Results 31 to 40 of about 11,588 (163)

Differential Games for Fractional-Order Systems: Hamilton–Jacobi–Bellman–Isaacs Equation and Optimal Feedback Strategies

open access: yesMathematics, 2021
The paper deals with a two-person zero-sum differential game for a dynamical system described by differential equations with the Caputo fractional derivatives of an order α∈(0,1) and a Bolza-type cost functional.
Mikhail I. Gomoyunov
doaj   +1 more source

A Semi-Linear Backward Parabolic cauchy Problem with Unbounded Coefficients of Hamilton-Jacobi-Bellman Type and Applications to optimal control [PDF]

open access: yes, 2014
We obtain weighted uniform estimates for the gradient of the solutions to a class of linear parabolic Cauchy problems with unbounded coefficients. Such estimates are then used to prove existence and uniqueness of the mild solution to a semi-linear ...
Addona, Davide
core   +2 more sources

Model-Free Gradient-Based Adaptive Learning Controller for an Unmanned Flexible Wing Aircraft

open access: yesRobotics, 2018
Classical gradient-based approximate dynamic programming approaches provide reliable and fast solution platforms for various optimal control problems. However, their dependence on accurate modeling approaches poses a major concern, where the efficiency ...
Mohammed Abouheaf   +2 more
doaj   +1 more source

Optimization of Boiler Soot Blowing Based on Hamilton-Jacobi-Bellman Equation

open access: yesIEEE Access, 2019
In this paper, the optimization of the boiler soot blowing is investigated based on the Hamilton-Jacobi-Bellman (HJB) equation and from the standpoint of the equipment health management.
Jie Wen   +4 more
doaj   +1 more source

Optimal Investment Strategy for DC Pension Plan with Stochastic Income and Inflation Risk under the Ornstein–Uhlenbeck Model

open access: yesMathematics, 2021
This paper is concerned with the optimal investment strategy for a defined contribution (DC) pension plan. We assumed that the financial market consists of a risk-free asset and a risky asset, where the risky asset is subject to the Ornstein–Uhlenbeck (O-
Yang Wang, Xiao Xu, Jizhou Zhang
doaj   +1 more source

Stochastic differential equations harvesting optimization with stochastic prices: Formulation and numerical solution

open access: yesResults in Applied Mathematics
This work aims to achieve optimal harvesting in a random setting with a stochastic price structure. We use a general growth function to model the harvested population, a geometric Brownian motion to model price change, and add fluctuations in the ...
Miguel Reis, Nuno M. Brites
doaj   +1 more source

Optimal excess of loss reinsurance-barrier dividend strategies with investment

open access: yesShenzhen Daxue xuebao. Ligong ban, 2022
The optimal barrier dividend problem under excess of loss reinsurance strategy has rarely been studied so far. We combine the risk factors such as market friction and terminal residual value with risk investment and risk control strategy, and study the ...
SUN Zongqi   +3 more
doaj   +1 more source

Weak Dynamic Programming for Generalized State Constraints [PDF]

open access: yes, 2011
We provide a dynamic programming principle for stochastic optimal control problems with expectation constraints. A weak formulation, using test functions and a probabilistic relaxation of the constraint, avoids restrictions related to a measurable ...
Bruno Bouchard   +3 more
core   +4 more sources

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

open access: yesAdvanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Utility indifference pricing of ESO with reload terms

open access: yes上海师范大学学报. 自然科学版, 2018
“Nontradable” is one of the important characters of the Executive Stock Option(ESO).Therefore,the ESO cannot be priced by hedging the corresponding underlying asset.In this paper,we study ESO with reload terms by utility indifference method,based on ...
Fu Yi, Zhang Jizhou, Ji Sulei
doaj   +1 more source

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