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...
— 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...
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...
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...
We study optimal control problems for general unstructured nonlinear differential-algebraic equations of arbitrary index. In particular, we derive necessary conditions in the case ...