scholarly journals Repetitive control of Hamiltonian systems based on variational symmetry

2011 ◽  
Vol 60 (9) ◽  
pp. 763-770 ◽  
Author(s):  
Kenji Fujimoto ◽  
Satoshi Satoh
Keyword(s):  
Hamiltonian Systems ◽  
Repetitive Control ◽  
Variational Symmetry

scholarly journals On Repetitive Control of Hamiltonian Systems Based on Variational Symmetry

2007 ◽  
Vol 43 (8) ◽  
pp. 711-713
Author(s):  
Kenji FUJIMOTO ◽  
Satoshi SATOH
Keyword(s):  
Hamiltonian Systems ◽  
Repetitive Control ◽  
Variational Symmetry

scholarly journals Iterative Learning Optimal Control of Hamiltonian Systems Based on Variational Symmetry

2008 ◽  
Vol 21 (1) ◽  
pp. 10-17 ◽  
Author(s):  
Kenji FUJIMOTO ◽  
Tetsu HORIUCHI ◽  
Toshiharu SUGIE
Keyword(s):  
Optimal Control ◽  
Hamiltonian Systems ◽  
Iterative Learning ◽  
Variational Symmetry

Iterative feedback tuning for Hamiltonian systems based on variational symmetry

2019 ◽  
Vol 29 (16) ◽  
pp. 5845-5865 ◽  
Author(s):  
Satoshi Satoh ◽  
Kenji Fujimoto
Keyword(s):  
Hamiltonian Systems ◽  
Iterative Feedback ◽  
Variational Symmetry

scholarly journals Optimal Gait Generation for a One-legged Robot Based on Variational Symmetry of Hamiltonian Systems

2007 ◽  
Vol 43 (12) ◽  
pp. 1103-1110 ◽  
Author(s):  
Satoshi SATOH ◽  
Kenji FUJIMOTO ◽  
Sang-Ho HYON
Keyword(s):  
Hamiltonian Systems ◽  
Legged Robot ◽  
Gait Generation ◽  
Optimal Gait ◽  
Variational Symmetry

Port-Hamiltonian Systems Theory: An Introductory Overview

2014 ◽  
Author(s):  
Arjan van der Schaft ◽  
Dimitri Jeltsema
Keyword(s):  
Systems Theory ◽  
Hamiltonian Systems ◽  
Introductory Overview

High-Precision Tracking by Digital Repetitive Control Scheme with Periodic-Type Hold Function

1992 ◽  
Author(s):  
Shinji Hara ◽  
Hiroyuki Kawamura ◽  
Hak-Kyung Sung
Keyword(s):  
High Precision ◽  
Repetitive Control ◽  
Control Scheme ◽  
Precision Tracking

Deterministic Mechanism of Irreversibility

2018 ◽  
Vol 14 (3) ◽  
pp. 5708-5733 ◽  
Author(s):  
Vyacheslav Michailovich Somsikov
Keyword(s):  
Internal Energy ◽  
Hamiltonian Systems ◽  
Classical Mechanics ◽  
Motion Equation ◽  
Holonomic Constraints ◽  
Dissipative Processes ◽  
Motion Energy ◽  
Analytical Review ◽  
History Of ◽  
Material Points

The analytical review of the papers devoted to the deterministic mechanism of irreversibility (DMI) is presented. The history of solving of the irreversibility problem is briefly described. It is shown, how the DMI was found basing on the motion equation for a structured body. The structured body was given by a set of potentially interacting material points. The taking into account of the body’s structure led to the possibility of describing dissipative processes. This possibility caused by the transformation of the body’s motion energy into internal energy. It is shown, that the condition of holonomic constraints, which used for obtaining of the canonical formalisms of classical mechanics, is excluding the DMI in Hamiltonian systems. The concepts of D-entropy and evolutionary non-linearity are discussed. The connection between thermodynamics and the laws of classical mechanics is shown. Extended forms of the Lagrange, Hamilton, Liouville, and Schrödinger equations, which describe dissipative processes, are presented.

Repetitive control in the presence of multiple periodic disturbances

1992 ◽  
Author(s):  
EDWARD SOLCZ ◽  
RICHARD LONGMAN
Keyword(s):  
Repetitive Control ◽  
Periodic Disturbances
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