Paper Info
Title
On Maximum Sector Bounds For Absolute Stability Of Single-Input Single-Output Systems
Abstract
We consider the classical problem of absolute stability, i.e. stability of a linear time-invariant system in feedback with a memoryless time-varying sector bound non-linearity. We derive necessary and sufficient conditions for the existence of periodic motion. For the special case of symmetric sector bounds, this condition yields the minimum sector bounds for which the system can sustain periodic motion. By guaranteeing the absence of periodic motion we derive non-conservative sufficient conditions for absolute stability for arbitrary sector bounds. We demonstrate by numerical examples the application of our results.
Year
DOI
Venue
2007
10.1080/00207170601123799
INTERNATIONAL JOURNAL OF CONTROL
Field
DocType
Volume
Periodic function,LTI system theory,Linear stability,Control theory,Absolute stability,Periodic system,Mathematics,Special case
Journal
80
Issue
ISSN
Citations 
6
0020-7179
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Kai Wulff134021.94
Robert N. Shorten21378.51