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

Georgi Dimirovski, Jiqiang Wang, Hong Yue, Jovan Stefanovski

Research output: Contribution to conferencePaper

Abstract

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.

Conference

ConferenceETAI Conference 2018
CountryMacedonia, The Former Yugoslav Republic of
CitySkopje
Period20/09/1822/09/18
Internet address

Fingerprint

Nonlinear systems
Switching systems
Lyapunov functions
System stability

Keywords

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

Cite this

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.
Dimirovski, Georgi ; Wang, Jiqiang ; Yue, Hong ; Stefanovski, Jovan. / Novel characterizations for switched nonlinear systems with average dwell time: further findings. Paper presented at ETAI Conference 2018, Skopje, Macedonia, The Former Yugoslav Republic of.6 p.
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Dimirovski, G, Wang, J, Yue, H & Stefanovski, J 2018, 'Novel characterizations for switched nonlinear systems with average dwell time: further findings' Paper presented at ETAI Conference 2018, Skopje, Macedonia, The Former Yugoslav Republic of, 20/09/18 - 22/09/18, pp. 1-6.

Novel characterizations for switched nonlinear systems with average dwell time: further findings. / Dimirovski, Georgi; Wang, Jiqiang; Yue, Hong; Stefanovski, Jovan.

2018. 1-6 Paper presented at ETAI Conference 2018, Skopje, Macedonia, The Former Yugoslav Republic of.

Research output: Contribution to conferencePaper

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AB - 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.

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Dimirovski G, Wang J, Yue H, Stefanovski J. Novel characterizations for switched nonlinear systems with average dwell time: further findings. 2018. Paper presented at ETAI Conference 2018, Skopje, Macedonia, The Former Yugoslav Republic of.