Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchical H2 Control of Large-Scale Network Dynamic Systems   Standard H2 optimal control of networked dynamic systems tend to become
unscalable with network size. Structural constraints can be imposed on the
design to counteract this problem albeit at the risk of making the solution
non-convex. In this paper, we present a special class of structural constraints
such that the H2 design satisfies a quadratic invariance condition, and
therefore can be reformulated as a convex problem. This special class consists
of structured and weighted projections of the input and output spaces. The
choice of these projections can be optimized to match the closed-loop
performance of the reformulated controller with that of the standard H2
controller. The advantage is that unlike the latter, the reformulated
controller results in a hierarchical implementation which requires
significantly lesser number of communication links, while also admitting model
and controller reduction that helps the design to scale computationally. We
illustrate our design with simulations of a 500-node network.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph