Dmitry Novikov



Belov M.V., Novikov D.A. Optimal Enterprise: Structures, Processes and Mathematics of Knowledge, Technology and Human Capital. ‑ Boca Raton: CRC Press, 2021.  344 p.

ISBN 9780367652432

In the modern world most gross product is created within Enterprise firms; project programs; state agencies; transnational corporations and their divisions, as well as various associations and compositions of all of the above entities. Enterprises being, on the one hand, complex, and, on the other hand, widespread systems, are in the focus of cybernetics, system theory, operations research, management sciences and many other fields of knowledge.

However, the complexity of the system obstructs the development of mathematically rigorous foundations for Enterprise control. Moreover, methods of operations research and related sciences, widely used in practice, provide optimization of constituents of an Enterprise, without modeling it as a whole system. But the optimization of parts does not lead to the optimality of the whole, and also the absence of top-down and holistic mathematical models of Enterprise contradicts the principle of holism and the system approach.

The approach in this book looks firstly at Enterprise Systems, and their essential aspects, as complex sociotechnical systems composed of integrated sets of structural and process models (Chapter 1 and 2). A uniform description of all the heterogeneous fields of the modern Enterprise (marketing, sales, manufacturing, HR, finance, etc.) is then made and the Enterprise Control Problem is posed as a top-down and holistic mathematical optimization problem (Chapter 3). Original models and methods of contract theory (Chapter 4), technology management (Chapter 5), human behavior and human capital (Chapter 6), complex activity and resource planning (Chapter 7) are developed to solve the problem. Structural, processes and mathematical models constitute Optimal Enterprise Control Framework (Chapter 8) that provides a practical solution to the Enterprise Control Problem.


   "Belov M.V., Novikov D.A. Models of Technologies""


Belov M.V., Novikov D.A. Models of Technologies. - Heidelberg: Springer, 2020. 113 p.

ISBN 978-3-030-31083-7

The methodology of complex activity is further elaborated with a set of interconnected mathematical models that describe the processes of technology design, adoption and use.

The technology of complex activity and its general models are considered in Chapter 1. The models of the processes of technology design and adoption are introduced in Chapter 2. The models of technology management are presented in Chapter 3. Finally, the analytical complexity and errors of solving technology design/optimization problems are estimated in Chapter 4.

This book is addressed to experts and researchers interested in the general principles of activity organization and control of complex organizational and technical systems.




Belov M.V., Novikov D.A. Methodology of Complex Activity: Foundations of Understanding and Modelling. ‑ Heidelberg: Springer, 2020. 290 p.

ISBN 978-3-030-48609-9

This book develops and describes a general methodology that can be applied to any complex human activity (activity with a non-trivial, multi-level internal structure).

The structural components of complex activities are considered, and their logical, cause-and-effect, and process structures are functionally described. Considerable attention is paid to organization and management, uncertainties, and the lifecycles of activities, as well as the actors, subject matter, resources, knowledge, and methods involved.  

Several typical examples are used throughout the text to illustrate the implementation of common approaches involving the functioning of work groups, organizational units, projects, and organizations in general: a retail bank, an aircraft manufacturer, a fire department, and a nuclear power plant. In addition, the book employs a system of connected technical models, in order to ensure that the results are of practical applicability for both experts on the ground and scholars engaged in research on the general principles of how activities (practical, scientific, etc.) are organized or on the management of socio-technical systems.



Ashimov A., Borovskiy Y., Novikov D., Sultanov B., Onalbekov M. Macroeconomic Analysis and Parametric Control of a Regional Economic Union. ‑ Heidelberg: Springer, 2020. 361 p.

ISBN 978-3-030-32204-5

This book is a further development of the theory of parametric control. It includes: numerical methods of testing (verification) of software implementation of mathematical models by assessing the stability of mappings defined by the model; sufficient conditions for the existence of the solutions of some types of problems of dynamic optimization; the existence of continuous dependence of optimal values of criteria on exogenous functions and parameters; and the existence of points of bifurcation of extremals of such problems.

It demonstrates that this theory offers a constructive methodology for middle-term forecasting, macroeconomic analysis and estimation of optimal values of economic characteristics on the basis of advanced global mathematical models, namely Computable General Equilibrium (CGE) Model, Dynamic Stochastic General Equilibrium (DSGE) Model, and Hybrid Econometric model. In addition, it includes conditions for the applicability of the computational experiments results, into practice.



Chkhartishvili A.G., Gubanov D.A., Novikov D.A. Social Networks: Models of Information Influence, Control and Confrontation. ‑ Heidelberg: Springer, 2019. 194 p.

ISBN 978-3-030-05429-8


This book surveys the well-known results and also presents a series of original results on the mathematical modeling of social networks, focusing on models of informational influence, control and confrontation. 

Online social networks are intended for communication, opinion exchange and information acquisition for their members, but recently, online social networks have been intensively used as the objects and means of informational control and an arena of informational confrontation. They have become a powerful informational influence tool, particularly for the manipulation of individuals, social groups and society as a whole, as well as a battlefield of information warfare (cyberwars). 

This book aimed at under- and postgraduate university students as well as experts in information technology and modeling of social systems and processes.






Breer V.V., Novikov D.A., Rogatkin A.D. Mob Control: Models of Threshold Collective Behavior. Heidelberg: Springer, 2017. 159 p.

ISBN 978-3-319-51864-0

The book is dedicated to mathematical models of mob control with threshold (conformity) collective decision-making of the agents.

Based on the analysis results of the interconnection between the micro- and macromodels of active network structures, the static (deterministic, stochastic and game-theoretic) and dynamic (discrete- and continuous-time) models of mob control are considered. Much attention is given to models of informational confrontation. Many results are applicable not only to mob control problems, but also to control problems arising in social groups, online social networks, etc.

The book is intended to the researchers and practitioners, as well as the undergraduate and postgraduate students, doctoral candidates specializing in the field of collective behavior modeling.





Novikov D.A. Cybernetics: from Past to Future. ‑ Heidelberg: Springer, 2016. 107 p.

ISBN 978-3319273969

This book is a concise navigator across the history of cybernetics, its state-of-the-art and prospects. The evolution of cybernetics (from N. Wiener to the present day) and the reasons of its ups and downs are presented. The correlation of cybernetics with the philosophy and methodology of control, as well as with system theory and systems analysis is clearly demonstrated.

The book presents a detailed analysis focusing on the modern trends of research in cybernetics. A new development stage of cybernetics (the so-called cybernetics 2.0) is discussed as a science on general regularities of systems organization and control. The author substantiates the topicality of elaborating a new branch of cybernetics, i.e. organization theory which studies an organization as a property, process and system.

The book is intended for theoreticians and practitioners, as well as for students, postgraduates and doctoral candidates. In the first place, the target audience includes tutors and lecturers preparing courses on cybernetics, control theory and systems science.





Game-Theoretic Models in Mathematical Ecology / Editors: V. Mazalov, D. Novikov, G. Ougolnitsky, L. Petrosyan. New York: Nova Science Publishers, 2015. 132 p.

ISBN 978-1-63483-489-6

The idea of this book is to demonstrate the tendency of modern research in mathematical ecology using the optimal control theory and game-theoretic methods. The book introduces the modelling of environmental systems through conceptual game-theoretic models, showing the importance of the equilibrium behavior under resource extraction. Using discrete and continuous models of biological and physical processes, the behavior of ecological-economic systems is represented by models with analytic or numerical solutions. A range of mathematical methods including analytic and approximate methods for equilibrium definition, cooperative and collective behavior determination are used to explore such models. The main feature of the presented investigations is characterized by time consistent, stabilized, collective and cooperative concepts in ecological-economic systems. This book is recommended for researchers and post-graduate students of management, economic and in the applied mathematics departments.







New Frontiers in Information and Production Systems Modeling and Analysis Incentive Mechanisms, Competence Management, Knowledge-based Production / Series Intelligent Systems Reference Library. Ed. by P. Rozewsky, D. Novikov, O. Zaikin, N. Bakhtadze. Berlin: Springer, 2016. 268 p. P. 35 ‑ 57.

ISBN 978-3-319-23337-6

This book demonstrates how to apply modern approaches to complex system control in practical applications involving knowledge-based systems. The dimensions of knowledge-based systems are extended by incorporating new perspectives from control theory, multimodal systems and simulation methods. 

The book is divided into three parts: theory, production system and information system applications. One of its main focuses is on an agent-based approach to complex system analysis. Moreover, specialized forms of knowledge-based systems (like e-learning, social network, and production systems) are introduced with a new formal approach to knowledge system modelling. 

The book, which offers a valuable resource for researchers engaged in complex system analysis, is the result of a unique cooperation between scientists from applied computer science (mainly from Poland) and leading system control theory researchers from the Russian Academy of Sciences Trapeznikov Institute of Control Sciences.




Novikov D., Chkhartishvili A. Reflexion and Control: Mathematical Models. London: CRC Press, 2014. 298 p.

ISBN 978-1138024731

This book is dedicated to modern approaches to mathematical modeling of reflexive processes in control. The authors consider reflexive games that describe the game-theoretical interaction of agents making decisions based on a hierarchy of beliefs regarding (1) essential parameters (informational reflexion), (2) decision principles used by opponents (strategic reflexion), (3) beliefs about beliefs, and so on. Informational and reflexive equilibria in reflexive games generalize a series of well-known equilibrium concepts in noncooperative games and models of collective behavior. These models allow posing and solving the problems of informational and reflexive control in organizational, economic, social and other systems, in military applications, etc. (the interested reader will find in the book over 30 examples of possible applications in these fields) and describing uniformly many psychological/sociological phenomena connected with reflexion, viz., implicit control, informational control via the mass media, reflexion in chess, art works, etc. The present book is intended for experts in decision making and control of systems of an interdisciplinary nature, as well as for undergraduates and postgraduates.






Macroeconomic Analysis and Parametric Control of a National Economy

Ashimov A., Sultanov B., Adilov Z., Borovskiy Y., Novikov D., Alshanov R., Ashimov As. Macroeconomic Analysis and Parametric Control of a National Economy. New York: Springer, 2013. 288 p.

ISBN: 978-1-4614-4459-6

This is a sequel to the book by Dr. A. Ashimov and his colleagues, Macroeconomic Analysis and Economic Policy Based on Parametric Control. The authors have expanded both the developed mathematical apparatus and the scope of problems and applications stemming from the practice of steering a national economy of a small country in the dynamic environment of the international economic order. The developed theoretical foundation is used in Chapter 1 to suggest a decision support system operating in the framework of state economic policy making. Chapter 2 presents various mathematical models built on the basis of the available statistical data and provides quality assessment of these models. Parametric control problems are being formulated on the basis of these models as problems of mathematical programming, and the obtained solutions are subjected to analyses and interpretations. This is demonstrated by the analysis of the effect of uncontrollable factors on the problem solutions. Chapter 3 is aimed at the modelling and analysis of cyclic phenomena in economics and their structural stability. Chapter 4 presents solutions of specific problems of national economy and analysis and interpretation of their solutions. In summary, the authors formulate comprehensive mathematical models of some critical mechanisms in micro economics previously known only on a qualitative level. They provide vigorous mathematical analysis of the models that justifies their applicability for the formulation of parametric control problems, and the existence of model-based solutions. The complexity of the resultant problems is addressed by the formulation of the appropriate algorithms. The described methodology leads to the development of computer-based decision support systems.






Novikov D. Control Methodology. New York: Nova Science Publishers, 2013. 76 p.

ISBN 978-1624179624


The book focuses on the basics of control methodology as the theory of control activity organization. This is done using the framework of systems analysis in the logic of modern (project-technological and knowledge-based) types of organizational culture. Consideration of the psychological, sociological, philosophical, ethical and aesthetical foundations of control methodology; characteristics, logical and temporal structures of control activity as well as the general structure of control theory and its components, give to the reader a detailed panoramic picture of modern control theory foundations. The book allows the researcher (or the manager) not only to realize what he is doing in his everyday activity, but to improve and optimize this activity, as well as the activity of his colleagues and subordinates.











Ashimov A., Sultanov B., Adilov Z., Borovskiy Y., Novikov D., Nizhegorodtsev R., Ashimov As. Macroeconomic Analysis and Economic Policy Based on Parametric Control. New York: Springer, 2012. 265 p.

ISBN: 978-1-4614-1152-9

Problems of macroeconomic analysis and the participation of the state in control of market economic development were critically revealed by the latest global economic crisis in 20072009.

This work presents the elements of parametric control theory, as well as some results in the context of the aforementioned problems based on AD-AS, IS, LM, ISLM , ISLM-BP mathematical models and the models of Keynes all-economic equilibrium, open economy of a small country, market cycles, and computable models of general equilibrium.

The materials of this book to a certain extent allow estimating the versions of recommendations on stabilizing acyclic economic policy and choosing state policy in the area of economic growth.











Mechanism Design and Management: Mathematical Methods for Smart Organizations / Ed. by Prof. D. Novikov. New York: Nova Science Publishers, 2013. 163 p.

ISBN  978-1626186095

Mechanism Design (MD) is a branch of game theory which deals with conflict situations involving a principal and a set of active agents (usually in the presence of asymmetric information). Mechanism design theory delivers a solution to many management problems in the form of a control mechanism, (i.e., a formalised routine of decision-making). Formal results of MD can change the fundamentals of managerial practice by introducing decision-making mechanisms in organisations, which are efficient and robust with respect to employees self-serving behaviour. The proposed book seeks a more intensive application of MD methodology and its formal results in organisations. The main aim of the book is to provide readers with the basics of an MD-based view on managerial problems, so that intra-firm policies can be analysed through the looking glass of employees behavioural response. A systematic introduction of the underlying MD methodology is combined with a collection of ready-to-use mechanisms for solving typical management problems. The use of MD by individual managers is facilitated by bringing together mathematical and business literature in a single treatise. This book is not a purely academic monograph as it contains as few formulas as possible, and no formal proofs (references to formal results are provided throughout the text). Courses on MD for managers are not common in business schools now, and our book represents the perfect material for such a course.





Gubanov D., Korgin N., Novikov D., Raikov A. E-Expertise: Modern Collective Intelligence. Heidelberg: Springer, 2014. 150 p.

ISBN 978-3319067698

This book focuses on organization and mechanisms of expert decision-making support using modern information and communication technologies, as well as information analysis and collective intelligence technologies (electronic expertise or simply e-expertise).

Chapter 1 (E-Expertise) discusses the role of e-expertise in decision-making processes. The procedures of e-expertise are classified, their benefits and shortcomings are identified, and the efficiency conditions are considered.

Chapter 2 (Expert Technologies and Principles) provides a comprehensive overview of modern expert technologies. A special emphasis is placed on the specifics of e-expertise. Moreover, the authors study the feasibility and reasonability of employing well-known methods and approaches in e-expertise.

Chapter 3 (E-Expertise: Organization and Technologies) describes some examples of up-to-date technologies to perform e-expertise.

Chapter 4 (Trust Networks and Competence Networks) deals with the problems of expert finding and grouping by information and communication technologies.

Chapter 5 (Active Expertise) treats the problem of expertise stability against any strategic manipulation by experts or coordinators pursuing individual goals.

The book addresses a wide range of readers interested in management, decision-making and expert activity in political, economic, social and industrial spheres.




Burkov V., Goubko M., Korgin N., Novikov D. Introduction to Theory of Control in Organizations.  New York: CRC Press, 2015. 352 p.

ISBN 978-1498714235

This book explains how the methodology of systems analysis and mathematical methods of control theory (including game theory and graph theory) can be applied to the area of organizational management. The theory presented extends the traditional approach of management science by introducing the optimization and game-theoretical tools for systematic accounting of the special nature of a human being as a control object. The authors use formal methods to construct robust and efficient decision-making procedures.





Novikov A., Novikov D. Research Methodology: From Philosophy of Science to Research Design. Amsterdam, CRC Press, 2013. 130 p.

ISBN 978-1138000308

The book distinguishes itself from many other works devoted to research methodology and the philosophy of science in its integrated approach towards scientific research, which is regarded as the scientific project on all levelsfrom philosophy of science to research design. This work studies the basics of the methodology of scientific research and the organization of scientific activity from the viewpoint of systems science and system analysis.

The book discusses the basics of the methodology including philosophical, psychological, epistemological and ethical/aesthetical foundations, the characteristics of scientific activity, including principles of scientific cognition, the means and methods of scientific research, the organization of a research implementation process and its chronological structure and finally, the organization of a collective scientific research design.

The work should be of interest to researchers, students and professionals in the fields of systems science, cybernetics, systems engineering, philosophy of science and project management, as well as to specialists of applied activity in the fields of operations research, programming, mathematical modeling of decision-making in organizations and economics.





Burkov V., Novikov D., Shchepkin A. Control Mechanisms for Ecological-Economic Systems. ‑ Berlin: Springer, 2015.  174 p.

ISBN 978-3319109145

This monograph presents and analyzes the optimization, game-theoretic and simulation models of control mechanisms for ecological-economic systems.

It is devoted to integrated assessment mechanisms for total risks and losses, penalty mechanisms, risk payment mechanisms, financing and costs compensation mechanisms for risk level reduction, sales mechanisms for risk level quotas, audit mechanisms, mechanisms for expected losses reduction, economic motivation mechanisms, optimization mechanisms for regional environmental (risk level reduction) programs, and mechanisms for authorities' interests coordination.

The book is aiming at undergraduate and postgraduate students, as well as at experts in mathematical modeling and control of ecological economic, socioeconomic and organizational systems.





Novikov D. Theory of Control in Organizations. New York: Nova Science Publishers, 2013. 341 p.

ISBN 978-1624177941

The theory presented in the book deals with methodological and mathematical foundations of control in organizations. It extends the traditional approach of management science by introducing the optimization and game-theoretical tools for systematic accounting of the special nature of human beings as a control object (e.g. opportunism, selfish behavior, information manipulation). Formal methods are used to construct robust and efficient decision-making procedures (the, so called, mechanisms), to support all aspects and stages of management activity (planning, organization, motivation, and monitoring), over all decision horizons, from operational to strategic management. This book reflects modern state of the art theory of control in organizations and is intended for advanced graduate students specializing in management sciences and in applications of control theory and operations research in business administration.