Integral-Input-Output to State Stability

Abstract

A notion of detectability for nonlinear systems is discussed. Within the framework of ``input to state stability'' (ISS), a dual notion of ``output to state stability'' (OSS), and a more complete detectability notion, ``input-output to state stability'' (IOSS) have appeared in the literature. This note addresses a variant of the IOSS property, using an integral norm to measure signals, as opposed to the standard supremum norm that appears in ISS theory.

arXiv comment18 pages, no figures

Cited by in corpus (1)

• On an integral variant of incremental input/output-to-state stability and its use as a notion of nonlinear detectability