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MCSS
2008
Springer
8 years 1 months ago
Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index
We study optimal control problems for general unstructured nonlinear differential-algebraic equations of arbitrary index. In particular, we derive necessary conditions in the case ...
Peter Kunkel, Volker Mehrmann
SCL
2008
254views more  SCL 2008»
8 years 3 months ago
The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle
We give a simple proof of the Maximum Principle for smooth hybrid control systems by reducing the hybrid problem to an optimal control problem of Pontryagin type and then by using...
A. V. Dmitruk, A. M. Kaganovich
OL
2008
62views more  OL 2008»
8 years 3 months ago
An economic approach to some classical theorems in optimization theory
: This short article offers economically intuitive proofs of the Euler equation and the maximum principle based on one of the best known results in economics, namely that the margi...
Guang-Zhen Sun
ICRA
2000
IEEE
94views Robotics» more  ICRA 2000»
8 years 7 months ago
Extremal Trajectories for Bounded Velocity Differential Drive Robots
This paper applies Pontryagin’s Maximum Principle to the time optimal control of differential drive mobile robots with velocity bounds. The Maximum Principle gives necessary con...
Devin J. Balkcom, Matthew T. Mason
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