On the sufficiency of Pontryagin's maximum principle
This work focus on sufficient conditions of optimality for an optimal control problem. A refined maximum principle condition which guarantees weak local optimality of control processes for affine control systems with a polyhedral set of controls is introduced. This refined maximum principle conditio...
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| Format: | article |
| Language: | eng |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/1822/42808 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/42808 |
| Summary: | This work focus on sufficient conditions of optimality for an optimal control problem. A refined maximum principle condition which guarantees weak local optimality of control processes for affine control systems with a polyhedral set of controls is introduced. This refined maximum principle condition expresses that the control is uniquely de- fined for almost all instants of time and the behavior of adjoint variables is rather regular. Several examples are presented to illustrate such suf- ficient condition. |
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