Quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory (Q2038571)
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scientific article; zbMATH DE number 7369050
| Language | Label | Description | Also known as |
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| English | Quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory |
scientific article; zbMATH DE number 7369050 |
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Quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory (English)
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7 July 2021
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Summary: In this paper, we study the quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory. A global well-posedness theorem regarding the solutions to its Cauchy problem is given. We formulate the minimax control problem with bilinear control inputs and corresponding disturbances. Under some assumptions, we prove the existence of optimal pairs and give necessary optimality conditions for optimal pairs in some observation cases.
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0.8949463
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