Results 11 to 20 of about 4,636,575 (354)
A maximum principle related to volume growth and applications [PDF]
Annali di Matematica Pura ed Applicata, 2020 In this paper, we derive a new form of maximum principle for smooth functions on a complete noncompact Riemannian manifold M for which there exists a bounded vector field X such that ⟨∇f,X⟩≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
L. Alías +2 more
semanticscholar +1 more source
Maximum principle for discrete-time stochastic optimal control problem and stochastic game
Mathematical Control and Related Fields, 2021 This paper is first concerned with one kind of discrete-time stochastic optimal control problem with convex control domains, for which necessary condition in the form of Pontryagin's maximum principle and sufficient condition of optimality are derived ...
Zhen Wu, Feng Zhang
semanticscholar +1 more source
The maximum entropy principle for compositional data
BMC Bioinformatics, 2022 Background Compositional systems, represented as parts of some whole, are ubiquitous. They encompass the abundances of proteins in a cell, the distribution of organisms in nature, and the stoichiometry of the most basic chemical reactions.
Corey Weistuch +3 more
doaj +1 more source
Pontryagin Maximum Principle for Distributed-Order Fractional Systems
Mathematics, 2021 We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type.
Faïçal Ndaïrou, Delfim F. M. Torres
doaj +1 more source
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation [PDF]
SIAM Journal on Numerical Analysis, 2019 The nonlocal Allen--Cahn equation, a generalization of the classic Allen--Cahn equation by replacing the Laplacian with a parameterized nonlocal diffusion operator, satisfies the maximum principle ...
Q. Du, L. Ju, Xiao Li, Zhonghua Qiao
semanticscholar +1 more source
E S A I M: Control, Optimisation and Calculus of Variations, 2020 In this paper we focus on a general optimal control problem involving a dynamical system described by a nonlinear Caputo fractional differential equation of order 0
M. Bergounioux, L. Bourdin
semanticscholar +1 more source
Extended Mean Field Control Problems: Stochastic Maximum Principle and Transport Perspective [PDF]
SIAM Journal of Control and Optimization, 2018 We study Mean Field stochastic control problems where the cost function and the state dynamics depend upon the joint distribution of the controlled state and the control process.
Beatrice Acciaio +2 more
semanticscholar +1 more source
A Global Stochastic Maximum Principle for Fully Coupled Forward-Backward Stochastic Systems [PDF]
SIAM 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
Abolishing the maximum tension principle
Physics Letters B, 2015 We find the series of example theories for which the relativistic limit of maximum tension Fmax=c4/4G represented by the entropic force can be abolished.
Mariusz P. Da̧browski, H. Gohar
doaj +1 more source
On Korenblum’s maximum principle [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: If \(f\) and \(g\) are analytic functions in the unit disk and \(|\cdot|\) is the Bergman norm, conditions are studied under which there exists an absolute constant \(c\) such that \(|f(z)|\geq|g(z)|\) for \(c\leq|z|
openaire +2 more sources