Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Game-Theoretic Mixed $H_2/H_{\infty}$ Control with Sparsity Constraint
  for Multi-agent Networked Control Systems   Multi-agent networked control systems (NCSs) are often subject to model
uncertainty and are limited by large communication cost, associated with
feedback of data between the system nodes. To provide robustness against model
uncertainty and to reduce the communication cost, this paper investigates the
mixed $H_2/H_{\infty}$ control problem for NCS under the sparsity constraint.
First, proximal alternating linearized minimization (PALM) is employed to solve
the centralized social optimization where the agents have the same optimization
objective. Next, we investigate a sparsity-constrained noncooperative game,
which accommodates different control-performance criteria of different agents,
and propose a best-response dynamics algorithm based on PALM that converges to
an approximate Generalized Nash Equilibrium (GNE) of this game. A special case
of this game, where the agents have the same $H_2$ objective, produces a
partially-distributed social optimization solution. We validate the proposed
algorithms using a network with unstable node dynamics and demonstrate the
superiority of the proposed PALM-based method to a previously investigated
sparsity-constrained mixed $H_2/H_{\infty}$ controller.

35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph