Please use this identifier to cite or link to this item:
|Title:||On Hamiltonian realization of time-varying nonlinear systems|
Dissipative Hamiltonian realization
Generalized Hamiltonian realization
|Citation:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jul 12, 2018
WEB OF SCIENCETM
checked on Jun 5, 2018
checked on Jun 30, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.