It is well known, present day theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time. Thus it appears dominantly characterized by some slow sw itching condition with average dwell time satisfying a certain lower bound, which implies a constraint nonetheless. In cases of nonlinear systems there may well appear non-expected comple xity phenomena of particularly different nature when switching becomes no longer. A fast switching condition with average dwell time satisfying an upper bound is explored and established. A comparison analysis of these innovated characterization s via slightly different overview yielded new results on the tran sient behaviour of switched nonlinear systems, while preserving the system stability. The multiple-Lyapunov functions approac h is used in the analysis and switched systems framework is extended shading new light on the underlying, switching caused system complexities.
|Number of pages||6|
|Publication status||Published - 20 Sep 2018|
|Event||ETAI Conference 2018 - Skopje, Macedonia, Skopje, Macedonia, The Former Yugoslav Republic of|
Duration: 20 Sep 2018 → 22 Sep 2018
|Conference||ETAI Conference 2018|
|Country||Macedonia, The Former Yugoslav Republic of|
|Period||20/09/18 → 22/09/18|
- arbitrary switching
- average dwell time
- lower bound condition
- multiple Lyapunov function
Dimirovski, G., Wang, J., Yue, H., & Stefanovski, J. (2018). Novel characterizations for switched nonlinear systems with average dwell time: further findings. 1-6. Paper presented at ETAI Conference 2018, Skopje, Macedonia, The Former Yugoslav Republic of.