Collision and Capture

Absrtact

Objective properties Q related to various ways of crossing a target are classical but still basic, at least for systems which are already stabilized. Ever since its inception about 1960 when the first work appeared (see Kalman-Bertram [1], Kalman [1]), the notion of controllability has been connected with reaching a target. Initially, the problem was posed in a rather simplified and applicationally rigid form of attempting a transfer between two given states ${\bar x^0}$ and $\bar x\left( {{t_f}} \right) \in \Delta$ ∈ Δ under specified control.