Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semistability of Nonlinear Systems Having a Continuum of Equilibria and
  Time-Varying Delays   In this report, we develop a semistability analysis framework for nonlinear
systems with bounded 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 nonisolated 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. In proving our results, we extend the limiting differential
equation approach to time-varying delay systems and also develop some new
convergence results for functional differential equations.

22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
16
The categories of this paper are: stat