A New Computational Method for Optimizing Nonlinear Impulsive Systems
In this paper, we consider a system that evolves by switching between several subsystems of ordinary differential equations. The switching mechanism is this system induces an instantaneous change in the system's state, which can be controlled through a set of decision parameters. We develop a n...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
WATAM Press
2011
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/48414 |
| _version_ | 1848758101919924224 |
|---|---|
| author | Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong |
| author_facet | Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong |
| author_sort | Lin, Qun |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a system that evolves by switching between several subsystems of ordinary differential equations. The switching mechanism is this system induces an instantaneous change in the system's state, which can be controlled through a set of decision parameters. We develop a new computational method, based on nonlinear programming, for optimizing the system parameters and the subsystem switching times. We then successfully apply this method to two interesting examples. |
| first_indexed | 2025-11-14T09:38:38Z |
| format | Journal Article |
| id | curtin-20.500.11937-48414 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:38:38Z |
| publishDate | 2011 |
| publisher | WATAM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-484142017-01-30T15:39:25Z A New Computational Method for Optimizing Nonlinear Impulsive Systems Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong Nonlinear optimal control - Impulsive system - Gradient-based optimization - Nonlinear programming - Time-scaling transformation In this paper, we consider a system that evolves by switching between several subsystems of ordinary differential equations. The switching mechanism is this system induces an instantaneous change in the system's state, which can be controlled through a set of decision parameters. We develop a new computational method, based on nonlinear programming, for optimizing the system parameters and the subsystem switching times. We then successfully apply this method to two interesting examples. 2011 Journal Article http://hdl.handle.net/20.500.11937/48414 WATAM Press fulltext |
| spellingShingle | Nonlinear optimal control - Impulsive system - Gradient-based optimization - Nonlinear programming - Time-scaling transformation Lin, Qun Loxton, Ryan Teo, Kok Lay Wu, Yong Hong A New Computational Method for Optimizing Nonlinear Impulsive Systems |
| title | A New Computational Method for Optimizing Nonlinear Impulsive Systems |
| title_full | A New Computational Method for Optimizing Nonlinear Impulsive Systems |
| title_fullStr | A New Computational Method for Optimizing Nonlinear Impulsive Systems |
| title_full_unstemmed | A New Computational Method for Optimizing Nonlinear Impulsive Systems |
| title_short | A New Computational Method for Optimizing Nonlinear Impulsive Systems |
| title_sort | new computational method for optimizing nonlinear impulsive systems |
| topic | Nonlinear optimal control - Impulsive system - Gradient-based optimization - Nonlinear programming - Time-scaling transformation |
| url | http://hdl.handle.net/20.500.11937/48414 |