Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arbitrary Order Fixed-Time Differentiators   Differentiation is an important task in control, observation and fault
detection. Levant's differentiator is unique, since it is able to estimate
exactly and robustly the derivatives of a signal with a bounded high-order
derivative. However, the convergence time, although finite, grows unboundedly
with the norm of the initial differentiation error, making it uncertain when
the estimated derivative is exact. In this paper we propose an extension of
Levant's differentiator so that the worst case convergence time can be
arbitrarily assigned independently of the initial condition, i.e. the
estimation converges in \emph{Fixed-Time}. We propose also a family of
continuous differentiators and provide a unified Lyapunov framework for
analysis and design.

7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
14
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
15
The categories of this paper are: nucl-ex