Display Abstract

Title On Nonsmooth Maximum Principles for problems with state and mixed constraints

Name Maria do Rosario de Pinho
Country Portugal
Email mrpinho@fe.up.pt
Co-Author(s) Md. Haider Ali Biswas
Submit Time 2013-11-07 05:09:38
Session
Special Session 16: Optimal control and its applications
Contents
Here we discuss a variant of the nonsmooth maximum principle for optimal control problems with both pure state and mixed state and control constraints. Such result includes a Weierstrass condition together with an Euler adjoint inclusion involving the joint subdifferentials with respect to both state and control, generalizing previous results. This is accomplished with the help of well known penalization techniques for state constrained problem together with an appeal to a recent nonsmooth maximum principle for problems with mixed constraints.An important feature of our result is the bounded slope condition. Of particular interest is our discussion on the applicability of the main results done with some examples.