Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hybrid Control Algorithm for Gradient-Free Optimization using
  Conjugate Directions   The problem of steering a particular class of $n$-dimensional continuous-time
dynamical systems towards the minima of a function without gradient information
is considered. We propose an hybrid controller, implementing a discrete-time
Direct Search algorithm based on conjugate directions, able to solve the
optimization problem for the resulting closed loop system in an almost global
sense. Furthermore, we show that Direct Search algorithms based on asymptotic
step size reduction are not robust to measurement noise, and, to achieve
robustness, we propose a modified version by imposing a lower bound on the step
size and able to achieve robust practical convergence to the optimum. In this
context we show a bound relating the supremum norm of the noise signal to the
step size by highlighting a trade-off between asymptotic convergence and
robustness.

13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin