Polynomial stability of positive switching homogeneous systems with different degrees

Yuangong Sun and Yazhou Tian

Applied Mathematics and Computation, 2022, vol. 414, issue C

Abstract: In this article the polynomial stability for positive switching homogeneous systems with different degrees is investigated by proposing a logarithm contraction average dwell-time method. By introducing a class of logarithm contraction average dwell-time switching signals and a piecewise maximum Lyapunov function, we establish an explicit criterion for global polynomial stability of positive switching homogeneous systems whose degrees are greater than one. Especially, the main result is applicable to polynomial stability of Persidskii-type switching systems and consensus of multi-agent systems.

Keywords: Positive switching homogeneous system; Maximum Lyapunov function; Polynomial stability; Logarithm contraction average dwell time (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:414:y:2022:i:c:s0096300321007839

DOI: 10.1016/j.amc.2021.126699

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