Optimal Control for an Elliptic System with Polygonal State Constraints
نویسندگان
چکیده
منابع مشابه
Optimal Control for an Elliptic System with Polygonal State Constraints
This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularity, is verified for the cases with and without Slater condition holding. For the numerical realization a semi-smooth Newton method is proposed for an appropriately chosen family of regularized problems. The asymptotic beha...
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This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularity, is verified for the cases with and without Slater condition holding. For the numerical realization a semi-smooth Newton method is proposed for an appropriately chosen family of regularized problems. The asymptotic beha...
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The semi-smooth Newton method for optimal control problems for systems of partial differential equations with polygonal constraints on the controls is developed. The Newton derivatives are characterized for the case of systems of dimension two, superlinear convergence is verified, and a simple proof-of-concept numerical example is provided.
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2010
ISSN: 0363-0129,1095-7138
DOI: 10.1137/090758155