Existence of optimal solutions to Lagrange problems for Roesser type systems of the first and fractional orders

DOI10.1016/j.amc.2015.05.142zbMath1410.49002OpenAlexW859131233MaRDI QIDQ669421

Rafał Kamocki, Marek Majewski, Dariusz Idczak, Stanislaw Walczak

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.142

zbMATH Keywords

existence of optimal solutionsLagrange type cost functionalpartial control system of fractional orderRiemann-Liouville partial derivativesRoesser type system

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

• On the existence of optimal solutions to fractional optimal control problems
• The existence of optimal controls
• Existence, uniqueness, and stability of the solution of one class of controlled dynamic systems that describe chemical processes
• Optimal control theory
• On the existence of a solution for some distributed optimal control hyperbolic system
• Optimal control of a continuous \(n\)-D Roesser model
• Existence of optimal solutions to Lagrange problem for a fractional nonlinear control system with Riemann-Liouville derivative
• Fractional Roesser problem and its optimization
• On Certain Questions in the Theory of Optimal Control
• An Introduction to Optimal Control Theory
• Closure, Lower Closure, and Semicontinuity Theorems in Optimal Control
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