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Mathematics > Optimization and Control

arXiv:2207.07764 (math)
[Submitted on 15 Jul 2022 (v1), last revised 16 Jun 2023 (this version, v2)]

Title:Yet another stability condition for switched nonlinear systems

Authors:Atreyee Kundu
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Abstract:This paper deals with input/output-to-state stability (IOSS) of continuous-time switched nonlinear systems. Given a family of systems, possibly containing unstable dynamics, and a set of restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems, we identify a class of switching signals that obeys these restrictions and preserves stability of the resulting switched system. The primary apparatus for our analysis is multiple Lyapunov-like functions. Input-to-state stability (ISS) and global asymptotic stability (GAS) of switched systems under pre-specified restrictions on switching signals fall as special cases of our results when no outputs (resp., also inputs) are considered.
Comments: 10 pages, 1 figure
Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)
Cite as: arXiv:2207.07764 [math.OC]
  (or arXiv:2207.07764v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2207.07764

Submission history

From: Atreyee Kundu [view email]
[v1] Fri, 15 Jul 2022 21:37:08 UTC (16 KB)
[v2] Fri, 16 Jun 2023 18:39:43 UTC (50 KB)
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