Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dwell-time conditions for robust stability of impulsive systems   We prove that impulsive systems, which possess an ISS Lyapunov function, are
ISS for impulse time sequences, which satisfy the fixed dwell-time condition.
If the ISS Lyapunov function is the exponential one, we provide stronger
result, which guarantees uniform ISS of the whole system over sequences of
impulse times, which satisfy the generalized average dwell-time condition.

12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph