On the existence of a solution for some distributed optimal control hyperbolic system (Q1573701)
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scientific article; zbMATH DE number 1485596
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of a solution for some distributed optimal control hyperbolic system |
scientific article; zbMATH DE number 1485596 |
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On the existence of a solution for some distributed optimal control hyperbolic system (English)
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7 August 2000
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Summary: We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable. We prove a theorem on the existence of an optimal process in the classes of absolutely continuous trajectories of two variables and measurable controls with values in a fixed compact and convex set.
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distributed parameters system
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optimal control
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existence theorem
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Bolza problem
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Darboux-Goursat system
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