Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Uniform Stability, Detectability, and, Sliding Mode Observer Design
  for Time Varying Systems with Unknown Inputs   This paper discusses stability and robustness properties of a recently
proposed observer algorithm for linear time varying systems. The observer is
based on the approximation and subsequent modification of the non-negative
Lyapunov exponents which yields a (non-uniform) exponentially stable error
system. Theoretical insights in the construction of the observer are given and
the error system is analyzed with respect to bounded unknown inputs. Therefor,
new conditions for bounded input bounded state stability for linear time
varying systems are presented. It is shown that for a specific class of linear
time varying systems, a cascaded observer based on higher order sliding mode
differentiators can be designed to achieve finite time exact reconstruction of
the system states despite the unknown input. A numerical simulation example
shows the applicability of the proposed approach.

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph