Controllability for a Class of Linear Time-Varying Impulsive Systems With Time Delay in Control Input

In this note, the controllability for a class of linear time varying impulsive systems with time delay in control input is studied. Sufficient and necessary conditions for the controllability of such systems are established. Specializing the obtained results to the cases of linear time-varying impul...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2011-02, Vol.56 (2), p.395-399
Main Authors: Liu, Yang, Zhao, Shouwei
Format: Article
Language:English
Subjects:
Applied sciences
Coefficient matrices
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Controllability
Criteria
Delay
Delay effects
Delta modulation
Exact sciences and technology
impulsive systems
Invariants
Mathematical analysis
Matrices
Observability
Stability
System theory
Time delay
Time varying systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note, the controllability for a class of linear time varying impulsive systems with time delay in control input is studied. Sufficient and necessary conditions for the controllability of such systems are established. Specializing the obtained results to the cases of linear time-varying impulsive systems and linear time invariant impulsive systems with time delay, some simple criteria with respect to coefficient matrices, which are less conservative than some existing results are derived. It is also shown that the time delay in control input contributes to achieve the controllability of impulsive system even if the system is not controllable. Two examples are worked out to illustrate our results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2010.2088811