Results 21 to 30 of about 1,725 (192)
IEEE Access, 2022 This paper investigates the optimal control of continuous-time multi-controller systems with completely unknown dynamics using data-driven adaptive dynamic programming (DD-ADP).
Jingang Zhao
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IEEE Access, 2021 In this article, an optimized tracking control using critic-actor reinforcement learning (RL) strategy is investigated for a class of non-affine nonlinear continuous-time systems.
Xue Yang, Bin Li, Guoxing Wen
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Observer-Based Adaptive Control of Uncertain Nonlinear Systems Via Neural Networks
IEEE Access, 2018 In this paper, a novel observer-based control strategy is proposed for a class of uncertain continuous-time nonlinear systems based on the Hamilton-Jacobi-Bellman (HJB) equation.
Chaoxu Mu, Yong Zhang, Ke Wang
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SICE Journal of Control, Measurement, and System Integration, 2020 This paper presents a numerical approach to solve the Hamilton-Jacobi-Bellman (HJB) equation, which arises in nonlinear optimal control. In this approach, we first use the successive approximation to reduce the HJB equation, a nonlinear partial ...
Ichiro Maruta +2 more
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Optimal Surplus-Dependent Reinsurance under Regime-Switching in a Brownian Risk Model
Risks, 2021 In this paper, we consider a company that wishes to determine the optimal reinsurance strategy minimising the total expected discounted amount of capital injections needed to prevent the ruin. The company’s surplus process is assumed to follow a Brownian
Julia Eisenberg +2 more
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Optimal Consumption in a Stochastic Ramsey Model with Cobb-Douglas Production Function
International Journal of Mathematics and Mathematical Sciences, 2013 A stochastic Ramsey model is studied with the Cobb-Douglas production function maximizing the expected discounted utility of consumption. We transformed the Hamilton-Jacobi-Bellman (HJB) equation associated with the stochastic Ramsey model so as to ...
Md. Azizul Baten, Anton Abdulbasah Kamil
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Triangle Inequality for Inverse Optimal Control
IEEE Access, 2023 Inverse optimal control (IOC) is a problem of estimating a cost function based on the behaviors of an expert that behaves optimally with respect to the cost function.
Sho Mitsuhashi, Shin Ishii
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Abstract and Applied Analysis, 2014 This paper investigates the excess-of-loss reinsurance and investment problem for a compound Poisson jump-diffusion risk process, with the risk asset price modeled by a constant elasticity of variance (CEV) model.
De-Lei Sheng, Ximin Rong, Hui Zhao
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Optimal Feedback Control of Cancer Chemotherapy Using Hamilton–Jacobi–Bellman Equation
Complexity, 2022 Cancer chemotherapy has been the most common cancer treatment. However, it has side effects that kill both tumor cells and immune cells, which can ravage the patient’s immune system. Chemotherapy should be administered depending on the patient’s immunity
Yong Dam Jeong +5 more
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A Review of Tipping Points and Precaution using HJB equations
Dynamic Games and Applications, 2023 AbstractThis paper analyzes three models in environmental economics with the property that tipping can occur in the ecological part of the model: the pollution control model where tipping suddenly shifts up the damage, the fishery model where tipping suddenly lowers the carrying capacity, and the Ramsey growth model where tipping suddenly decreases the
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