Application of viscosity solutions of infinite-dimensional Hamilton-Jacobi-Bellman equations to some problems in distributed optimal control

E. N. Barron

doi:10.1007/bf00939448

Application of viscosity solutions of infinite-dimensional Hamilton-Jacobi-Bellman equations to some problems in distributed optimal control

Journal of Optimization Theory and Applications ◽

10.1007/bf00939448 ◽

1990 ◽

Vol 64 (2) ◽

pp. 245-268 ◽

Cited By ~ 11

Author(s):

E. N. Barron

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Distributed Optimal Control ◽

Bellman Equations ◽

Infinite Dimensional ◽

Hamilton Jacobi Bellman

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Distributed optimal control and viscosity solutions of infinite dimensional Bellman equations

10.1109/cdc.1987.272703 ◽

1987 ◽

Author(s):

Emmanuel Barron

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Distributed Optimal Control ◽

Bellman Equations ◽

Infinite Dimensional

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Optimal Control Problems of Fully Coupled FBSDEs and Viscosity Solutions of Hamilton--Jacobi--Bellman Equations

SIAM Journal on Control and Optimization ◽

10.1137/100816778 ◽

2014 ◽

Vol 52 (3) ◽

pp. 1622-1662 ◽

Cited By ~ 21

Author(s):

Juan Li ◽

Qingmeng Wei

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Optimal Control Problems ◽

Control Problems ◽

Bellman Equations ◽

Hamilton Jacobi Bellman ◽

Fully Coupled

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Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations

10.1007/978-0-8176-4755-1 ◽

1997 ◽

Cited By ~ 934

Author(s):

Martino Bardi ◽

Italo Capuzzo-Dolcetta

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Bellman Equations ◽

Hamilton Jacobi Bellman

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The optimal control related to Riemannian manifolds and the viscosity solutions to Hamilton–Jacobi–Bellman equations

Systems & Control Letters ◽

10.1016/j.sysconle.2014.03.011 ◽

2014 ◽

Vol 69 ◽

pp. 7-15 ◽

Cited By ~ 3

Author(s):

Xuehong Zhu

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Riemannian Manifolds ◽

Bellman Equations ◽

Hamilton Jacobi Bellman

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Delay optimal control and viscosity solutions to associated Hamilton–Jacobi–Bellman equations

International Journal of Control ◽

10.1080/00207179.2018.1436769 ◽

2018 ◽

Vol 92 (10) ◽

pp. 2263-2273 ◽

Cited By ~ 1

Author(s):

Jianjun Zhou

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Bellman Equations ◽

Hamilton Jacobi Bellman

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Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness

Communications in Partial Differential Equations ◽

10.1080/03605308308820301 ◽

1983 ◽

Vol 8 (11) ◽

pp. 1229-1276 ◽

Cited By ~ 228

Author(s):

P. L. Lions

Keyword(s):

Optimal Control ◽

Viscosity Solutions ◽

Diffusion Processes ◽

Bellman Equations ◽

Hamilton Jacobi Bellman

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Viscosity solutions to Hamilton–Jacobi–Bellman equations associated with sublinear Lévy(-type) processes

Latin American Journal of Probability and Mathematical Statistics ◽

10.30757/alea.v16-20 ◽

2019 ◽

Vol 16 (1) ◽

pp. 531

Author(s):

Franziska Kühn

Keyword(s):

Viscosity Solutions ◽

Bellman Equations ◽

Hamilton Jacobi Bellman

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Distributed Optimal Control of Lagrangian Infinite-Dimensional Systems with Kalman Filter Estimation

10.2514/6.2022-2027 ◽

2022 ◽

Author(s):

Nhan T. Nguyen

Keyword(s):

Optimal Control ◽

Kalman Filter ◽

Distributed Optimal Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

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Stochastic Equations with Delay: Optimal Control via BSDEs and Regular Solutions of Hamilton–Jacobi–Bellman Equations

SIAM Journal on Control and Optimization ◽

10.1137/080730354 ◽

2010 ◽

Vol 48 (7) ◽

pp. 4624-4651 ◽

Cited By ~ 20

Author(s):

Marco Fuhrman ◽

Federica Masiero ◽

Gianmario Tessitore

Keyword(s):

Optimal Control ◽

Stochastic Equations ◽

Regular Solutions ◽

Bellman Equations ◽

Hamilton Jacobi Bellman ◽

Equations With Delay

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Small-noise asymptotics of Hamilton–Jacobi–Bellman equations and bifurcations of stochastic optimal control problems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.09.029 ◽

2015 ◽

Vol 22 (1-3) ◽

pp. 38-54 ◽

Cited By ~ 4

Author(s):

Dieter Grass ◽

Tatiana Kiseleva ◽

Florian Wagener

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Small Noise ◽

Bellman Equations ◽

Hamilton Jacobi Bellman ◽

Small Noise Asymptotics

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