Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11432-007-0041-6
Title: On Hamiltonian realization of time-varying nonlinear systems
Authors: Wang, Y.
Ge, S.S. 
Cheng, D.
Keywords: Diffoemorphism
Dissipative Hamiltonian realization
Generalized Hamiltonian realization
Structural construction
Issue Date: Oct-2007
Source: Wang, Y., Ge, S.S., Cheng, D. (2007-10). On Hamiltonian realization of time-varying nonlinear systems. Science in China, Series F: Information Sciences 50 (5) : 671-685. ScholarBank@NUS Repository. https://doi.org/10.1007/s11432-007-0041-6
Abstract: This paper investigates Hamiltonian realization of time-varying nonlinear (TVN) systems, and proposes a number of new methods for the problem. It is shown that every smooth TVN system can be expressed as a generalized Hamiltonian system if the origin is the equilibrium of the system. If the Jacobian matrix of a TVN system is nonsingular, the system has a generalized Hamiltonian realization whose structural matrix and Hamiltonian function are given explicitly. For the case that the Jacobian matrix is singular, this paper provides a constructive decomposition method, and then proves that a TVN system has a generalized Hamiltonian realization if its Jacobian matrix has a non-singular main diagonal block. Furthermore, some sufficient (necessary and sufficient) conditions for dissipative Hamiltonian realization of TVN systems are also presented in this paper. © 2007 Science in China Press.
Source Title: Science in China, Series F: Information Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/56864
ISSN: 10092757
DOI: 10.1007/s11432-007-0041-6
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

1
checked on Dec 7, 2017

WEB OF SCIENCETM
Citations

1
checked on Nov 29, 2017

Page view(s)

39
checked on Dec 11, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.