首页|Polynomial stability of positive switching homogeneous systems with different degrees

Polynomial stability of positive switching homogeneous systems with different degrees

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  • NSTL
  • Elsevier
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. (C) 2021 Elsevier Inc. All rights reserved.

Positive switching homogeneous systemMaximum Lyapunov functionPolynomial stabilityLogarithm contraction average dwell timeLINEAR-SYSTEMSEXPONENTIAL STABILITYLYAPUNOV FUNCTIONSNONLINEAR-SYSTEMSDWELL-TIMESTABILIZATIONL-1-GAIN

Sun, Yuangong、Tian, Yazhou

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Jinan Univ

2022

10.1016/j.amc.2021.126699

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN：0096-3003
年,卷(期)：2022.414
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