Linear distributed parameter systems: Closed-loop exponential stability with a finite-dimensional controller (Q798605)

The author considers the control system \(v'(t)=Av(t)+Bf(t)\), \(y'(t)=Cv(t)\) where both the input f(t) and the output y(t) take values in finite dimensional spaces; the state v(t) takes values in a Banach space E. The operator A is the infinitesimal generator of a strongly continuous semigroup; B and C are bounded operators. Then the problem at hand is to stabilize the system by means of appropriate feedback.