A new type of Mei adiabatic invariant induced by perturbation to Mei symmetry for nonholonomic mechanical systems

Acta Physica Sinica ◽

10.7498/aps.58.7440 ◽

2009 ◽

Vol 58 (11) ◽

pp. 7440

Author(s):

Ding Ning ◽

Fang Jian-Hui

Keyword(s):

Mechanical Systems ◽

Adiabatic Invariant ◽

Nonholonomic Mechanical Systems ◽

New Type ◽

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Perturbation and Adiabatic Invariants of Mei Symmetry for Nonholonomic Mechanical Systems

Communications in Theoretical Physics ◽

10.1088/0253-6102/47/4/004 ◽

2007 ◽

Vol 47 (4) ◽

pp. 594-596 ◽

Author(s):

Ding Ning ◽

Fang Jian-Hui ◽

Wang Peng

Keyword(s):

Mechanical Systems ◽

Adiabatic Invariants ◽

Nonholonomic Mechanical Systems ◽

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New Type of Conserved Quantities of Lie Symmetry for Nonholonomic Mechanical Systems in Phase Space

Communications in Theoretical Physics ◽

10.1088/0253-6102/52/6/01 ◽

2009 ◽

Vol 52 (6) ◽

pp. 977-980 ◽

Author(s):

Pang Ting ◽

Fang Jian-Hui ◽

Lin Peng ◽

Zhang Ming-Jiang ◽

Lu Kai

Keyword(s):

Phase Space ◽

Mechanical Systems ◽

Lie Symmetry ◽

Conserved Quantities ◽

Nonholonomic Mechanical Systems ◽

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Perturbation to Noether–Mei Symmetry and Adiabatic Invariants for Nonholonomic Mechanical Systems in Phase Space

Communications in Theoretical Physics ◽

10.1088/0253-6102/51/4/05 ◽

2009 ◽

Vol 51 (4) ◽

pp. 600-604 ◽

Author(s):

Zhang Ming-Jiang ◽

Fang Jian-Hui ◽

Lu Kai

Keyword(s):

Phase Space ◽

Mechanical Systems ◽

Adiabatic Invariants ◽

Nonholonomic Mechanical Systems ◽

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A New Type of Mei Adiabatic Invariant Induced by Perturbation to Mei Symmetry of Hamiltonian Systems

Communications in Theoretical Physics ◽

10.1088/0253-6102/52/1/03 ◽

2009 ◽

Vol 52 (1) ◽

pp. 12-16 ◽

Author(s):

Ding Ning ◽

Fang Jian-Hui

Keyword(s):

Hamiltonian Systems ◽

Adiabatic Invariant ◽

New Type ◽

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Passive configuration decomposition and practical stabilization of nonholonomic mechanical systems with symmetry

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5718145 ◽

2010 ◽

Author(s):

Dongjun Lee

Keyword(s):

Mechanical Systems ◽

Nonholonomic Mechanical Systems ◽

Practical Stabilization

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On the Stabilization of Nonholonomic Mechanical Systems via Immersion and Invariance

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.01537 ◽

2011 ◽

Vol 44 (1) ◽

pp. 7227-7232 ◽

Author(s):

I. Sarras

Keyword(s):

Mechanical Systems ◽

Nonholonomic Mechanical Systems ◽

Immersion And Invariance

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Dirac reduction for nonholonomic mechanical systems and semidirect products

Advances in Applied Mathematics ◽

10.1016/j.aam.2014.10.004 ◽

2015 ◽

Vol 63 ◽

pp. 131-213 ◽

Author(s):

François Gay-Balmaz ◽

Hiroaki Yoshimura

Keyword(s):

Mechanical Systems ◽

Semidirect Products ◽

Nonholonomic Mechanical Systems

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A new type of conserved quantity of Mei symmetry for Lagrange system

Chinese Physics ◽

10.1088/1009-1963/16/4/002 ◽

2007 ◽

Vol 16 (4) ◽

pp. 887-890 ◽

Author(s):

Fang Jian-Hui ◽

Ding Ning ◽

Wang Peng

Keyword(s):

Conserved Quantity ◽

Lagrange System ◽

New Type ◽

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Steering algorithm for nonholonomic mechanical systems using adaptive sliding mode control

2017 AEIT International Annual Conference ◽

10.23919/aeit.2017.8240578 ◽

2017 ◽

Author(s):

Waseem Abbasi ◽

Fazal ur Rehman ◽

Ibrahim Shah

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

Mechanical Systems ◽

Adaptive Sliding Mode Control ◽

Adaptive Sliding Mode ◽

Nonholonomic Mechanical Systems ◽

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Control of uncertain nonholonomic mechanical systems using differential flatness

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) ◽

10.1109/acc.1998.703541 ◽

1998 ◽

Author(s):

E. Barany ◽

K. Glass ◽

R. Colbaugh

Keyword(s):

Mechanical Systems ◽

Differential Flatness ◽

Nonholonomic Mechanical Systems

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