A method of ensuring the stability of the aerospace defense control system
by using its topological redundancy
I. E. Afonin1
1Krasnodar Higher Military Aviation School of Pilots.
DOI 10.24412/2410-9916-2026-3-135-159
Full text
XML JATSAbstract
Relevance. The urgency of increasing the stability of the aerospace defense system is due to the increasing military and political tension between the Russian Federation and the countries of the collective West. In case of escalation of tension into an armed conflict, the United States has developed the operational and strategic concept of a "Prompt Global Strike" (PGS), which involves a rapid simultaneous strike of a large number of means of aerospace attack means (ASAM) on the most important administrative and military facilities of our country. At the same time, the first echelon of the PGS will consist of ASAM focused on defeating elements of the aerospace defense system in order to reduce its effectiveness. That is, the task of increasing the stability of the aerospace defense system as a whole, and its control system, in particular, in the conditions of a first-echelon PGS strike is urgent. The purpose of the paper is to develop a method for ensuring the stability of the aerospace defense control system by using its topological redundancy. The novelty of the developed method, which distinguishes it from well-known works, is: taking into account the complex structure of the warring parties (the aerospace defense system -- ASAM), which include a control subsystem, a subsystem for reconnaissance and target designation, a strike subsystem and a subsystem for electronic suppression; the possibility of adapting the aerospace defense control system to the evolving operational and tactical situation conducting military operations; more efficient management of the topological resource of a special--purpose data transmission network, namely, the use of highly redundant topological structures for traffic routing, as well as maneuvering traffic transmission routes within the network. The method is applicable to any "absorbing" mathematical algorithm for finding shortest paths and is based on additional operations that are included in existing mathematical algorithms for finding shortest paths and allow expanding the functionality of these algorithms to solve the problem of finding an ordered set of backup information transmission paths. Practical significance. The proposed method, being used to improve the routing protocols of a special-purpose data transmission network, makes it possible not to interrupt traffic transmission during the formation of a new tree of shortest paths in the network and thereby increases the stability of the aerospace defense control system.
Key words
conflict, stability, means of aerospace attack, control system, aerospace defense, fire damage, electronic suppression, routing, data transmission network, routing protocol, topology.
Reference for citation
Afonin I. E. A method of ensuring the stability of the aerospace defense control system by using its topological redundancy. Systems of Control, Communication and Security, 2026, no. 3, pp. 135-159. DOI: 10.24412/2410-9916-2026-3-135-159 (in Russian).
References
1. Afonin I. E., Makarenko S. I., Mikhailov R. L. Bystryj globalnyj udar: retrospektivnyj analiz koncepcii, veroyatnyj scenarij naneseniya, sostav sil i sredstv, posledstviya i prioritetnye meropriyatiya po protivodejstviyu. Monografiya [A prompt global strike: a retrospective analysis of the concept, the likely scenario of the application, the composition of additional funds, consequences and priority measures to counteract. Monograph]. Saint Petersburg, Naukoemkie Tehnologii Publ., 2022. 174 p. (in Russian).
2. Afonin I. E., Makarenko S. I., Petrov S.V. Descriptive model of intelligence systems used to detection the elements of an aerospace defense system and target designation when aerospace attack means are doing prompt global strike. Systems of Control, Communication and Security, 2021, no. 1, pp. 190-214 (in Russian).
3. Afonin I. E., Makarenko S. I., Petrov S. V. Descriptive model of the electronic warfare subsystem as part aerospace attack means used to suppression elements of an aerospace defense system. Systems of Control, Communication and Security, 2021, no. 2, pp. 76-95 (in Russian).
4. Afonin I. E., Makarenko S. I., Petrov S. V., Privalov A. A. Analysis of combat experience as groups of unmanned aerial vehicles are used to defeat anti-aircraft missile means of the air defense system in Syria, Libya and Nagorno-Karabakh wars. Systems of Control, Communication and Security, 2020, no. 4, pp. 163-191 (in Russian).
5. Afonin I. E., Makarenko S. I., Mitrofanov D. V. Analysis of the concept of "Prompt global strike" of air-space attack means and substantiation of prospective directions of air-space defense system development in the arctic in the interest of defense. Aerospace forces. Theory and practice, 2020, no. 15, pp. 75-87. (in Russian).
6. Makarenko S. I., Kovalskiy A. A., Afonin I. E. Justification of Perspective Directions of Development of the Russian Federation's Anti-Space Defense System in the Interests of Timely Opening and Repulse the Aerospace Attack Means "Prompt Global Strike". Aerospace forces. Theory and practice, 2020, vol. 16, pp. 99-115 (in Russian).
7. Afonin I. E., Makarenko S. I., Mikhailov R. L. Descriptive model of combat potentials of sides in the conflict between the aerospace defense system and the aerospace attack means. Systems of Control, Communication and Security, 2022, no. 3, pp. 41-66 (in Russian).
8. Afonin I. E., Petrov S. V., Makarenko S. I. Transition to the adaptive network structure of the aerospace defense control system as one of the main ways for increase of its stability. Aerospace forces. Theory and practice, 2021, no. 19, pp. 159-178 (in Russian).
9. Makarenko S. I., Afonin I. E., Kopichev O. S., Mamonchikova A. S. The general Lanchester model defining multilateral conflicts. Automation of Control Processes, 2021, no. 2, pp. 66-76 (in Russian).
10. Afonin I. E., Makarenko S. I., Petrov S. V. Model for assessing the stability of an aerospace defense control system in conflict with aerospace attack means. Systems of Control, Communication and Security, 2023, no. 3, pp. 227-266 (in Russian).
11. Afonin I. E., Makarenko S. I., Mikhailov R. L. Aerospace Attack Means by Leading Foreign Countries. Part 1. Intercontinental Ballistic Missiles. Systems of Control, Communication and Security, 2024, no. 1, pp. 138-190 (in Russian).
12. Makarenko S. I., Afonin I. E. Modeling of aviation combat operations and evaluation of their effectiveness -- analysis of papers, models and actual research directions. Systems of Control, Communication and Security, 2024, no. 3, pp. 78-125 (in Russian).
13. Afonin I. E., Makarenko S. I., Mikhailov R. L., Kupriyanov N. A., Potapov A. A. Aerospace Attack Means by Leading Foreign Countries. Part 2. Submarine-Launched Ballistic Missile. Systems of Control, Communication and Security, 2024, no. 4, pp. 223-286 (in Russian).
14. Afonin I. E. Сonceptual model of the conflict of the aerospace defense system and aerospace attack means. Systems of Control, Communication and Security, 2025, no. 3, pp. 1-34 (in Russian).
15. Afonin I. E., Disenov А. А., Cherepanov D. A., Makarenko S. I., Mikhailov R. L. Aerospace Attack Means by Leading Foreign Countries. Part 3. Intermediate-Range Ballistic Missile. Systems of Control, Communication and Security, 2025, no. 3, pp. 170-215 (in Russian).
16. Achasov O. B., Buravlev A. I. Analiticheskaya model' ocenki effektivnosti vozdushno-kosmicheskoj oborony v usloviyah globalnogo udara vysokotochnym oruzhiem [An analytical model for evaluating the effectiveness of aerospace defense in the context of a global strike with precision weapons]. Armament and Economics, 2021, vol. 27, no. 2, pp. 10-20 (in Russian).
17. Krinickij Yu. VKO Rossii: priznaki budushchej sistemy [Russian aerospace defense: signs of a future system]. Vozdushno-kosmicheskaya oborona, 2012, no. 2. Available at: https://militaryarticle.vibrokatok.by/voenno-kosmicheskaya-oborona/2012/12688-vko-rossii-priznaki-budushhej-sistemy (accessed 16 May 2026) (in Russian).
18. Chel'cov B. Sistema VKO Rossii est' li u nee budushchee [Does the Russian aerospace defense system have a future?]. Vozdushno-kosmicheskaya oborona, 2003, no. 3. Available at: https://militaryarticle.vibrokatok.by/voenno-kosmicheskaya-oborona/2003/12245-sistema-vko-rossii-est-li-u-nee-budushhee (accessed 16 May 2026) (in Russian).
19. Chel'cov B. Vozdushno-kosmicheskoj oborone -- adekvatnoe otrazhenie v Voennoj doktrine Rossii [Aerospace defense is an adequate reflection in Russia's Military Doctrine]. Rossijskoe voennoe obozrenie, 2007, vol. 39, no. 4. Available at: http://www.grinchevskiy.ru/rvo/042007/vozdushno-kosmicheskoy-oborone.php (accessed 16 May 2026) (in Russian).
20. Mihajlov A. Kak stroit' VKO v sovremennyh usloviyah [How to build aerospace defense in modern conditions]. Vozdushno-kosmicheskaya oborona, 2010, no. 5. Available at: https://militaryarticle.vibrokatok.by/voenno-kosmicheskaya-oborona/2010/12605-kak-stroit-vko-v-sovremennyh-uslovijah (accessed 16 May 2026) (in Russian).
21. Yagol'nikov S. V. Problemy sozdaniya tekhnicheskoj osnovy vozdushno-kosmicheskoj oborony strany i puti ih resheniya [Problems of creating a technical basis for the country's aerospace defense and ways to solve them]. Akademiya voennyh nauk Rossijskoj Federacii. Available at: https://avnrf.ru/index.php/pravila-priema/proekty/72-novosti-sajta/629-problemy-sozdaniya-tekhnicheskoj-osnovy-vozdushno-kosmicheskoj-oborony-strany-i-puti-ikh-resheniya (accessed 16 May 2026) (in Russian).
22. Palicyn A. B., Zрilenko D. B. Analiz tradicionnyh i perspektivnyh zadach sistemy vozdushno-kosmicheskoj oborony Rossii: problemy i puti ih resheniya [Analysis of traditional and promising tasks of the Russian aerospace defense system: problems and ways to solve them]. Military Thought, 2020, no. 9, pp. 6-17 in Russian).
23. Dronov S. V., Harin S. V. Problemnye voprosy obespecheniya ustojchivosti funkcionirovaniya sistemy upravleniya istrebitel'noj aviacii i puti ih resheniya [Problematic issues of ensuring the stability of the fighter aviation control system and ways to solve them]. Military Thought, 2023, no. 8, pp. 71-78 in Russian).
24. Makarenko S. I. Convergence Time of IGP Routing Protocol. Systems of Control, Communication and Security, 2015, no. 2, pp. 45-98. Available at: http://sccs.intelgr.com/archive/2015-02/03-Makarenko.pdf (accessed 21 May 2018) (in Russian).
25. Makarenko S. I., Afanasev O. V., Baranov I. A., Samofalov D. V. Experimental analysis of the network reaction and the routing effects under conditions of noise-to-signal ratio dynamic changes. Journal of Radio Electronics, 2014, no. 4, pp. 2. Available at: http://jre.cplire.ru/jre/apr16/4/text.pdf (accessed 21 May 2026) (in Russian).
26. Egunov M. M., Shuvalov V. P. Analiz strukturnoi nadezhnosti transportnoi seti [The Analysis of Structural Reliability of Traffic Nets]. Vestnik SibGUTY, 2012, no. 1, pp. 54-60. (in Russian).
27. Gryzunov V. V. Otsenivanie zhivuchesti neodnorodnykh struktur [The Estimation of Nonuniform Structures` Reliability]. Vestnik SibGUTY, 2011, no. 1, pp. 28-36. (in Russian).
28. Fokin V. G. Opticheskie sistemy peredachi i transportnye seti [Optical Systems of Communication and Transport Networks], Moscow, Jeko-Trendz Publ., 2008. 271 p. (in Russian).
29. Kuziurin N. N., Fomin S. A. Pokrytie grafov tsiklami i bystroe vosstanovlenie optovolokonnykh setei [Covering graphs by cycles and quick restoration of fiber optic networks]. Proceedings of the Institute for System Programming of the RAS, 2004, no. 5, pp. 249-268. (in Russian).
30. Makarenko S. I. Stability method of telecommunication network with using topological redundancy. Systems of Control, Communication and Security, 2018, no. 3, pp. 14--30. (in Russian).
31. Yen J. Y. Finding the k shortest loopless paths in a network. Management Science, 1971, vol. 17, no. 11, pp. 712-716. (in English).
32. Ardon M. T., Malik N. R. A Recursive Algorithm for Generating Circuits and Related Subgraphs. 5th Asilomar Conference on Circuits and Systems, 1971, pp. 279-284. (in English).
33. Aihara K. Approach to Enumerating Elementary Paths and Cutsets by Gaussian Elimination Method. Electronics & Communications in Japan, 1975, vol. 58, no. 1, pp. 1-10. (in English).
34. Ahuja R. K. Faster algorithms for the shortest path problem. Journal of the ACM (JACM), 1990, vol. 37, no. 2, pp. 213-223. (in English).
35. Anily S., Hassin R. Ranking the best binary trees. SIAM Journal on Computing, 1989, vol. 18, no. 5, pp. 882-892. (in English).
36. Eppstein D. Finding the k shortest paths. SIAM Journal on computing, 1998, vol. 28, no. 2, pp. 652-673. (in English).
37. Althofer I. On the K-best mode in computer chess: measuring the similarity of move proposals. ICGA Journal, 1997, vol. 20, no. 3, pp. 152-165. (in English).
38. Aljazzar H. Leue S. K*: A heuristic search algorithm for finding the k shortest paths. Artificial Intelligence, 2011, vol. 175, no. 18, pp. 2129-2154. (in English).
39. Nizharadze T. Z. Razrabotka i issledovanie modeli algoritma dinamicheskoi marshrutizatsii dlia setei GMPL. Diss. kand. tehn. nauk [The Model of Dynamic Routing Algorithm for GMPLS Networks, Research and Development Ph.D. Tesis]. Vologda, 2007. 161 p. (in Russian).
40. Gromov Ju. Ju., Drachev V. O., Nabatov K. A., Ivanova O. G. Sintez i analiz zhivuchesti setevyh sistem: monografija [Synthesis and Analysis Net Systems Reliability]. Moscow, Mashinostroenie-1 Publ., 2007, 152 p. (in Russian).
41. Dadonov A. G., Lande D. V. Zhivuchest' informatsionnykh sistem [Survivability of the Information Systems]. Kiev, Naukova Dumka Publ., 2011. 256 p. (in Russian).
42. Popkov V. K. Matematicheskie modeli sviaznosti [Mathematical Models of Connectivity]. Novosibirsk, Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences, 2006. 460 p. (in Russian).
43. Popkov V. K., Blukke V. P., Dvorkin A. B. Modeli analiza ustoichivosti i zhivuchesti informatsionnykh setei [Models for Analysis of Stability and Reliability of Telecommunication Networks]. Problemy informatiki, 2009, no. 4, pp. 63--78 (in Russian).
44. Korjachko V. P., Perepelkin D. A. Analiz i proektirovanie marshrutov peredachi v korporativnyh setiah [The Analysis and Designing of Routes at Transmission in Corporate Networks]. Moscow, Goriachaia Liniia - Telecom Publ., 2012, 236 p. (in Russian).
45. Koriachko V. P., Perepelkin D. A. Analiz i proektirovanie marshrutov peredachi dannykh v korporativnykh setiakh [Analysis and design of routes of transmission of data in corporate networks]. Moscow, Goriachaia liniia -- Telekom Publ., 2012. 236 p. (in Russian).
46. Perepelkin D. A. Dynamic Corporate Network Structure and Communication Links Loading Formation Based on Routes Pairs Permutations Data. Informatsionnye tekhnologii, 2014, no. 4, pp. 52-60 (in Russian).
47. Meikshan V. I. Analysis of Equipment Faults Influence on Performance of Multiservice Network with Adaptive Routing. Proceedings of the Russian higher school academy of sciences. 2010, vol. 15, no 2, pp. 69-80 (in Russian).
48. Mikhailov R. L. Pomekhozashchishchennost' transportnykh setei sviazi spetsial'nogo naznacheniia. Monografiia [Noise immunity of transport networks for special purposes. Monograph]. Cherepovets, The Cherepovets higher military engineering school of radio electronics, 2016. 128 p. (in Russian).
49. Mikhailov R. L. Routing models and algorithms of transport terrestrial-cosmic military network. Systems of Control, Communication and Security, 2015, no. 3, pp. 52-82. Available at: http://sccs.intelgr.com/archive/2015-03/04-Mikhailov.pdf (accessed 5 June 2026) (in Russian).
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