Global Controllability and Bang-Bang Steering of Certain Nonlinear Systems
Gunnar Aronsson · SIAM Journal on Control · 1973
Controllability is proved for certain nonlinear systems obtained by perturbing controllable linear systems. A simple covering lemma which treats the change of the reachable set caused by the nonlinear term is essential for Theorems 1–3. If instead a “bang-bang covering lemma” is used, we obtain theorems on “bang-bang controllability” (Theorems 4–7).