Year: 2020
Type: preprint
Abstract: The present work provides two alternatives to formulate time-discounted incremental input/output-to-state stability (i-IOSS) as a suitable detectability notion for general nonlinear systems with non-additive disturbances. Both formulations are related to existing i-IOSS notions which result as special cases. Previous results that provide a sufficient Lyapunov-function condition for i-IOSS and that prove i-IOSS to be necessary for the existence of robustly stable full-order state observers are generalized to the presented time-discounted i-IOSS definition for general nonlinear systems. For linear systems, explicit i-IOSS bounds are presented.
Source: arXiv (Cornell University)
Authors: Knuefer, Sven, Mueller, Matthias A.
Institution: Leibniz University Hannover
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3021336026