Mean Square Exponential Stability Analysis for Itô Stochastic Systems With Aperiodic Sampling and Multiple Time-Delays

In this article, for Itô stochastic systems with aperiodic sampling and multiple time-delays, we provide two different types of mean square exponential stability analysis methods. One method is based on the Razumikhin-type theorems method, based on this method, the mean square exponential stability...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 67; no. 5; pp. 2473 - 2480
Main Authors Chen, Guoliang, Fan, Chenchen, Sun, Jian, Xia, Jianwei
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Aperiodic sampling
Control theory
Indium tin oxide
Itô stochastic system
Liapunov functions
Linear matrix inequalities
looped-functional
Mathematical analysis
mean square exponential stability
Mean square values
Numerical stability
Sampled data systems
Sampling
Stability analysis
Stability criteria
Stochastic systems
Symmetric matrices
Theorems
time-delay
Online AccessGet full text

Cover

More Information
Summary:In this article, for Itô stochastic systems with aperiodic sampling and multiple time-delays, we provide two different types of mean square exponential stability analysis methods. One method is based on the Razumikhin-type theorems method, based on this method, the mean square exponential stability criteria of the system are proposed. Meanwhile, mean square exponential practical stability criteria are also proposed. In addition, through these theorems, the constraint of positivity on the Lyapunov function for all times can be relaxed to sampling times for Itô stochastic systems with aperiodic sampling and multiple time-delays is proved. Another method is based on the looped-functionals method. Two looped-functionals are introduced to analyze the stability of Itô stochastic systems with aperiodic sampling and multiple time-delays. One functional is one-sided, while the other functional is two-sided. Based on these two functionals and the Itô formula, two mean square exponential stability criteria are presented in the form of linear matrix inequalities. Numerical examples are used to illustrate that the proposed approach is less conservative than other methods.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3074848