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| Titel: |
Optimal control of linear retarded systems to small solutions |
| Auteur: |
Colonius, Fritz |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 36 (1982) nr. 4 pagina's 675-693 |
| Jaar: |
1982-10-01 |
| Inhoud: |
This paper deals with necessary optimality conditions for control of general linear retarded systems to small solutions. Here the final states at time T are required to generate small solutions of the uncontrolled system vanishing after T - h + α, where α ≥ 0 is fixed. This generalizes the fixed final state problem where α = 0, and for α = h includes problems with fixed reduced final state FxT, where F is the structural operator of the delay system. Necessary optimality conditions in the form of a maximum principle are valid if a certain space called the ' small attainability sub-space ' is closed in a Sobolev space. A sufficient criterion for this closedness property is indicated. Finally, an example is discussed where the maximum principle for the fixed final state problem is not valid, while the new problem with α = h can be solved by an application of the obtained results. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 10 gevonden artikelen
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