What is it about?
It is often desirable to reach goals in finite time!
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Why is it important?
Optimal controls minimize a given objective functional. We show that certain objective functionals of integral type lead to controls that reach the desired terminal states in finite time.
Perspectives
We expect that the mathematical structure that the non smooth L1-objective functional leads to time optimal controls also is valid for systems that are governed by more general hyperbolic partial differential equation.
Martin Gugat
Friedrich-Alexander-Universitat Erlangen-Nurnberg
Read the Original
This page is a summary of: Optimal Neumann control of the wave equation with
L
1
-control cost: the finite-time turnpike property, Optimization, July 2024, Taylor & Francis,
DOI: 10.1080/02331934.2024.2373904.
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