Event Title:

" Optimal Control, Differential Games  and Quasivariational  Inequalities                                          

 

Speaker:

Dharmatti  Sheetal, Research  Scholar

    .

Affiliation:

    Department  of  Mathematics,  IISc.,  Bangalore

Abstract/Brief Description:

.  We  study  value  functions  of  a  class  of  optimal  control

and  differential  game  problems   which  satisfy  certain

quasivariational  inequalities.  In  particular  we  study   an  impulse

control problem and   hybrid control problem.   In  the  game

theoretic   setup  we  study  the  two  person  zero  sum

differential game having hybrid   controls.   We  study  the

smoothness properties  of  the  value  functions  associated  with

above problems.   We  characterize value  functions  as  the

unique solution of corresponding   quasivariational inequalities.

The   uniqueness proof uses the theory of viscosity    solution.

Subject Area:

Mathematics

Date:

Friday, September 17, 2004

Time:

4:00pm

Venue:

Lecture Hall I, Mathematics Department, IISC., Bangalore-12