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Journal Science Intensive Technologies №6 for 2016 г.
Article in number:
Method for estimation of indexes of structural stability and safety function of nonlinear autonomous dynamical systems
Authors:
N.A. Severtsev - Dr. Sc. (Eng.), Professor, Head of Department , FRC «Computer Science and Control» RAS (Moscow). E-mail: wcan@ccas.ru
A.N. Katulev - Dr. Sc. (Eng.), Professor
A.V. Betskov - Dr. Sc. (Eng.), Associate Professor, Management Academy of the Ministry of the Interior of Russia. E-mail: abckov@mail.ru
Abstract:
To extension of Andronov-Pontryagin-s theorem by structural stability dynamical systems in this article principles are elaborated for definition of indexes for safety of function of nonlinear autonomous dynamic systems of different fixing which regarding to systems Hamilton-s type. Method is created for estimation these indexes.
Pages: 30-34
References
- Andronov A.A., Pontrjagin L.S. Bolshie sistemy. DAN SSSR. T. 14. 1937.
- Kasti Dzh. Bolshie sistemy. Svjaznost, slozhnost i katastrofy. M.: Mir. 1982.
- Kolmogorov A.N., Fomin S.V. EHlementy teorii funkcijj i funkcionalnogo analiza M.: Nauka. 1988.
- Gilmor R. Prikladnaja teorija katastrof. M.: Mir. T. 2. 1984. (Gilmore R. Catastrophe theory for scientists and engineers. A Willey-Intersclence Publication, John Wiley and Sons, New-York-Chichester-Brislane-Toronto. 1981).
- Alekseev V.M., Tikhomirov V.M., Fomin S.V. Optimalnoe upravlenie. M.: Nauka. 1979.
- Severcev N.A., Katulev A.N., Beckov A.V. Strukturnaja ustojjchivost i bezopasnost raboty nelinejjnykh avtonomnykh dinamicheskikh sistem. CHast 2. Algoritm i rezultaty ocenki // Naukoemkie tekhnologii. 2016. № 6. S. 35−38.