Distributed control problems for a class of degenerate semilinear evolution equations

DOI10.1016/J.CAM.2015.09.034zbMath1350.49004OpenAlexW2289441732MaRDI QIDQ329741

Marina Vasilyevna Plekhanova

Publication date: 21 October 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.034

zbMATH Keywords

optimal controlinitial-boundary value problemCauchy problemstrong solutiondistributed control systemsemilinear degenerate evolution equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Dynamical systems in control (37N35) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items (11)

DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE ⋮ Distributed control for semilinear equations with Gerasimov-Caputo derivatives ⋮ Unnamed Item ⋮ Optimal control problems for linear degenerate fractional equations ⋮ A Class of Semilinear Degenerate Equations with Fractional Lower Order Derivatives ⋮ Distributed Order Equations in Banach Spaces with Sectorial Operators ⋮ Strong Solutions of Semilinear Equations with Lower Fractional Derivatives ⋮ Start control problem for a class of degenerate equationswith lower order fractional derivatives ⋮ A Cauchy type problem for a degenerate equation with the Riemann-Liouville derivative in the sectorial case ⋮ Semilinear fractional-order evolution equations of Sobolev type in the sectorial case ⋮ Unnamed Item

Cites Work

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• On nonlocal solutions of semilinear equations of the Sobolev type
• Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor
• Stochastic maximum principle for nonlinear optimal control problem of switching systems
• Optimal control of Sobolev type linear equations
• On control of degenerate distributed systems
• On the existence and uniqueness of solutions of optimal control problems of linear distributed systems which are not solved with respect to the time derivative
• Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type

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