Reference
D. Yue, S. Baldi, J. Cao, Q. Li, and B. De Schutter, "A directed spanning tree
adaptive control solution to time-varying formations,"
IEEE
Transactions on Control of Network Systems, vol. 8, no. 2, pp. 690-701,
June 2021.
Abstract
In this paper, the time-varying formation and time-varying formation tracking
problems are solved for linear multi-agent systems over digraphs without the
knowledge of the eigenvalues of the Laplacian matrix associated to the digraph.
The solution to these problems relies on an approach that generalizes the
directed spanning tree adaptive method, which was originally limited to
consensus problems. Necessary and sufficient conditions for the existence of
solutions to the formation problems are derived. Asymptotic convergence of the
formation errors is proved via graph theory and Lyapunov analysis.
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BibTeX
@article{YueBal:21-001,
author = {Yue, Dongdong and Baldi, Simone and Cao, Jinde and Li, Qi and De
Schutter, Bart},
title = {A Directed Spanning Tree Adaptive Control Solution to
Time-Varying Formations},
journal = {IEEE Transactions on Control of Network Systems},
volume = {8},
number = {2},
pages = {690--701},
month = jun,
year = {2021}
}