Optimal control of a system governed by Volterra integral equations

DOI10.1007/s13370-014-0270-yzbMath1322.49007OpenAlexW1978040291MaRDI QIDQ497048

Reza Dehghan, Mohammad Keyanpour

Publication date: 23 September 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0270-y

zbMATH Keywords

optimal controllinear programmingdifferential equationsVolterra integral equationsmeasure theory

Mathematics Subject Classification ID

Linear programming (90C05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Length, area, volume, other geometric measure theory (28A75) Volterra integral equations (45D05) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Cites Work

• Wing drag minimization
• Optimal control of the multidimensional diffusion equation
• Existence of optimal control without convexity and a bang-bang theorem for linear Volterra equations
• The global control of nonlinear elliptic equations
• A new method for optimal control of Volterra integral equations
• Optimal control of Volterra equations with impulses
• On some optimal control problems governed by a state equation with memory
• Iterative schemes for optimal control of Volterra integral equations
• The global control of a nonlinear wave equation
• An almost optimal control design method for nonlinear time-delay systems
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