Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform Input-to-State Stability for Switched and Time-Varying Impulsive
  Systems   We provide a Lyapunov-function-based method for establishing different types
of uniform input-to-state stability (ISS) for time-varying impulsive systems.
The method generalizes to impulsive systems with inputs the well-established
philosophy of assessing the stability of a system by reducing the problem to
that of the stability of a scalar system given by the evolution of the Lyapunov
function on the system trajectories. This reduction is performed in such a way
so that the resulting scalar system has no inputs. Novel sufficient conditions
for ISS are provided, which generalize existing results for time-invariant and
time-varying, switched and nonswitched, impulsive and nonimpulsive systems in
several directions.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio