Control Theory seminar | Birgit Jacob, Infinite-dimensional input-to-state stability and Orlicz spaces

MC 6460

Speaker

Birgit Jacob
University of Wuppertal

Title

Infinite-dimensional input-to-state stability and Orlicz spaces

Abstract

We study the relation between input-to-state stability and integral input-to-state stability  for linear infinite-dimensional systems with an unbounded control operator.  We show that integral input-to-state stability can be characterized in terms of input-to-state stability with respect to Orlicz spaces. Since we consider linear systems, the results can also be formulated in terms of admissibility. For parabolic diagonal systems with scalar inputs, both stability notions with respect to L∞ are equivalent.