Title
Static output feedback of equivariant linear systems with applications to the control of interconnected agents
Abstract
We focus on controlled linear systems which are invariant with respect to a set of linear transformations associated to a general multiplicative finite group G. We investigate their control theoretical properties of stability, stabilizability, detectability and output feedback stabilizability. We apply the obtained results to systems obtained by the interconnection of identical subsystems, exploiting their invariance with respect to the group of the automorphisms of the connection graph.
Year
DOI
Venue
2014
10.1109/CDC.2014.7040009
Decision and Control
Keywords
Field
DocType
feedback,graph theory,interconnected systems,invariance,linear systems,stability,connection graph,control theoretical properties,controlled linear systems,detectability,equivariant linear systems,identical subsystem interconnection,invariance,linear transformations,multiplicative finite group,output feedback stabilizability,stability,static output feedback
Equivariant map,Linear system,Invariant (physics),Multiplicative function,Computer science,Nonlinear control,Control theory,Linear map,Invariant (mathematics),Finite group
Conference
ISSN
Citations 
PageRank 
0743-1546
1
0.41
References 
Authors
4
2
Name
Order
Citations
PageRank
Luca Consolini127631.16
Mario Tosques220516.95