Under suitable conditions we prove the wellposedness of small time-varied delay equations and then establish the robust stability for such systems on the phase space of continuous vector-valued functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm163-3-5, author = {Miao Li and Xiao-Hui Gu and Fa-Lun Huang}, title = {Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces}, journal = {Studia Mathematica}, volume = {162}, year = {2004}, pages = {289-305}, zbl = {1069.34118}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm163-3-5} }
Miao Li; Xiao-Hui Gu; Fa-Lun Huang. Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces. Studia Mathematica, Tome 162 (2004) pp. 289-305. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm163-3-5/