Some new results on the consensus of coupled harmonic oscillators with impulsive control. (English) Zbl 07769337
Summary: We consider the consensus of coupled harmonic oscillators with impulsive control via sampled position data in this article. Leader-following consensus problem and leaderless consensus problem are investigated by unified analysis. Using joint spectral radius of the set of matrix, the consensus problem is solved without the assumption that the sampling interval is fixed. Some sufficient conditions which are valid for both cases of periodic and aperiodic sampled data control are obtained under a directed network topology. At last, some simulations are provided to support the theoretical analysis.
{© 2021 John Wiley & Sons Ltd.}
{© 2021 John Wiley & Sons Ltd.}
MSC:
| 93-XX | Systems theory; control |
Keywords:
consensus; coupled harmonic oscillators; impulsive control; joint spectral radius; sampled position dataReferences:
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