Singular controls in a given stepwise control problem

Singular controls in a given stepwise control problem

The Goursat-Darboux stepwise problem of systems control, i.e., the multi-stage problem of control of systems with distributed parameters, is considered. Second-order formulas for the increment in the quality functional are constructed. In investigating these formulas on needle variations in the cont...

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Veröffentlicht in:Automatic control and computer sciences 2007-06, Vol.41 (3), p.172-178
Hauptverfasser: Bagirova, S. A., Mansimov, K. B.
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
Maximum principle
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Beschreibung
Zusammenfassung:The Goursat-Darboux stepwise problem of systems control, i.e., the multi-stage problem of control of systems with distributed parameters, is considered. Second-order formulas for the increment in the quality functional are constructed. In investigating these formulas on needle variations in the control, a number of necessary Pontryagin maximum principle-type optimality conditions is obtained and a singular case is studied.
ISSN:0146-4116
1558-108X
DOI:10.3103/S014641160703008X