Pareto optimality for nonlinear infinite dimensional control systems (Q750863)
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scientific article; zbMATH DE number 4175821
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pareto optimality for nonlinear infinite dimensional control systems |
scientific article; zbMATH DE number 4175821 |
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Pareto optimality for nonlinear infinite dimensional control systems (English)
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1990
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Summary: We establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice. An example is also presented in detail. Our result extends earlier ones obtained by \textit{L. Cesari} and \textit{M. B. Suryanarayana} [Nonlinear Anal., Theory Methods Appl. 2, 225-233 (1978; Zbl 0383.49003)].
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Pareto efficient points
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mild solution
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evolution operator
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orientor field
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nonlinear parabolic equation
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Pareto optimal solutions
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infinite dimensional control systems
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Banach lattice
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0.91340244
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0.9131497
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0.9098034
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0.9093913
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0.90554225
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