A family of oscillating generalized Hamiltonian systems

被引：0

作者：

Aracil, J ^{[1
]}

Gómez-Estern, F ^{[1
]}

Gordillo, F ^{[1
]}

机构：

[1] Univ Sevilla, Escuela Super Ingn, Seville 41092, Spain

来源：

LAGRANGIAN AND HAMILTONIAN METHODS IN NONLINEAR CONTROL 2003 | 2003年

关键词：

non-linear oscillations; limit cycles; backstepping; generalized Hamiltonian systems;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we introduce a method for generating stable and robust oscillations in nonlinear systems. The oscillations are associated to a limit cycle that is produced in a second order subsystem. Then the controller is extended to the full system by backstepping. A remarkable property of the introduced method is that it leads to a generalized Hamiltonian structure and to a Lyapunov function which guarantees the stability and robustness of the system. Copyright (C) 2003 IFAC.

引用

页码：93 / 98

页数：6

共 50 条

[21] Reliability of quasi integrable generalized Hamiltonian systems
Chen, L. C.
Zhu, W. Q.
PROBABILISTIC ENGINEERING MECHANICS, 2010, 25 (01) : 61 - 66
[22] Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems
柳振鑫
伊贺达赉
黄庆道
NortheasternMathematicalJournal, 2005, (04) : 447 - 464
[23] GENERALIZED HAMILTONIAN FOR TUNNELING CENTERS IN METALLIC SYSTEMS
ZARAND, G
SOLID STATE COMMUNICATIONS, 1993, 86 (07) : 413 - 416
[24] HOMOCLINIC　ORBITS　IN　PERTURBED　GENERALIZED　HAMILTONIAN　SYSTEMS
赵晓华
李继彬
黄克累
Acta Mathematica Scientia, 1996, (04)
[25] Canonical transformation and stabilization of generalized Hamiltonian systems
Fujimoto, K
Sugie, T
SYSTEMS & CONTROL LETTERS, 2001, 42 (03) : 217 - 227
[26] Generalized Hamiltonian Systems on a Poisson Product Manifold
WANG HongCollege of Mathematics and LPMCNankai UniversityTianjin China
太原理工大学学报, 2005, (06) : 738 - 741
[27] A generalized framework of neural networks for Hamiltonian systems
Horn, Philipp
Ulibarrena, Veronica Saz
Koren, Barry
Zwart, Simon Portegies
JOURNAL OF COMPUTATIONAL PHYSICS, 2025, 521
[28] Persistence of invariant tori in generalized Hamiltonian systems
Li, Y
Yi, YF
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2002, 22 : 1233 - 1261
[29] Generalized port-Hamiltonian DAE systems
van der Schaft, Arjan
Maschke, Bernhard
SYSTEMS & CONTROL LETTERS, 2018, 121 : 31 - 37
[30] Periodic orbits in perturbed generalized Hamiltonian systems
Zhao, XH
Li, JB
Huang, KL
ACTA MATHEMATICA SCIENTIA, 1995, 15 (04) : 370 - 384

← 1 2 3 4 5 →