Approximate research methods of discrete inertial extreme control systems (ECS) of the step and gradient types, working in a noise environment; published in the journal "Automation and Computer Engineering" (1970), Proceedings of the universities "Instrument Engineering" (1970) and "Radio Physics" (1971).

Basic theory of extreme radio navigation systems (ERNS), based on the use of adaptive control principles and procedures of statistically optimal navigation signal processing; published in the monograph "Alekseev V.I., Korikov A.M., Polonnikov R.I., Tarasenko V. P. Extreme radio navigation. - M .: Science, Home Edition Sci. literature. - 1978. – 280 p. "and many articles.

Principles of ERNS were used to create the optimization theory of navigation and control systems, mobile objects (robots) under complete and incomplete information on the environment (results published in the article: " Transport Management robot when driving on the roads // Izv.AN USSR, Technical cybernetics -. 1981. - №1 -P.59-66 ", "Modeling the behavior of the mobile robot in unknown environment // Electronic modeling -. 1984 - Volume 6, number 4. – P. 84-89 ", etc.).

Correlation extremum principles formed the basis for the theory and practice of the machine vision system (MVS) for sensitization of industrial robots (results published in the monographs "Correlation-extreme visual sensor systems for robots – Tomsk: Publishing House of Tomsk State University, 1986. – 240 p. ", " Korikov A.M., Syryamkin V.I., Titov V.S. Correlation visual robot system -Tomsk: Radio and communication, Tomsk branch -1990.-264 p." and many articles).

The research results of ESC, ERNS and MVS were introduced not only for the customers of these systems for the creation of a special equipment, but also used for the optimization and automation of technological processes of welding and heat treatment of cutting tools (results published in the monograph "Friction welding and heat treatment of cutting tools - Tomsk: TSU Publishing House, 1980 -. 176 p.", the journal "Welding production, №3, 1975" and "Metallurgy and heat treatment of metals, №11,1976 and №9, 1978", etc.

Since 1984, I’ve been engaged in development of theoretical basis of adaptive, and in recent years, intelligent, automated data processing and control systems. In this area I have published more than 300 scientific papers, including 10 monographs. Most notable of these are written in collaboration with the staff of the Department of Automotive Control Systems (TUSUR):

- Methods of mathematical modeling of optimal and safe functioning of the adaptive mechatronic systems under conditions of incomplete information on the environment (results published in the monograph “Modeling of adaptive mechatronic systems – Tomsk: In-Spectrum - 2007 . – 292p.”; in articles “Optimality in problems of design and robot control // Automation and Remote control -. 2001. - №7 -. P.82-90”, “Once again on mechatronics as a science // Mechatronics, automation, management - 2011. - number 5 (122) – P.2 – 8”, etc.);

- Visual methods of Infocommunications (video communications) in the man-machine computer systems (results published in the monograph "Korikov A.M., Krivtsov O.A. System Man-Computer: towards the creation of human-oriented interface – Tomsk: The spectrum, 2010 – 200 p.", articles "Krivtsov O.A., Korikov A.M. Human head tracking on the video frames: classification and selection // Information technologies, 2010. - №9 - P. 13-19 ", "Krivtsov O.A., Korikov A.M. Tracking human heads on the video frames: the state of the problem // Information technologies, 2010. - №7 – P. 2-9", "Korikov A.M., Mitsel A.A., Romanenko V.V. In development of e-learning technologies from the standpoint of computer science as a science of infocommunications // Education and Informatics, 2010 -. №8 - P. 40-46 ", etc.).