Optimal control problems for linear fractional-order systems defined by equations with Hadamard derivative

DOI10.1134/S1064562417050118zbMath1382.49019OpenAlexW2765286017MaRDI QIDQ679998

S. S. Postnov

Publication date: 22 January 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417050118

zbMATH Keywords

optimal controltime-optimal problemmoment methodHadamard derivativeminimum-norm controllinear fractional-order systems

Mathematics Subject Classification ID

Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (2)

On the dynamics of two-dimensional fractional linear control systems ⋮ Optimal control problems for certain linear fractional-order systems given by equations with Hilfer derivative

Cites Work

• Optimal control problem investigation for linear time-invariant systems of fractional order with lumped parameters described by equations with Riemann-Liouville derivative
• Optimal control problem for a linear stationary fractional order system in the form of a problem of moments: problem setting and a study
• Fractional-order systems and controls. Fundamentals and applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Pontryagin maximum principle for fractional ordinary optimal control problems
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