Title
On Robustness Against Disturbances Of Passive Systems With Multiple Invariant Sets
Abstract
Robustness of stability with respect to external perturbations is an important property characterising the ability of the dynamics to counteract the influence of uncertainties. In the present paper, such a property is investigated for the class of passive and strictly passive systems, which have several invariant compact and globally attracting subsets in the unforced scenario. It is assumed that the storage and supply rate functions are sign-definite with respect to these sets. The results are obtained within the framework of input-to-state stability and integral input-to-state stability for multistable systems. The robustness conditions are obtained for open-loop and for closed-loop cases, i.e. when an output feedback is required to guarantee robustness. Two applications (related to the model of multispecies populations) of the proposed theory are used to illustrate its efficiency.
Year
DOI
Venue
2021
10.1080/00207179.2020.1750709
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Passive systems, Lyapunov methods, multistability, robust stability, input-to-state stability, integral input-to-state stability
Journal
94
Issue
ISSN
Citations 
11
0020-7179
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
N. F. Barroso100.34
R. Ushirobira200.34
Denis V. Efimov369693.92
Alexander L. Fradkov445078.94