Four rendezvous problems for n identical simple-integral plants (K/s)—with a common input x(t) = Amtmu(t) (m = 0, 1, 2,[tdot]), and output initial conditions yt(0) = ξt (l = 1,2,[tdot],n)—will be studied in this paper: (a) making yt(Tfi) = ω, where Tfi is a fixed rendezvous time and ω an unspecified rendezvous place; (b) making yt (Tfi) = Ω, where, respectively, Tfi and Ω are the fixed rendezvous time and rendezvous place; (c) making yt(Tfr) = Γ(Tfr), where Tfr is a free, or unspecified, rendezvous time and Γ(t) = a0+ a1t a non-stationary rendezvous place (a0 and a1 having fixed values); and (d) making yt (Tfi) = Γ(Tfi), where Tfi is the fixed rendezvous time and Γ(t) = a0 + a 1t the non-stationary rendezvous place. Numerous examples will, as we proceed, most vividly translate the theoretical results obtained.