Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays

Details Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays

2010-01-12

arxiv.org/abs/1001.2019v1

Mathematics

Optimization and Control

15 pages

Scientific paper

In this paper, we develop a semistability analysis framework for nonlinear systems with time-varying delays with applications to stability analysis of multiagent dynamic networks with consensus protocols in the presence of unknown heterogeneous time-varying delays along the communication links. We show that for such a nonlinear system having a continuum of equilibria, if the system asymptotically converges to a constant time-delay system and this new system is semistable, then the original time-varying delay system is semistable, provided that the delays are just bounded, not necessarily differentiable. In proving our results, we extend the limiting equation approach to the time-varying delay systems and also develop some new convergence results for functional differential equations.

Affiliated with

Also associated with

No associations

Rating

Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays 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 Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-524002