Display Abstract

Title Invertibility of nonsmooth maps arising in optimal control

Name Laura Poggiolini
Country Italy
Email laura.poggiolini@unifi.it
Co-Author(s) Marco Spadini
Submit Time 2014-02-26 03:45:13
Session
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.