Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Andreichenko K. P. On stability theory of autonomous angular stabilization system for combined dynamical systems. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 2, pp. 9-14. DOI: 10.18500/1816-9791-2013-13-2-2-9-14, EDN: RHABGX

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.05.2013
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Language: 
Russian
Heading: 
Computer Sciences
UDC: 
629.78
DOI: 
10.18500/1816-9791-2013-13-2-2-9-14
EDN: 
RHABGX

On stability theory of autonomous angular stabilization system for combined dynamical systems

Autors: 
Andreichenko Konstantin Petrovich, Moscow Aviation Institute (National Research University)
Abstract: 

Studied the effect on the stability of the longitudinal acceleration discretely-continuum model of single-channel angular stabilization system with of delayed argument. Methods of construction asymptotic stability areas and analysis of impulse transition functions are developed. The critical values of the longitudinal acceleration are defined. 

Key words: 
combined dynamical systems
stabilization systems
References: 
  1. Andreichenko D. K., Andreichenko K. P. On the theory of autonomous angular stabilization systems of missiles for salvo firing. J. of Computer and Systems Sciences Intern., 2009, vol. 48, no. 3, pp. 465–480. DOI: 10.1134/S1064230709030137.
  2. Andreichenko D. K., Andreichenko K. P. On the theory of stabilization of satellites having elastic rods. J. of Computer and Systems Sciences Intern., 2004, vol. 43, no. 6, pp. 973–986.
  3. Fletcher K. Chislennye metody na osnove metoda Galjorkina [Numerical methods based on the Galerkin method]. Moscow, Mir, 1988, 352 p.
  4. Cole J. D. Perturbation methods in applied mathematics. Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1968, 260 p. (Rus. ed.: Cole J. Metody vozmushhenij v prikladnoj matematike. Moscow, Mir, 1972, 274 p.)
  5. Andreichenko D. K., Andreichenko K. P. On the theory of hybrid dynamical systems. J. of Computer and Systems Sciences Intern., 2000, vol. 39, no. 3, pp. 383–398. 4
Received: 
19.11.2012
Accepted: 
12.04.2013
Published: 
31.05.2013
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