Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impulse response of bilinear systems based on Volterra series
  representation   This paper focuses on the systems theory of bilinear dynamical systems using
the Volterra series representation. The main contributions are threefold.
First, we gain an input-output representation in the frequency domain, where
the Laplace transform of the kernels can indeed be interpreted as transfer
functions. Then, we derive the response of bilinear systems to a nascent delta
function in time domain, i.e. the impulse response of bilinear systems.
Finally, we study the relationships between this novel impulse response and the
well-known Volterra kernels and adjust those to be compatible to the impulse
response.

8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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
0
The categories of this paper are: hep-ph