Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connectivity of the Feasible and Sublevel Sets of Dynamic Output
  Feedback Control with Robustness Constraints   This paper considers the optimization landscape of linear dynamic output
feedback control with $\mathcal{H}_\infty$ robustness constraints. We consider
the feasible set of all the stabilizing full-order dynamical controllers that
satisfy an additional $\mathcal{H}_\infty$ robustness constraint. We show that
this $\mathcal{H}_\infty$-constrained set has at most two path-connected
components that are diffeomorphic under a mapping defined by a similarity
transformation. Our proof technique utilizes a classical change of variables in
$\mathcal{H}_\infty$ control to establish a subjective mapping from a set with
a convex projection to the $\mathcal{H}_\infty$-constrained set. This proof
idea can also be used to establish the same topological properties of strict
sublevel sets of linear quadratic Gaussian (LQG) control and optimal
$\mathcal{H}_\infty$ control. Our results bring positive news for
gradient-based policy search on robust control problems.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph