350 rub
Journal Science Intensive Technologies №6 for 2016 г.
Article in number:
Algorithm and results of estimation for 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:
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.
Pages: 35-38
References

 

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  2. Gantmakher F.R. Teorija matric. M.: Nauka. 1966.
  3. Volterra V. Matematicheskaja teorija borby za sushhestvovanie. M.: Nauka. 1976.
  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).