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- Title
Robustness of linear time‐varying systems with relaxed excitation.
- Authors
Efimov, Denis; Barabanov, Nikita; Ortega, Romeo
- Abstract
Summary: It is a well‐known fact that linear time‐varying systems with a persistently excited state matrix are exponentially converging and input‐to‐state stable with respect to additive perturbations. Recently, several relaxed conditions of persistent excitation have been presented, which ensure an asymptotic convergence rate in the system. In the present work, it is shown that these conditions are similar and that, under such a relaxed excitation, only nonuniform in time input‐to‐state stability and integral input‐to‐state stability properties can be obtained. The results are illustrated by simulations for a problem of estimation in the linear regression model.
- Subjects
TIME-varying systems; LINEAR systems; EXCITED states; REGRESSION analysis; DISCRETE-time systems
- Publication
International Journal of Adaptive Control & Signal Processing, 2019, Vol 33, Issue 12, p1885
- ISSN
0890-6327
- Publication type
Article
- DOI
10.1002/acs.2997