Control System Approach for Constructing Numerical Methods in Optimization and Applications
This thesis presents newly developed numerical methods based on bang-bang iterations. They are formulated using a component-wise line search strategy which results in a sequence of rectangular search regions. To obtain a long-term optimal trajectory, a two-phase approach is also incorporated to solv...
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| Format: | Thesis |
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Curtin University
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/66124 |
| _version_ | 1848761246806966272 |
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| author | Lee, Mok Siang |
| author_facet | Lee, Mok Siang |
| author_sort | Lee, Mok Siang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This thesis presents newly developed numerical methods based on bang-bang iterations. They are formulated using a component-wise line search strategy which results in a sequence of rectangular search regions. To obtain a long-term optimal trajectory, a two-phase approach is also incorporated to solve unconstrained and equality constrained optimization problems. To ensure convergence, a backtracking line search is used to satisfy the Lyapunov function theorem where monotonic decrement of the function value is ensured. |
| first_indexed | 2025-11-14T10:28:38Z |
| format | Thesis |
| id | curtin-20.500.11937-66124 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:28:38Z |
| publishDate | 2018 |
| publisher | Curtin University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-661242018-04-11T06:28:36Z Control System Approach for Constructing Numerical Methods in Optimization and Applications Lee, Mok Siang This thesis presents newly developed numerical methods based on bang-bang iterations. They are formulated using a component-wise line search strategy which results in a sequence of rectangular search regions. To obtain a long-term optimal trajectory, a two-phase approach is also incorporated to solve unconstrained and equality constrained optimization problems. To ensure convergence, a backtracking line search is used to satisfy the Lyapunov function theorem where monotonic decrement of the function value is ensured. 2018 Thesis http://hdl.handle.net/20.500.11937/66124 Curtin University fulltext |
| spellingShingle | Lee, Mok Siang Control System Approach for Constructing Numerical Methods in Optimization and Applications |
| title | Control System Approach for Constructing Numerical Methods in Optimization and Applications |
| title_full | Control System Approach for Constructing Numerical Methods in Optimization and Applications |
| title_fullStr | Control System Approach for Constructing Numerical Methods in Optimization and Applications |
| title_full_unstemmed | Control System Approach for Constructing Numerical Methods in Optimization and Applications |
| title_short | Control System Approach for Constructing Numerical Methods in Optimization and Applications |
| title_sort | control system approach for constructing numerical methods in optimization and applications |
| url | http://hdl.handle.net/20.500.11937/66124 |