System analysis of mathematical task. Modeling tasks
Abstract
The results of system analysis of the categories: <system>→<model>, <task>→<solution>, аnd also <aim>→<means> are stated. The models of linear static and dynamic systems act as an object of research. Various kinds of problem definitions which arise out of practical applications are considered. Conducted system analysis of tasks allows to systematize program-methodological and program-technical means of their solution on computer at wider application. The technology and research system as networks of connected elements, where network communication is determined as a structure, are considered
Keywords
elements; relations; structure; “input – output” system; interaction model; graph of signal flows; system analysis and approach; task; direct and indirect tasks
References
- Tymchenko, A. А. (2017) System analysis of processes and models of interconnections and interactions. Linear static systems. Visnyk Cherkaskogo derzhavnogo tehnologichnogo universitetu. Seria: Tehnichni nauky, № 1, pp. 111-117.
- Tymchenko, A. А. (2017) System analysis of processes and models of interconnections and interactions. Linear dynamic systems. Visnyk Cherkaskogo derzhavnogo tehnologichnogo universitetu. Seria: Tehnichni nauky, № 3, pp. 127-128.
- Tymchenko, A. А. (2012) System research in science and technology. Part V. Mathematical modeling. System approach. System analysis of models and methods of their construction. Cherkasy: ChDTU, 55 p (Visnyk Cherkaskogo derzhavnogo tehnologichnogo universitetu. Seria: Tehnichni nauky).
- Tymchenko, A. А. (2010) Evolutionary definition of a complex system. Visnyk Cherkaskogo derzhavnogo tehnologichnogo universitetu. Seria: Tehnichni nauky, № 1, pp. 105–110.
- Hetmantsev, V. D. (2011) Linear algebra and linear programming. Kyiv: Lybid, 256 p..
- Ganteev, A. V, Yakymova, A. S, Bosov, A.V. (2010) Ordinary differential equations in examples and tasks. Moskow: Publishing house MAI, 380 p..
- A complex of programs of factorization, identification and forecasting of characteristics of complex systems "FACTOR" (2015). Kyiv: IK im. V. M. Glushkova AN USSR, 2 p..
- Dyakonov, V. G. (2010) Mathematica 5.1; 5.2; 6.0. Programming and mathematical calculations. DMK Press, 576 p..
- Tymchenko, A. А. (2016) System research in science and technology. Part ІІ. Technology of scientific research. Cherkasy: ChDTU, 68 p..
- Tymchenko, A. А. (2015) System approach to scientific research (stages of development of scientific and technical task). Part III. Visnyk Cherkaskogo derzhavnogo tehnologichnogo universitetu. Seria: Tehnichni nauky, № 4, pp. 145-151.