Results 11 to 20 of about 9,123 (200)
Fractional Order Version of the HJB Equation
, 2018 We consider an extension of the well-known Hamilton-Jacobi-Bellman (HJB) equation for fractional order dynamical systems in which a generalized performance index is considered for the related optimal control problem.
AsadiZadehShiraz, Mehdi +2 more
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Exploratory HJB Equations and Their Convergence
SIAM Journal on Control and Optimization, 2022 We study the exploratory Hamilton--Jacobi--Bellman (HJB) equation arising from the entropy-regularized exploratory control problem, which was formulated by Wang, Zariphopoulou and Zhou (J. Mach. Learn. Res., 21, 2020) in the context of reinforcement learning in continuous time and space.
Wenpin Tang +2 more
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PINN-based viscosity solution of HJB equation
CoRR, 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 ...
Tianyu Liu +3 more
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Series Solution of Stochastic HJB Equations [PDF]
2019 IEEE 58th Conference on Decision and Control (CDC), 2019 We consider infinite horizon, stochastic, smooth optimal control problems in continuous time where the coefficients of the white Gaussian noise terms in the dynamics vanish at the origin. We show how the Taylor polynomials of the optimal cost and the optimal feedback can be computed degree by degree. This is a generaliztion of the work of Al’brekht who
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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, 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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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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