Paper Info
Title
Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function.
Abstract
In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous (time-variant) systems. Two numerical examples are given to illustrate the theoretical results obtained in this paper.
Year
DOI
Venue
2018
10.14736/kyb-2018-4-0664
KYBERNETIKA
Keywords
Field
DocType
matrix Lyapunov systems,controllability,impulsive differential systems,delays
Lyapunov function,Differential systems,Controllability,Control function,Matrix (mathematics),Control theory,Mathematics
Journal
Volume
Issue
ISSN
54
4
0023-5954
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Vijayakumar S. Muni100.68
R.K. George2103.45