# zbMATH — the first resource for mathematics

Basic onboard real-time advisory system for a duel situation of distant air fight. (English. Russian original) Zbl 1172.93311
J. Comput. Syst. Sci. Int. 47, No. 4, 552-569 (2008); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2008, No. 4, 59-75 (2008).
Summary: The structure of the knowledge base of an onboard real-time advisory system for distant air fight $$1\times1$$ in which current information on the external situation is used for activation of one of the problem subsituations chosen from the total set of these subsituations is presented. Based on the analysis of the subject domain of distant air fight $$1 \times 1$$, four problem subsituations are formed: the problem subsituation no. 1 “taking the tactically advantageous position”; the problem subsituation no. 2 “attack”, the problem subsituation no. 3 “defense with attack”, and the problem subsituation no. 4 “defense”. For each of these subsituations on the basis of virtual simulation of the proposed development of the air fight and the corresponding set of production rules, the recommendations to the crew on rational method of its resolution are developed. The results of mathematical simulation of the operation of the onboard real-time advisory system for distant air fight $$1\times1$$ in the problem subsituation no. 2 are presented.

##### MSC:
 93A30 Mathematical modelling of systems (MSC2010) 91A05 2-person games 93C85 Automated systems (robots, etc.) in control theory
Full Text:
##### References:
 [1] J. Shinar, A. W. Siegel, and Y. I. Gold, ”A Medium Range Combat Game Solution by a Pilot Advisory System,” AIAA J., 89–3630 (1989). [2] V. D. Romanova, B. E. Fedunov, and N. D. Yunevich, ”Research Prototype of On-Board Real-Time Advisory System ”Duel”,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, (1995) [Comp. Syst. Sci. 34 (5), (1995)]. [3] Brydon, Stanger, ”Fundamentals of MMI for Future Computer Aided Aircraft,” in Proceedings AGARD Conference, 404 (1989). [4] J. Shinar, ”On Mathematical Modeling of Air Combat,” in Proceedings of International Conference on Mathematical Modeling, St. Louis, USA, 1987. [5] J. Shinar, A. W. Siegel, and Y. I. Gold, ”On the Analysis of a Complex Differential Game Using Artificial Intelligence Techniques,” in Proceedings of 27th IEEE Conference on Decision and Control, Austin, USA, 1988. [6] A. Davidovitz and J. Shinar, ”A Two-Target Game Model for Analysis of Air Combat with all Aspect Missiles”, in Proceedings 2nd International Symposium of Differential Game Application, Williamsburg, USA, 1986. · Zbl 0662.90103 [7] B. E. Fedunov, ”On-Board Real-time Advisory Expert Systems of Tactical Aircrafts of 5th Generation (Analytical Survey of Foreign Literature)”, ed. by Acad. E. A. Fedosov (2002). [8] B. E. Fedunov, ”Maximally Prompt Deceleration of Object Performing Controlled Motion under the Action of Forces of Aerodynamic Deceleration and Gravity,” Prikl. Mat. Mekh. 54(5) (1990). [9] M. A. Demkin and B. E. Fedunov, ”A Pursuit Problem in Three-Dimensional Gravitational Space with an Exponential Atmosphere,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, (2001) [Comp. Syst. Sci. 40 (5), 814–828 (2001)]. · Zbl 1083.49507 [10] H. H. Chin and G. H. Gable, ”An Application of Artificial Intelligence to Aircraft Weapon Delivery Systems,” in Proceedings of 4th AIAA Conference on Computers in Aerospace, 1983. [11] M. A. Demkin and B. E. Fedunov, ”On-Board Real-time Advisory Expert System ”Antimissile Maneuver”,” Tr. GosNIIAS. Ser. ”Voprosy Avioniki”, 2(16) (2005). [12] Yu. E. Tishchenko and B. E. Fedunov, ”Optimal Instants for Missile Launching Missiles and Application of Jamming in a Duel Situation of Fighters,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, (2006) [Comp. Syst. Sci. 45 (5), 772–783 (2006)]. · Zbl 1263.93241 [13] B. E. Fedunov, ”Problems of the Development of On-Board Real-Time Advisory Expert Systems for Antropocentral Objects,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 6, (1996) [Comp. Syst. Sci. 35 (5), 816–827 (1996)]. · Zbl 0902.68194 [14] B. E. Fedunov, ”Constructive Semantics of Anthropocentric Systems for Development and Analysis of Specifications for Onboard Intelligent Systems,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, (1998) [Comp. Syst. Sci. 37 (5), 796–806 (1998)]. · Zbl 1066.68554 [15] B. E. Fedunov, ”Semantic Structure of the Knowledge Base for Onboard Real-Time Advisory Expert Systems,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 1, (2002) [Comp. Syst. Sci. 41 (1), 107–114 (2002)]. [16] M. A. Demkin, O. N. Pankratov, and B. E. Fedunov, ”Approximating Mathematical Model of ”air-to-air” Missile for Real-Time Calculation of Characteristic Flight Ranges,” Mekhatronika, No. 9 (2001). [17] FumiakiImado, ”Some Aspects of a Realistic Three-Dimensional Pursuit-Evasion Game,” J. Guidance, Control, Dynamics 16(2) (1993). [18] B. E. Fedunov, ”The Optimization Models for Taking the Decision in the Algorithmic and Indicational Support System Designing. Systems Analysis Modeling Simulation,” J. Mathem. Model. Simulat. in Syst. Analysis 18 19 (1995). [19] M. A. Demkin, D. V. Novakov, and B. E. Fedunov, ”The Structure of the On-Board Algorithm of Executing the Tactical Turn-Away Defensive Maneuver by an Aircraft,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, 827–840 (2002) [Comp. Syst. Sci. 41 (5), (2002)]. [20] M. A. Demkin, B. E. Fedunov, and A. D. Sharaborov, ”Trajectory Defense of an Aircraft against Air-to-Air Missiles that Attack from the Front Hemisphere,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 4, (2004) [Comp. Syst. Sci. 43 (4), 637–643 (2004)].
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.