Abstract
The notion of inclusion of information systems is introduced. Application of this notion provides the possibility of modeling the third and fourth classes of complex information systems on the set of operational states.
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References
Pupkov, K.A. and Konkov, V.G., Intellektualnye sistemy (Initellectual Systems), Moscow: MSTU, 2003.
Grishin, Yu.P., and Kazarinov, Yu.M., Dinamicheskie sistemy ustoichivye k otkazam (Failure-Resistant Dynamical Systems) Moscow: Radio i Svyaz, 1985.
Romanov, V.P., Intellektualnye informatsionnye sistemy v ekonomike (Intellectual Information Systems in Economics), Tikhomirov, N.P., Ed., Moscow: Ekzamen, 2003.
Petrov, V.N., Informatsionnye sistemy (Information Systems), St. Petersburg: Piter, 2003.
Voinov, B.S., Informatsionnye tekhnologii i sistemy (Information Technologies and Systems), Nizhnii Novgorod: NGGU, 2001.
Kalman, R., Falb, P., and Arbib, M., Topics in Mathematical Systems Theory, New York: McGraw Hill, 1969.
Muromtsev, Yu.L., Lyapin, L.N., Groshev, V.N., Shamkin, V.N., Teoreticheskie osnovy isssledovaniya slozhnykh system s uchetom nadezhnosti (Theoretical Foundations of Investigation of Complex Systems Taking into Account Reliability), Moscow: MIChMB, 1987.
Muromtsev, Yu.L., Lyapin, L.N., and Popova, O.V., Modelirovanie i optimizatsiya tekhnicheskikh sistem (Simulation and Optimization of Technical Systems at Varying Operational States), Voronezh: VGU, 1992.
Aoki, M. Optimizatsya stokhasticheskikh sistem (Optimization of Stochastic Systems), Moscow: Nauka, 1971.
Kikuchi, N., Control Problems of Contingent Equation, Publ. RIMS Kyoto Univ. Ser A., 1969, vol. 3, no. 1, pp. 58–99.
Blagodatskikh, V.I., Some Results in Theory of Differential Inclusions, Summer School on Ordinary Differential Eequations, Brno, 1972, part 2, pp. 29–67.
Filipov A.F., Differentsiyalnye uravneniya (Differential Equations with Discontinuous Right-Hand Side), Moscow: Nauka, 1985.
Artemev V.V., Teoreticheskaya dinamika system so sluchainymi izmeneniyami struktury (Theory of Dynamical Systems with Stochastic Structure Variations), Minsk: Vyshya Schkola, 1979.
Vonem, V.M., Stochastic Differential Equations in Control Theory, Matematika: Sb. Perevodov, 1973, vol. 17, no. 4, pp. 82–114.
Kazakov, E.I. and Artemev, V.M., Optimizatsiya dinamicheskikh sistem sluchainoi struktury (Optimization of Dynamical Systems of a Stochastic Structure), Moscow: Nauka, 1980.
Zabello, L.E., On Controllability Theory of Linear Non-stationary Systems, Differentsialnye Uravneniya, 1973, vol. 9, no. 3, pp. 563–564.
Mishulina, O.A., Analysis of Stochastic Control Systems With Random Jump-Like Parameter Variation using Computers, Izv. Akad Nauk, Ser. Tekhn. Kibern. 1968, vol. 3, pp. 128–134.
Voronov, A.A., Vvedenie v dinamiku slozhnykh upravlyaemykh system (Introduction into Dynamics of Complex Controllable Systems), Moscow: Nauka, 1985.
Muromtsev, Yu.L., Determination of Limits of Reliability Indices of Complex Systems, Avtomat. Telemekh., 1977, vol. 9, pp. 177–190.
Additional information
Original Russian Text Yu.L. Muromtsev, V.M. Tyutyunnik, 2007, published in Nauchno-Tekhnicheskaya Informatsiya, Seriya 2, 2006, No. 12, pp. 8–11.
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Muromtsev, Y.L., Tyutyunnik, V.M. Application of inclusions for modeling of complex information processes and systems. Autom. Doc. Math. Linguist. 41, 17–22 (2007). https://doi.org/10.3103/S0005105507010049
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DOI: https://doi.org/10.3103/S0005105507010049