1 citations · 1 across the 3 of their papers we have counts for
4 papers
The Discrete-Time Geometric Maximum Principle
Robert Kipka, Rohit Gupta
We establish a variety of results extending the well-known Pontryagin maximum principle of optimal control to discrete-time optimal control problems posed on smooth manifolds. Thes…
Linear Openness and Feedback Stabilization of Nonlinear Control Systems
Rohit Gupta, Farhad Jafari, Robert J. Kipka +1
It is well known from the seminal Brockett's theorem that the openness property of the mapping on the right-hand side of a given nonlinear ODE control system is a necessary conditi…
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…
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…