On the Attainable Set for Temple Class Systems with Boundary Controls

Consider the initial-boundary value problem for a strictly hyperbolic, genuinely nonlinear, Temple class system of conservation laws ut + f(u)x = 0, u(0, x) = u(x),    u(t, a) = ũa(t), u(t, b) = ũb(t), (1) on the domain Ω = {(t, x) ∈ R : t ≥ 0, a ≤ x ≤ b}. We study the mixed problem (1) from the point of view of control theory, taking the initial data u… CONTINUE READING