Paper Info
Title
Exponential Stability of Switched Positive Homogeneous Systems.
Abstract
This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields. In order to capture the decay rate of such systems, we first consider the subsystems. A sufficient condition for exponential stability of subsystems with time-varying delays is derived. In particular, for the corresponding delay-free systems, we prove that this sufficient condition is also necessary. Then, we present a sufficient condition of exponential stability under minimum dwell time switching for the switched positive nonlinear systems. Some results in the previous literature are extended. Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.
Year
DOI
Venue
2017
10.1155/2017/4326028
COMPLEXITY
Field
DocType
Volume
Dwell time,Nonlinear system,Exponential error,Homogeneous,Vector field,Control theory,Exponential stability,Mathematics
Journal
2017
ISSN
Citations 
PageRank 
1076-2787
2
0.36
References 
Authors
14
2
Name
Order
Citations
PageRank
Dadong Tian120.36
Shutang Liu25111.49