Title
Characterization of Controllability based on Continuity of Closed-loop Eigenvectors: Application to Controller-Driven Sampling Stabilization
Abstract
This paper presents a novel characterization of controllability for linear time-invariant finite-dimensional systems. This characterization relates eigenvalue controllability with the continuity of the map that assigns to each closed-loop eigenvalue the smallest subspace containing the set of corresponding closed-loop eigenvectors. Application of the given characterization is illustrated on a specific case of controllerdriven sampling stabilization, where the sampled system is interpreted as a discrete-time switched system and stability under arbitrary switching is ensured via simultaneous triangularization (Lie-algebraic solvability).
Year
DOI
Venue
2016
10.1109/TAC.2015.2434072
Automatic Control, IEEE Transactions
Keywords
Field
DocType
Eigenvalues and eigenfunctions,Controllability,Switches,Measurement,Linear systems,Standards
Mathematical optimization,Control theory,Technical note,Subspace topology,Linear system,Controllability,Control theory,Sampling (statistics),Mathematics,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
PP
99
0018-9286
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
Haimovich Hernan18113.19
Esteban N. Osella200.34