2 citations · 2 across the 8 of their papers we have counts for
8 papers
Optimal control problems with free right end point
Nico Tauchnitz
This paper is dedicated to the elementary proof of Pontryagin's maximum principle for problems with free right end point. The proof for the standard problem is taken from the monog…
Notes on Spaces of Functions Converging at Infinity
Nico Tauchnitz
This preprint concerns Banach spaces of functions converging at infinity. In particular, spaces of continuous functions, Lebesgue spaces and sequence spaces. In each framework we s…
Pontryagin's Maximum Principle for Infinite Horizon Optimal Control Problems with Bounded Processes and with State Constraints
Nico Tauchnitz
This paper concerns a class of infinite horizon optimal control problems with state constraints. By extending the needle variation method to the infinite horizon case we obtain a c…
On Optimality Conditions in Control Theory
Nico Tauchnitz
We study optimality conditions for various types of control problems like the standard optimal control problem, optimal multiprocesses, problems with infinite horizon or the contro…
Optimality Conditions for Weak and Strong Local Extrema in Infinite Horizon Optimal Control Problems
Nico Tauchnitz
In this paper we summarize our results in infinite horizon optimal control. We present optimality conditions for weak local minimizer in the framework of weighted functions. Moreov…
The Pontryagin Maximum Principle for Optimal Multiprocesses with Continuous States
Nico Tauchnitz
In this paper we give a new approach to introduce switching strategies in a special class of optimal multiprocesses. Defined as the set of partitions of the time interval, switchin…
Weak Local Extrema in Infinite Horizon Optimal Control Problems
Nico Tauchnitz
In this paper we deal with infinite horizon optimal control problems. Basing on weak variations in an extremal problem in weighted function spaces we prove necessary conditions in…
The Pontryagin Maximum Principle for Nonlinear Infinite Horizon Optimal Control Problems with State Constraints
Nico Tauchnitz
The famous proof of the Pontryagin maximum principle for control problems on a finite horizon bases on the needle variation technique, as well as the separability concept of cones…