Hamiltonian form of the maximum principle
Revaz Gamkrelidze (2009)
Control and Cybernetics
Similarity:
Revaz Gamkrelidze (2009)
Control and Cybernetics
Similarity:
Andrei A. Agrachev, Francesca C. Chittaro (2009)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study Hamiltonian systems which generate extremal flows of regular variational problems on smooth manifolds and demonstrate that negativity of the generalized curvature of such a system implies the existence of a global smooth optimal synthesis for the infinite horizon problem. We also show that in the Euclidean case negativity of the generalized curvature is a consequence of the convexity of the Lagrangian with respect to the pair of arguments. Finally, we give a generic classification...
Vladimir Krastev (2013)
Open Mathematics
Similarity:
We consider a class of age-structured control problems with nonlocal dynamics and boundary conditions. For these problems we suggest Arrow-type sufficient conditions for optimality of problems defined on finite as well as infinite time intervals. We examine some models as illustrations (optimal education and optimal offence control problems).
Jesper Carlsson, Mattias Sandberg, Anders Szepessy (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
The powerful Hamilton-Jacobi theory is used for constructing regularizations and error estimates for optimal design problems. The constructed Pontryagin method is a simple and general method for optimal design and reconstruction: the first, analytical, step is to regularize the hamiltonian; next the solution to its stationary hamiltonian system, a nonlinear partial differential equation, is computed with the Newton method. The method is efficient for designs where the hamiltonian function...
Duca, Iulian, Udrişte, Constantin (2006)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Guerra, M. (2005)
Rendiconti del Seminario Matematico
Similarity:
Laura Poggiolini, Gianna Stefani (2008)
Control and Cybernetics
Similarity:
Gerald Goodman (1976)
Banach Center Publications
Similarity:
Ursula Felgenhauer, Laura Poggiolini, Gianna Stefani (2009)
Control and Cybernetics
Similarity: