In' b.p lathi's book of systems and signal it is written that
"marginally stable systems have one important application in the oscillator, which is a system that generates a signal on its own without the application of an external input. Consequently the oscillator output is a zero input response "
By this statement I have two problem:
if let's say oscillator system is a simple L-C circuit then how can it produce output without input and if it does produce then isn't it a violation of linearity?
and if initial conditions are zero then how can L-C circuits have zero input response? And then in that case how does it generates signal without initial conditions?