![]() ![]() One could also have a driven system where x(t) is a known function - such as a steady state sinusoid or a DC step & so on - which persists indefinitely. This would be the case if (say) there was simply some initial energy storage in the system such as a voltage on a capacitor or perhaps an impulse Dirac type input. Since the natural transient terms are decaying exponentials, then at t=infinity these transients would have vanished and the system is "at rest". If the system is not driven by a steady state input, one would expect there to be only the natural transient terms in the response at t=infinity. ![]() I don't know what your point 1 is based upon. So as you proposed in point 2 of your last post (#5) the response does indeed include both forms of the eigenvalues. I would probably firstly answer the question as to what the solution would be if the input is of the form of one of the eigenfunctions. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |