Special Session 67: Topological methods for the qualitative analysis of differential equations and inclusions
Contents
We consider second order sufficient conditions for state-local optimality of a Pontryagin extremal in the minimum time problem. When the extremal control being considere is bang-bang with simultaneous switches, non trivial problems appear in the invertibility of the projected maximised Hamiltonian flow.
Such problems are solved by non smooth analysis and degree theory.