Novel characterizations for switched nonlinear systems with average dwell time: further findings

Georgi Dimirovski, Jiqiang Wang, Hong Yue, Jovan Stefanovski

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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.
Original languageEnglish
Number of pages6
Publication statusPublished - 20 Sep 2018
EventETAI Conference 2018 - Skopje, Macedonia, Skopje, Macedonia, The Former Yugoslav Republic of
Duration: 20 Sep 201822 Sep 2018


ConferenceETAI Conference 2018
Country/TerritoryMacedonia, The Former Yugoslav Republic of
Internet address


  • arbitrary switching
  • average dwell time
  • lower bound condition
  • multiple Lyapunov function

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