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A Global Stochastic Maximum Principle for Fully Coupled Forward-Backward Stochastic Systems [PDF]

open access: yesSIAM Journal of Control and Optimization, 2018
We study a stochastic optimal control problem for fully coupled forward-backward stochastic control systems with a nonempty control domain. By introducing the first-order and second-order variational equations which is a fully-coupled FBSDEs, and ...
Mingshang Hu, Shaolin Ji, Xiaole Xue
semanticscholar   +1 more source

A maximum principle [PDF]

open access: yesJournal of the Australian Mathematical Society, 1979
AbstractLet K be a nonempty compact set in a Hausdorff locally convex space, and F a nonempty family of upper semicontinuous convex-like functions from K into [–∞, ∞). K is partially ordered by F in a natural manner. It is shown among other things that each isotone, upper semicontinuous and convex-like function g: K → [ – ∞, ∞) attains its K-maximum at
openaire   +2 more sources

Pontryagin Maximum Principle and Stokes Theorem [PDF]

open access: yes, 2019
We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a necessary and sufficient condition that characterizes the optimal solutions ...
Cardin, Franco, Spiro, Andrea
core   +2 more sources

Utility Function from Maximum Entropy Principle

open access: yesEntropy, 2006
Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function.
Amir H. Darooneh
doaj   +1 more source

Geometric Approach to Pontryagin's Maximum Principle [PDF]

open access: yes, 2008
Since the second half of the 20th century, Pontryagin's Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy.
A. Agrachev   +61 more
core   +6 more sources

Risk-Sensitive Maximum Principle for Controlled System with Delay

open access: yesMathematics, 2023
Risk-sensitive maximum principle and verification theorem for controlled system with delay is obtained by virtue of classical convex variational technique.
Peng Wang
doaj   +1 more source

A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems [PDF]

open access: yesE S A I M: Control, Optimisation and Calculus of Variations, 2018
In this paper, we prove a Pontryagin Maximum Principle for constrained optimal control problems in the Wasserstein space of probability measures. The dynamics is described by a transport equation with non-local velocities which are affine in the control,
Benoît Bonnet
semanticscholar   +1 more source

Weak Scale From the Maximum Entropy Principle [PDF]

open access: yes, 2015
The theory of multiverse and wormholes suggests that the parameters of the Standard Model are fixed in such a way that the radiation of the $S^{3}$ universe at the final stage $S_{rad}$ becomes maximum, which we call the maximum entropy principle ...
Hamada, Yuta   +2 more
core   +2 more sources

Maximum principle for hypersurfaces [PDF]

open access: yesManuscripta Mathematica, 1989
Let \(M\) be a Riemannian or Lorentzian manifold. Firstly, the author gives a short proof of the following interior maximum principle for hypersurfaces; Let \(W_+\) and \(W_-\) be disjoint open domains in \(M\) with spacelike connected \(C^2\)-boundaries having a point in common.
openaire   +2 more sources

Optimal Control of Quantum Systems by Pontryagin Maximum Principle

open access: yesU.Porto Journal of Engineering, 2022
Optimal control provides powerful tools and concepts that can be applied to control quantum systems. It has been used extensively to improve the performance of quantum processes in a variety of active areas in quantum technologies. This paper reviews the
Nahid Binandeh Dehaghani   +1 more
doaj   +1 more source

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