Sensitivity of Optimal Solutions to Control Problems for Second Order Evolution Subdifferential Inclusions

Journal Article · Mon Jun 15 04:00:00 EDT 2015 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-014-9262-4· OSTI ID:22722867

Bartosz, Krzysztof; Denkowski, Zdzisław; Kalita, Piotr ^[1]

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1. Jagiellonian University, Institute of Computer Science, Faculty of Mathematics and Computer Science (Poland)

In this paper the sensitivity of optimal solutions to control problems described by second order evolution subdifferential inclusions under perturbations of state relations and of cost functionals is investigated. First we establish a new existence result for a class of such inclusions. Then, based on the theory of sequential Γ-convergence we recall the abstract scheme concerning convergence of minimal values and minimizers. The abstract scheme works provided we can establish two properties: the Kuratowski convergence of solution sets for the state relations and some complementary Γ-convergence of the cost functionals. Then these two properties are implemented in the considered case.

• OSTI ID: 22722867
• Journal Information: Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 71; ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTROL
CONVERGENCE
COST
DISTURBANCES
EVOLUTION EQUATIONS
FUNCTIONALS
MATHEMATICAL SOLUTIONS