H-infinity norm computation of multi-agent dynamical systems

Nguyễn Đình Hòa, Nguyễn Doãn Phước


In this paper, we propose a new method to computing the H_infinity norm of multi-agent dynamical systems(MADSs). Employing the generalized frequency variable (GFVs) framework, a class of MADSs can be represented by linear systems with GFVs. Then, an efficient method for H_infinity  norm computation is proposed for MADSs whose communication topologies are diagonalizable. The calculation is derived in terms of an LMI problem which can be easily solved by off-the-shelf optimization solvers. Moreover, some numerical examples are introduced to demonstrate the efficiency of the proposed method.


Multi-agent systems, H-infinity norm, convex optimization, LMI

DOI: https://doi.org/10.15625/1813-9663/29/3/2559

Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology