Robust stabilization of singular-impulsive-delayed systems with nonlinear perturbations
Author(s)
Author(s)
Guan, Z.-H.
Chan, C. W.
Chen, G.
Date Issued
2001
Publisher
IEEE
Journal
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume
48
Issue
8
Start page
1011
End page
1019
Abstract
Many dynamic systems in physics, chemistry, biology, engineering, and information science have impulsive dynamical behaviors due to abrupt jumps at certain instants during the dynamical process, and these complex dynamic behaviors can be modeled by singular impulsive differential systems. This paper formulates and studies a model for singular impulsive delayed systems with uncertainty from nonlinear perturbations. Several fundamental issues such as global exponential robust stabilization of such systems are established. A simple approach to the design of a robust impulsive controller is then presented. A numerical example is given for illustration of the theoretical results. Meanwhile, some new results and refined properties associated with the M-matrices and time-delay dynamic systems are derived and discussed.
SFU Affiliated Publication
No
Availability at SFU Library
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