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SCL
2008
254views more  SCL 2008»
13 years 4 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
CDC
2008
IEEE
133views Control Systems» more  CDC 2008»
13 years 11 months ago
The pontryagin maximum principle applied to nonholonomic mechanics
— We introduce a method which allows one to recover the nonholonomic equations of motion of certain systems by instead finding a Hamiltonian via Pontryagin’s Maximum Principle...
Oscar E. Fernandez, Anthony M. Bloch, Tom Mestdag
ICRA
2000
IEEE
94views Robotics» more  ICRA 2000»
13 years 9 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
EOR
2006
71views more  EOR 2006»
13 years 4 months ago
Control and optimal response problems for quasilinear impulsive integrodifferential equations
One of the central results of the paper is the Pontryagin maximum principle [16] which is considered in sufficient form for the linear case of impulsive differential equations. Th...
M. U. Akhmet, M. Kirane, M. A. Tleubergenova, Gerh...
MCSS
2008
Springer
13 years 3 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