Journal article
Relationships between Subclasses of Integral Input-to-State Stability
CM Kellett, PM Dower, H Ito
IEEE Transactions on Automatic Control | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2017
Abstract
A certain "qualitative equivalence" has been recently demonstrated between integral input-to-state stability (iISS) and a nonlinear L2-gain property. Furthermore, it has been observed that the properties of strong iISS and nonlinear L2-gain are preserved when multiple systems satisfying the respective property are connected in cascade. This technical note clarifies the relationships between various input-to-state stability and (non)linear Lp-gain properties.
Grants
Awarded by Air Force Office of Scientific Research
Funding Acknowledgements
This work was supported by ARC Future Fellowship FT1101000746, the Alexander von Humboldt Foundation, AFOSR Grant FA2386-12-1-4084, and ARC Discovery Project 120101549. Recommended by Associate Editor N. Kazantzis.