Volume
Aperiodic sampled-data system, augmented Lyapunov functional, negative definiteness lemma
Journal
52
Issue
ISSN
Citations 
8
0020-7721
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Zhen-Man Gao100.34
Guo-Ping Liu22555172.49
Yong He33691220.49
Min Wu43582272.55
Rukshan Navaratne500.34