Construction of ISS Lyapunov functions for Hamiltonian systems with multiple disturbances

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.10.366 ◽

2021 ◽

Vol 54 (14) ◽

pp. 281-286

Author(s):

Sheng Hao ◽

Yuh Yamashita ◽

Koichi Kobayashi

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions ◽

Multiple Disturbances

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Hamiltonian Systems, Lyapunov Functions, and Stability

Dynamical Systems with Applications using MAPLE ◽

10.1007/978-1-4899-2849-8_7 ◽

2001 ◽

pp. 91-103

Author(s):

Stephen Lynch

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

10.1109/cdc.1998.761738 ◽

2002 ◽

Author(s):

B.M.J. Maschke ◽

R. Ortega ◽

A.J. van der Schaft

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation

IEEE Transactions on Automatic Control ◽

10.1109/9.871758 ◽

2000 ◽

Vol 45 (8) ◽

pp. 1498-1502 ◽

Author(s):

B. Maschke ◽

R. Ortega ◽

A.J. Van Der Schaft

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Unified Approach to Hamiltonian Systems, Poisson Systems, Gradient Systems, and Systems with Lyapunov Functions or First Integrals

Physical Review Letters ◽

10.1103/physrevlett.81.2399 ◽

1998 ◽

Vol 81 (12) ◽

pp. 2399-2403 ◽

Author(s):

Robert I. McLachlan ◽

G. R. W. Quispel ◽

Nicolas Robidoux

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions ◽

First Integrals ◽

Unified Approach ◽

Gradient Systems

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Hamiltonian Systems, Lyapunov Functions, and Stability

Dynamical Systems with Applications using MATLAB® ◽

10.1007/978-3-319-06820-6_12 ◽

2014 ◽

pp. 249-263

Author(s):

Stephen Lynch

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Hamiltonian Systems, Lyapunov Functions, and Stability

Dynamical Systems with Applications using Maple¿ ◽

10.1007/978-0-8176-4605-9_6 ◽

2009 ◽

pp. 113-127

Author(s):

Stephen Lynch

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Hamiltonian Systems, Lyapunov Functions, and Stability

Dynamical Systems with Applications Using Mathematica® ◽

10.1007/978-3-319-61485-4_6 ◽

2017 ◽

pp. 119-133

Author(s):

Stephen Lynch

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Method of Lyapunov functions for controllable Hamiltonian systems

2014 20th International Workshop on Beam Dynamics and Optimization (BDO) ◽

10.1109/bdo.2014.6890078 ◽

2014 ◽

Author(s):

Alexander Shmyrov ◽

Vasily Shmyrov

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Hamiltonian Systems, Lyapunov Functions, and Stability

Dynamical Systems with Applications using Mathematica® ◽

10.1007/978-0-8176-4586-1_6 ◽

2007 ◽

pp. 111-125 ◽

Author(s):

Stephen Lynch

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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Lyapunov functions for quasi-Hamiltonian systems

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2008.11.001 ◽

2009 ◽

Vol 24 (3) ◽

pp. 374-381 ◽

Author(s):

Z.L. Huang ◽

X.L. Jin ◽

W.Q. Zhu

Keyword(s):

Hamiltonian Systems ◽

Lyapunov Functions

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