  The closest radio galaxies; Centaurus A, M87 and NGC 1275, have been detected
from radio wavelengths to TeV $\gamma$-rays, and also studied as high-energy
neutrino and ultra-high-energy cosmic ray potential emitters. Their spectral
energy distributions show a double-peak feature, which is explained by
synchrotron self-Compton model. However, TeV $\gamma$-ray measured spectra
could suggest that very-high-energy $\gamma$-rays might have a hadronic origin.
We introduce a lepto-hadronic model to describe the broadband spectral energy
distribution; from radio to sub GeV photons as synchrotron self-Compton
emission and TeV $\gamma$-ray photons as neutral pion decay resulting from
p$\gamma$ interactions occurring close to the core. These photo-hadronic
interactions take place when Fermi-accelerated protons interact with the seed
photons around synchrotron self-Compton peaks. Obtaining a good description of
the TeV $\gamma$-ray fluxes, firstly, we compute neutrino fluxes and events
expected in IceCube detector and secondly, we estimate ultra-high-energy cosmic
ray fluxes and event rate expected in Telescope Array, Pierre Auger and HiRes
observatories. Within this scenario we show that the expected high-energy
neutrinos cannot explain the astrophysical flux observed by IceCube, and the
connection with ultra-high-energy cosmic rays observed by Auger experiment
around Centaurus A, might be possible only considering a heavy nuclei
composition in the observed events.
