Impulsive Stabilization of Linear Delay Differential Equations

Details Impulsive Stabilization of Linear Delay Differential Equations Impulsive Stabilization of Linear Delay Differential Equations

1995-02-21

arxiv.org/abs/funct-an/9502005v1

Mathematics

Dynamical Systems

18 pages, LaTeX, no figures

Scientific paper

The paper is concerned with stabilization of a scalar delay differention equation $$ {\dot x}(t) - \sum_{k=1}^m A_k(t)x[h_k(t)] = 0,~t\geq 0,~ x(\xi)=\varphi (\xi), \xi <0, $$ by introducing impulses in certain moments of time $$ x(\tau_j) = B_j x(\tau_j -0), ~j=1,2, \dots ~. $$ Explicit stability results are presented both for the equation with positive coefficients and for the equation with $A_k$ being of arbitrary sign.

Affiliated with

Also associated with

No associations

Rating

Impulsive Stabilization of Linear Delay Differential Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Impulsive Stabilization of Linear Delay Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Impulsive Stabilization of Linear Delay Differential Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261183