Existence of optimal solutions to Lagrange problems for Roesser type systems of the first and fractional orders
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摘要
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.
论文关键词：Riemann–Liouville partial derivatives,Partial control system of fractional order,Roesser type system,Lagrange type cost functional,Existence of optimal solutions
论文评审过程：Received 20 October 2014, Revised 2 April 2015, Accepted 28 May 2015, Available online 19 June 2015, Version of Record 19 June 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.05.142
