Integral-Input-Output to State Stability

Details Integral-Input-Output to State Stability Integral-Input-Output to State Stability

2001-06-15

arxiv.org/abs/math/0106138v1

Mathematics

Optimization and Control

18 pages, no figures

Scientific paper

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.

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