Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Gradient Descent Convergence Dynamics for Adaptive Control
  on Heterogeneous Networks   Adaptive control is a classical control method for complex cyber-physical
systems, including transportation networks. In this work, we analyze the
convergence properties of such methods on exemplar graphs, both theoretically
and numerically. We first illustrate a limitation of the standard backpressure
algorithm for scheduling optimization, and prove that a re-scaling of the model
state can lead to an improvement in the overall system optimality by a factor
of at most $\mathcal{O}(k)$ depending on the network parameters, where $k$
characterizes the network heterogeneity. We exhaustively describe the
associated transient and steady-state regimes, and derive convergence
properties within this generalized class of backpressure algorithms. Extensive
simulations are conducted on both a synthetic network and on a more realistic
large-scale network modeled on the Manhattan grid on which theoretical results
are verified.

37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga