NDLI: Optimal Control of Elliptic Differential Inclusions with Dirichlet and Neumann Boundary Conditions

Content Provider	Springer Nature Link
Author	Değer, Ö. Mahmudov, E. N.
Copyright Year	2011
Abstract	In this paper, we consider optimization Dirichlet and Neumann problems for differential inclusions in which the right-hand sides are governed by multivalued function (mapping), which depends not only of the unknown functions, but also on the first partial derivatives of these functions. This generalization is very important, and the results obtained cannot be deduced from the results of the first author considered earlier. Formulations of sufficient conditions are based on the discretization idea of the continuous problem and equivalence theorems. Thus in the form of the Euler–Lagrange inclusion, sufficient optimality conditions are derived; for this, locally adjoint mappings are used. In general, we establish necessary and sufficient conditions for the so-called discrete approximation problem on a uniform grid. These conditions take an intermediate place between discrete and continuous problems. The results are generalized to the multidimensional case with a second-order elliptic operator.
Ending Page	185
Page Count	23
Starting Page	163
File Format	PDF
ISSN	10792724
e-ISSN	15738698
Journal	Journal of Dynamical and Control Systems
Issue Number	2
Volume Number	17
Language	English
Publisher	Springer US
Publisher Date	2011-04-26
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Vibration, Dynamical Systems, Control Differential inclusions discrete approximation necessary and sufficient conditions Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Analysis Applications of Mathematics locally adjoint mapping Problems involving partial differential equations nonsmooth analysis
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Algebra and Number Theory Numerical Analysis

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