Скачать или смотреть F. Wirth. Variants of Two-Measure Input-to-State Stability

Talk at the Online Seminar on Input-to-State Stability and its Applications
https://researchseminars.org/seminar/...

Speaker:
Fabian Wirth (University of Passau, Germany)

Title:
Variants of Two-Measure Input-to-State Stability

Abstract:
This talk is based on joint work with Christopher Kellett

This talk concerns finite-dimensional systems described by ordinary differential equations with inputs.
For attracting closed sets that are not compact we consider different formulations of input-to-state stability properties and related Lyapunov criteria. In the compact case, there exists a well-established hierarchy of such properties and some formulations have been quickly discarded as equivalent to input-to-state stability. In the noncompact case, however, several new phenomena appear. In particular, input-to-state stability (ISS) does not imply integral input-to-state stability, and ISS is not equivalent to integral-input-to-integral-state stability. The criteria are formulated in terms of measurement functions, which allows a uniform presentation of a number of related results. Some examples are discussed to show some of the phenomena that may occur.

Date:
Wednesday, 14th June 2023