| This dissertation investigates the optimal transfer of a system output from an initial value y(ti) = y to a final value y(t f) = y performed in a transition time interval [ti, tf]. If the boundary conditions (initial state x(t i) = x and final state x(tf) = x) are known, then this problem has a standard solution referred as the state-to-state transition problem (see, e.g., [1]). However, in many applications, the boundary states at the initiation, t = ti, and completion, t = tf, of the output-transition are not specified; only the output at these instants are known and not the states. The minimum input-energy output-transition problem is posed and solved in this dissertation. |
