Open AccessControllability Subspaces of Multi-Aagent Linear Dynamical Systems
Author(s) -
M. Isabel Garcı́a-Planas
Publication year - 2021
Publication title -
wseas transactions on circuits and systems/wseas transactions on circuits
Language(s) - English
Resource type - Journals
eISSN - 2224-266X
pISSN - 1109-2734
DOI - 10.37394/23201.2021.20.20
Subject(s) - controllability , linear subspace , class (philosophy) , network controllability , multi agent system , computer science , linear system , dynamical systems theory , invariant (physics) , mathematics , theoretical computer science , pure mathematics , artificial intelligence , combinatorics , mathematical analysis , physics , betweenness centrality , quantum mechanics , centrality , mathematical physics
This work addresses the controllability subspaces of a class of multi-agent linear systems that are interconnected via communication channels. Multiagent systems have attracted much attention because they have great applicability in multiple areas. Recently has taken an interest to analyze the control properties as consensus controllability of multi-agent dynamical systems motivated by the fact that the architecture of communication network in engineering multi-agent systems is usually adjustable. In this paper, the concept of invariant subspaces and controllability subspaces is reviewed and generalized to multi-agent systems. Finally, the consensus controllability subspaces are analyzed in the case of multiagent linear systems having all agents the same dynamics described as xi = Aixi + Biui, i = 0, 1, . . . , k.