Generic dimensions of output-nulling invariant and controllability subspaces of structured linear systems

2001 ◽  
Author(s):  
J. W. van der Woude ◽  
C. Commault ◽  
J. M. Dion
Keyword(s):  
Linear Systems ◽  
Controllability Subspaces

scholarly journals Controllability Subspaces of Multi-Aagent Linear Dynamical Systems

2021 ◽  
Vol 20 ◽  
pp. 166-172
Author(s):  
M. I. Garcia-Planas
Keyword(s):  
Dynamical Systems ◽  
Linear Systems ◽  
Multiagent Systems ◽  
Invariant Subspaces ◽  
Communication Channels ◽  
Multi Agent Systems ◽  
Linear Dynamical Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Controllability Subspaces

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.

A COMINRES-QLP Method for Solving Complex Symmetric Linear Systems

2020 ◽  
Vol 140 (12) ◽  
pp. 832-841
Author(s):  
Lijun Liu ◽  
Kazuaki Sekiya ◽  
Masao Ogino ◽  
Koki Masui
Keyword(s):  
Linear Systems ◽  
Complex Symmetric Linear Systems ◽  
Complex Symmetric
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