Alimova, N. A.; Trushkov, V. V. Classification of kinetics of macrosystems by the type of optimal processes. (English. Russian original) Zbl 1155.49021 Autom. Remote Control 69, No. 4, 716-722 (2008); translation from Avtom. Telemekh. 2008, No. 4, 184-190 (2008). Summary: Conditions under which a solution of an extremal problem satisfies a predetermined requirement are obtained. The condition is used for problems of optimal processes in thermodynamics and economic macrosystems. MSC: 49N35 Optimal feedback synthesis 49K15 Optimality conditions for problems involving ordinary differential equations Keywords:optimal control problems; synthesis; necessary conditions of optimality × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Tsirlin, A.M., Metody optimizatsii v neobratimoi termodinamike i mikroekonomike (Optimization Methods in Irreversible Thermodynamics and Microeconomics), Moscow: Fizmatlit, 2003. [2] Kuznetsov, A.G., Rudenko, A.V., and Tsirlin, A.M., Optimal Control in Thermodynamic Systems with Terminal Capacity of Sources, Avtom. Telemekh., 1985, no. 6, pp. 56–62. · Zbl 0579.93037 [3] Tsirlin, A.M., Mironova, V.A., Amelkin, S.A., and Kazakov, V.A., Finite-Time Thermodynamics: Conditions of Minimal Dissipation for Thermodynamic Process with Given Rate, Phys. Rev. E, 1998, vol. 58, no. 1. [4] Trushkov, V.V., Obyknovennye differentsial’nye uravneniya (Ordinary Differential Equations), Pereslavl-Zalesskii: UGP, 2006 ( http://joker.botik.ru/:_trushkov ). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.