2 papers
math.OC2014
Extension of Chronological Calculus for Dynamical Systems on Manifolds
Robert J. Kipka, Yuri S. Ledyaev
We propose an extension of the Chronological Calculus, developed by Agrachev and Gamkrelidze for the case of -smooth dynamical systems on finite-dimensional -sm…
math.OC2014
Pontryagin Maximum Principle for Control Systems on Infinite Dimensional Manifolds
Robert J. Kipka, Yuri S. Ledyaev
We discuss a mathematical framework for analysis of optimal control problems on infinite-dimensional manifolds. Such problems arise in study of optimization for partial differentia…