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

Dariusz Idczak, Rafał Kamocki, Marek Majewski and Stanisław Walczak

Applied Mathematics and Computation, 2015, vol. 266, issue C, 809-819

Abstract: In the paper, we study existence of optimal solutions to Lagrange problems governed by partial Roesser type systems of order (α, β) ∈ (0, 1] × (0, 1]. We consider different structures of the system and different sets of controls as well as different growth conditions imposed on integrand describing the cost functional.

Keywords: Riemann–Liouville partial derivatives; Partial control system of fractional order; Roesser type system; Lagrange type cost functional; Existence of optimal solutions (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:809-819

DOI: 10.1016/j.amc.2015.05.142

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