Sufficiency of the Pontryagin Maximum Principle for L1 Minimizers and Affine Control Systems

Abstract

This paper follows a previous work where a re ned maximum princi- ple condition is introduced to guarantee L1 local optimality of control processes for affine control systems with a polyhedral set of controls. Here we consider a different strengthened maximum principle condition that allows to extend the class of control processes and obtain sufficient conditions for a local minimizer in L1 sense.