In this paper we introduce a new method to design control laws for non-linear un-deractuated systems. Our method will often work in situations where standard control techniques fail. Even when standard techniques apply, we believe that our approach will achieve better performance. This is because we produce an infinite dimensional family of control laws, whereas most control techniques only pro...

The paper considers parametric optimal control problems with bang–bang control vector function. For this problem we give regularity and second–order optimality conditions at the nominal solution which are sufficient to: (i) existence and local uniqueness of extremals, (ii) local structure stability, (iii) strong local optimality, under parameter perturbations. Here “local” means in a L∞– neighb...