Functional differential continuous-discrete systems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 88-89.

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Linear functional differential systems with continuous and discrete times are considered. The formulations of general boundary value problems and control problems are given. Necessary and sufficient conditions of the solvability to the problems are obtained. It is shown that the systems under consideration are covered by the Theory of abstract functional differential equation by N. Azbelev and L. Rakhmatullina.
Keywords: functional differentail equations, continuous-discrete systems, boundary value problems, control problems.
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V. P. Maksimov. Functional differential continuous-discrete systems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 88-89. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a40/

[1] Azbelev N.V., Rakhmatullina L.F., “Theory of linear abstract functional differential equations and application”, Memoirs on Diff. Equations and Math. Phys., 8 (1996), 1–102 | MR

[2] Azbelev N.V., Maksimov V.P., Rakhmatullina L.F., Elementy sovremennoi teorii funktsionalno-differentsialnykh uravnenii. Metody i prilozheniya, Institut kompyuternykh issledovanii, M., 2002, 384 pp.

[3] De la Sen M., “On the controller synthesis for linear hybrid systems”, IMA Journal of Mathematical Control and Information, 18 (2001), 503–529 | DOI | MR | Zbl

[4] Agranovich G.A., “Some problems of discrete/continuous systems stabilization”, Functional Differential Equations, 10:1–2 (2003), 5–17 | MR | Zbl

[5] Marchenko V.M., Zachkevich Z., “Predstavlenie reshenii upravlyaemykh gibridnykh differentsialno-raznostnykh sistem”, Differentsialnye uravneniya, 45:12 (2009), 1775–1786 | MR | Zbl

[6] Maksimov V.P., Chadov A.L., “Gibridnye modeli v zadachakh ekonomicheskoi dinamiki”, Vestnik Permskogo universiteta. Ekonomika, 2011, no. 2(9), 13–23

[7] Maksimov V.P., Voprosy obschei teorii funktsionalno-differentsialnykh uravnenii, Permskii gos. un-t., Perm, 2003, 306 pp.

[8] Andrianov D.L., “Kraevye zadachi i zadachi upravleniya dlya lineinykh raznostnykh sistem s posledeistviem”, Izvestiya vuzov. Matematika, 1993, no. 5, 3–16

[9] Maksimov V.P., “Ob odnoi abstraktnoi zadache upravleniya”, Metody teorii funktsii i smezhnye problemy, tez. dokl. konferentsii, VGU, Voronezh, 2005, 154