Stability analysis for switched systems with ISS and unstable time-delayed subsystems

Zhong-Ping Jiang, Yuandan Lin, Yuan Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this work we consider the input-to-state stability property for a switched system containing both delayed input-to-state stable subsystems and delayed unstable (but forward complete) subsystems. Our main approach is based on the Lyapunov-Razumikhin functions. By using the notion of average dwell time, it is demonstrated that for a system switching among subsystems that admit comparable Lyapunov-Razumikhin type of functions, if a switching signal is not switching too fast and if the activation time of unstable subsystems is not too long, then the resulted switched system is ISS.

Original languageEnglish (US)
Title of host publicationProceedings of the 28th Chinese Control and Decision Conference, CCDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages905-909
Number of pages5
ISBN (Electronic)9781467397148
DOIs
StatePublished - Aug 3 2016
Event28th Chinese Control and Decision Conference, CCDC 2016 - Yinchuan, China
Duration: May 28 2016May 30 2016

Other

Other28th Chinese Control and Decision Conference, CCDC 2016
CountryChina
CityYinchuan
Period5/28/165/30/16

Fingerprint

Switched Systems
Stability Analysis
Subsystem
Unstable
Switching systems
Lyapunov functions
Lyapunov
Chemical activation
Average Dwell Time
Switching Systems
Activation
Stability analysis

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Statistics, Probability and Uncertainty
  • Artificial Intelligence
  • Decision Sciences (miscellaneous)

Cite this

Jiang, Z-P., Lin, Y., & Wang, Y. (2016). Stability analysis for switched systems with ISS and unstable time-delayed subsystems. In Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016 (pp. 905-909). [7531112] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2016.7531112

Stability analysis for switched systems with ISS and unstable time-delayed subsystems. / Jiang, Zhong-Ping; Lin, Yuandan; Wang, Yuan.

Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 905-909 7531112.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Jiang, Z-P, Lin, Y & Wang, Y 2016, Stability analysis for switched systems with ISS and unstable time-delayed subsystems. in Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016., 7531112, Institute of Electrical and Electronics Engineers Inc., pp. 905-909, 28th Chinese Control and Decision Conference, CCDC 2016, Yinchuan, China, 5/28/16. https://doi.org/10.1109/CCDC.2016.7531112
Jiang Z-P, Lin Y, Wang Y. Stability analysis for switched systems with ISS and unstable time-delayed subsystems. In Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 905-909. 7531112 https://doi.org/10.1109/CCDC.2016.7531112
Jiang, Zhong-Ping ; Lin, Yuandan ; Wang, Yuan. / Stability analysis for switched systems with ISS and unstable time-delayed subsystems. Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 905-909
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