Algorithm and results of estimation for structural stability and safety function of nonlinear autonomous dynamical systems
- 1 Dr. Sc. (Eng.), Professor, Head of Department , FRC «Computer Science and Control» RAS (Moscow)
- 2 Dr. Sc. (Eng.), Professor
- 3 Dr. Sc. (Eng.), Associate Professor, Management Academy of the Ministry of the Interior of Russia
Abstract
On the basis of elaborated authors theorems [1] algorithm of estimation for indexes of structural stability of dynamic systems is stated. Results of investigation for indexes are given. The systems are described by systems of ordinary differential equations or Wolterra-s nonlinear integral second kind and also nonlinear equations with particular derivatives, which are reduced to systems of ordinary differential equations.
How to cite
Северцев Н.А., Катулев А.Н., Бецков А.В. Структурная устойчивость и безопасность работы нелинейных автономных динамических систем. Часть 2. Алгоритм и результаты оценки // Наукоемкие технологии. 2016. № 6. С. 35–38.
References
- Severcev N.A., Katulev A.N., Beckov A.V. Strukturnaja ustojjchivost i bezopasnost raboty nelinejjnykh avtonomnykh dinamicheskikh sistem. CHast 1. Metod ocenki pokazatelejj // Naukoemkie tekhnologii. 2016. № 6. S. 30−34.
- Gantmakher F.R. Teorija matric. M.: Nauka. 1966.
- Volterra V. Matematicheskaja teorija borby za sushhestvovanie. M.: Nauka. 1976.
- 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).
