Article or book title, author's surname, DOI

Method for estimation of indexes of structural stability and safety function of nonlinear autonomous dynamical systems

N.A. Severtsev1, A.N. Katulev2, A.V. Betskov3

research article Pages: 30-34

  1. 1 Dr. Sc. (Eng.), Professor, Head of Department , FRC «Computer Science and Control» RAS (Moscow)
  2. 2 Dr. Sc. (Eng.), Professor
  3. 3 Dr. Sc. (Eng.), Associate Professor, Management Academy of the Ministry of the Interior of Russia

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.

How to cite

Северцев Н.А., Катулев А.Н., Бецков А.В. Структурная устойчивость и безопасность работы нелинейных автономных динамических систем. Часть 1. Метод оценки показателей // Наукоемкие технологии. 2016. № 6. С. 30–34.

References

 

  1. Andronov A.A., Pontrjagin L.S. Bolshie sistemy. DAN SSSR. T. 14. 1937.
  2. Kasti Dzh. Bolshie sistemy. Svjaznost, slozhnost i katastrofy. M.: Mir. 1982.
  3. Kolmogorov A.N., Fomin S.V. EHlementy teorii funkcijj i funkcionalnogo analiza M.: Nauka. 1988.
  4. 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).
  5. Alekseev V.M., Tikhomirov V.M., Fomin S.V. Optimalnoe upravlenie. M.: Nauka. 1979.
  6. 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.