Results 21 to 30 of about 8,699 (152)
Smooth Value Functions for a Class of Nonsmooth Utility Maximization Problems [PDF]
, 2010 In this paper we prove that there exists a smooth classical solution to the HJB equation for a large class of constrained problems with utility functions that are not necessarily differentiable or strictly concave.
Bian, Baojun, Miao, Sheng, Zheng, Harry
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On Stability of Perturbed Nonlinear Switched Systems with Adaptive Reinforcement Learning
Energies, 2020 In this paper, a tracking control approach is developed based on an adaptive reinforcement learning algorithm with a bounded cost function for perturbed nonlinear switched systems, which represent a useful framework for modelling these converters, such ...
Phuong Nam Dao +3 more
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Cogent Engineering, 2020 Motivated by modeling an unmanned aerial vehicle at a constant altitude plane above ground level as Dubins vehicle with signed upper-bounded curvature as constrained input and the flight path as Dubins path, the class of flight paths we study is ...
Han-Jung Chou +2 more
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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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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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HJB-POD Feedback Control for Navier-Stokes Equations [PDF]
, 2016 In this report we present the approximation of an infinite horizon optimal control problem for the evolutive Navier-Stokes system. The method is based on a model reduction technique, using a POD approximation, coupled with a Hamilton-Jacobi equation which characterizes the value function of the corresponding control problem for the reduced system ...
Alla, Alessandro, Hinze, Michael
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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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Galerkin approximations for the optimal control of nonlinear delay differential equations [PDF]
, 2017 Optimal control problems of nonlinear delay differential equations (DDEs) are considered for which we propose a general Galerkin approximation scheme built from Koornwinder polynomials.
Chekroun, Mickaël D. +2 more
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PINN-based viscosity solution of HJB equation
, 2023 This paper proposed a novel PINN-based viscosity solution for HJB equations. Although there exists work using PINN to solve HJB, but none of them gives the solution in viscosity sense. This paper reveals the fact that using the convex neural network, one can guarantee the viscosity solution and thus the neural network can easily converge to the true ...
Liu, Tianyu +3 more
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