Discrete-time port-Hamiltonian systems: A definition based on symplectic integration

Systems & Control Letters ◽

10.1016/j.sysconle.2019.104530 ◽

2019 ◽

Vol 133 ◽

pp. 104530 ◽

Cited By ~ 3

Author(s):

Paul Kotyczka ◽

Laurent Lefèvre

Keyword(s):

Hamiltonian Systems ◽

Discrete Time ◽

Symplectic Integration

Discrete-time modeling of Hamiltonian systems

TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCES ◽

10.3906/elk-1212-23 ◽

2015 ◽

Vol 23 ◽

pp. 149-170 ◽

Cited By ~ 5

Author(s):

Yaprak YALÇIN ◽

Leyla GÖREN SÜMER ◽

Salman KURTULAN

Keyword(s):

Hamiltonian Systems ◽

Discrete Time ◽

Time Modeling ◽

Discrete Time Modeling

Symplectic Integration of Hamiltonian Systems

Springer Series in Computational Mathematics - Geometric Numerical Integration ◽

10.1007/978-3-662-05018-7_6 ◽

2002 ◽

pp. 167-208

Author(s):

Ernst Hairer ◽

Gerhard Wanner ◽

Christian Lubich

Keyword(s):

Hamiltonian Systems ◽

Symplectic Integration

Safety analysis of integrated adaptive cruise control and lane keeping control using discrete-time models of port-Hamiltonian systems

2017 American Control Conference (ACC) ◽

10.23919/acc.2017.7963404 ◽

2017 ◽

Author(s):

Siyuan Dai ◽

Xenofon Koutsoukos

Keyword(s):

Hamiltonian Systems ◽

Discrete Time ◽

Adaptive Cruise Control ◽

Safety Analysis ◽

Cruise Control ◽

Lane Keeping ◽

Discrete Time Models

Adaptive interconnection and damping assignment passivity‐based control for linearly parameterized discrete‐time port controlled Hamiltonian systems via I&I approach

International Journal of Adaptive Control and Signal Processing ◽

10.1002/acs.3187 ◽

2020 ◽

Author(s):

Mohammed Alkrunz ◽

Yaprak Yalçın

Keyword(s):

Hamiltonian Systems ◽

Discrete Time ◽

Passivity Based Control

Controllability for a class of discrete-time Hamiltonian systems

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272797 ◽

2004 ◽

Author(s):

U. Vaidya ◽

I. Mezic

Keyword(s):

Hamiltonian Systems ◽

Discrete Time

Symplectic Integration of Hamiltonian Systems with Additive Noise

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901387440 ◽

2002 ◽

Vol 39 (6) ◽

pp. 2066-2088 ◽

Cited By ~ 61

Author(s):

G. N. Milstein ◽

Yu. M. Repin ◽

M. V. Tretyakov

Keyword(s):

Hamiltonian Systems ◽

Additive Noise ◽

Symplectic Integration

Construction of discrete-time models for port-controlled Hamiltonian systems with applications

Systems & Control Letters ◽

10.1016/j.sysconle.2005.09.012 ◽

2006 ◽

Vol 55 (8) ◽

pp. 673-680 ◽

Cited By ~ 21

Author(s):

Dina Shona Laila ◽

Alessandro Astolfi

Keyword(s):

Hamiltonian Systems ◽

Discrete Time ◽

Discrete Time Models

Symplectic integration of Hamiltonian systems

Nonlinearity ◽

10.1088/0951-7715/3/2/001 ◽

1990 ◽

Vol 3 (2) ◽

pp. 231-259 ◽

Cited By ~ 284

Author(s):

P J Channell ◽

C Scovel

Keyword(s):

Hamiltonian Systems ◽

Symplectic Integration

Gradient Based Discrete-Time Modeling and Control of Hamiltonian Systems

IFAC Proceedings Volumes ◽

10.3182/20080706-5-kr-1001.00036 ◽

2008 ◽

Vol 41 (2) ◽

pp. 212-217 ◽

Cited By ~ 5

Author(s):

Leyla Gören-Sümer ◽

Yaprak Yalçιn

Keyword(s):

Hamiltonian Systems ◽

Discrete Time ◽

Modeling And Control ◽

Time Modeling ◽

Gradient Based ◽

And Control ◽

Discrete Time Modeling

Stability condition of discrete-time linear Hamiltonian systems with time-varying delay feedback interconnection

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.10.206 ◽

2015 ◽

Vol 48 (13) ◽

pp. 7-12 ◽

Cited By ~ 2

Author(s):

Said Aoues ◽

Warody Lombardi ◽

Damien Eberard ◽

Michael Di-Loreto

Keyword(s):

Hamiltonian Systems ◽

Discrete Time ◽

Stability Condition ◽

Time Varying ◽

Time Varying Delay ◽

Linear Hamiltonian Systems ◽

Varying Delay ◽

Time Linear