Mean Square Optimal Control by Interconnection for Linear Stochastic Hamiltonian Systems

2020 Australian and New Zealand Control Conference (ANZCC) ◽

10.1109/anzcc50923.2020.9318348 ◽

2020 ◽

Author(s):

Igor G. Vladimirov ◽

Ian R. Petersen

Keyword(s):

Optimal Control ◽

Hamiltonian Systems ◽

Mean Square ◽

Stochastic Hamiltonian Systems

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Overdamped limit of generalized stochastic Hamiltonian systems for singular interaction potentials

Journal of Evolution Equations ◽

10.1007/s00028-019-00530-8 ◽

2019 ◽

Vol 20 (2) ◽

pp. 577-605

Author(s):

Martin Grothaus ◽

Andreas Nonnenmacher

Keyword(s):

Hamiltonian Systems ◽

Interaction Potentials ◽

Singular Interaction ◽

Stochastic Hamiltonian Systems ◽

Overdamped Limit

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Input and plant parameter optimization via learning optimal control of Hamiltonian systems

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.10.214 ◽

2015 ◽

Vol 48 (13) ◽

pp. 57-62 ◽

Author(s):

Satoshi Satoh ◽

Kenji Fujimoto ◽

Masami Saeki

Keyword(s):

Optimal Control ◽

Hamiltonian Systems ◽

Parameter Optimization ◽

Plant Parameter

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Basic Framework for I/O Based Optimal Control of Hamiltonian Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)38874-2 ◽

2003 ◽

Vol 36 (2) ◽

pp. 99-104

Author(s):

Kenji Fujimoto ◽

Toshiharu Sugie

Keyword(s):

Optimal Control ◽

Hamiltonian Systems ◽

Basic Framework

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Error Expansion for a Symplectic Scheme for Stochastic Hamiltonian Systems

Springer Proceedings in Mathematics & Statistics - Recent Advances in Mathematical and Statistical Methods ◽

10.1007/978-3-319-99719-3_51 ◽

2018 ◽

pp. 567-577

Author(s):

Cristina Anton

Keyword(s):

Hamiltonian Systems ◽

Symplectic Scheme ◽

Stochastic Hamiltonian Systems ◽

Error Expansion

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Geometry of Optimal Control Problems and Hamiltonian Systems

Nonlinear and Optimal Control Theory - Lecture Notes in Mathematics ◽

10.1007/978-3-540-77653-6_1 ◽

2008 ◽

pp. 1-59 ◽

Author(s):

Andrei A. Agrachev

Keyword(s):

Optimal Control ◽

Hamiltonian Systems ◽

Optimal Control Problems ◽

Control Problems

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Weak backward error analysis for stochastic Hamiltonian Systems

BIT Numerical Mathematics ◽

10.1007/s10543-019-00747-6 ◽

2019 ◽

Vol 59 (3) ◽

pp. 613-646 ◽

Author(s):

Cristina Anton

Keyword(s):

Error Analysis ◽

Hamiltonian Systems ◽

Backward Error Analysis ◽

Backward Error ◽

Stochastic Hamiltonian Systems

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Stochastic optimal control of partially observable nonlinear quasi-integrable Hamiltonian systems

Science China Physics Mechanics and Astronomy ◽

10.1007/s11433-010-0081-6 ◽

2010 ◽

Vol 53 (1) ◽

pp. 147-154 ◽

Author(s):

Ju Feng ◽

WeiQiu Zhu ◽

ZuGuang Ying

Keyword(s):

Optimal Control ◽

Hamiltonian Systems ◽

Stochastic Optimal Control ◽

Integrable Hamiltonian Systems ◽

Partially Observable

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Stochastic minimax optimal control strategy for uncertain quasi-Hamiltonian systems using stochastic maximum principle

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-013-0958-x ◽

2013 ◽

Vol 49 (1) ◽

pp. 69-80 ◽

Author(s):

R. C. Hu ◽

Z. G. Ying ◽

W. Q. Zhu

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Hamiltonian Systems ◽

Control Strategy ◽

Stochastic Maximum Principle ◽

Optimal Control Strategy ◽

Minimax Optimal Control

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Stochastic optimal control of quasi non-integrable Hamiltonian systems with stochastic maximum principle

Nonlinear Dynamics ◽

10.1007/s11071-012-0494-z ◽

2012 ◽

Vol 70 (1) ◽

pp. 779-787 ◽

Author(s):

X. D. Gu ◽

W. Q. Zhu ◽

W. Xu

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Hamiltonian Systems ◽

Stochastic Optimal Control ◽

Stochastic Maximum Principle ◽

Integrable Hamiltonian Systems

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A minimax optimal control strategy for partially observable uncertain quasi-Hamiltonian systems

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2011.09.003 ◽

2012 ◽

Vol 47 (10) ◽

pp. 1147-1153 ◽

Author(s):

J. Feng ◽

Z.G. Ying ◽

W.Q. Zhu

Keyword(s):

Optimal Control ◽

Hamiltonian Systems ◽

Control Strategy ◽

Optimal Control Strategy ◽

Minimax Optimal Control ◽

Partially Observable

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