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Vladimir Burkov

Vladimir Burkov is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Vladimir Burkov rather than just read about it. In short: Vladimir Nikolaevich Burkov (Russian: Владимир Николаевич Бурков; 17 November 1939 – 24 April 2025) was a Russian control theorist and the author of more than four hundred publications on control problems, game theory, and combinatorial optimization. A laureate of the USSR State Prize, of the Prize of the Cabinet Council of the USSR, he was an Honoured Scholar of the Russian Federation.

Vladimir Burkov — main illustration
Vladimir Burkov — illustration

Key takeaways

  • Vladimir Burkov belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Vladimir Burkov to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Vladimir Burkov from memory before moving on to harder problems.

Reference excerpt

Vladimir Nikolaevich Burkov (Russian: Владимир Николаевич Бурков; 17 November 1939 – 24 April 2025) was a Russian control theorist and the author of more than four hundred publications on control problems, game theory, and combinatorial optimization. A laureate of the USSR State Prize, of the Prize of the Cabinet Council of the USSR, he was an Honoured Scholar of the Russian Federation. Vladimir Burkov was a vice-president of the Russian Project Management Association (SOVNET) (the Russian branch of International Project Management Association, IPMA), a member of the Russian Academy of Natural Sciences. As a professor at Moscow Institute of Physics and Technology and Head of Laboratory at the V.A. Trapeznikov Institute of Control Sciences of RAS, in the late 1960s he pioneered the theory of active systems (which was a Soviet version of the theory of mechanism design).

Background Vladimir Burkov was born on 17 November 1939, in the city of Vologda. In 1963 he graduated from the Moscow Institute of Physics and Technology (MIPT) and was employed by Institute of Automation and Remote Control (since the 1970s it has been known as ICS RAS, V.A. Trapeznikov Institute of Control Sciences of RAS), where he earned his Candidate of Sciences degree in 1966, and became Doctor of Sciences in 1975. In 1981 he earned professorship at the Chair of Control Sciences at MIPT and from 1974 onwards he worked at ICS RAS as a Head of Laboratory 57 "Laboratory of active systems" (until 2019) and a senior research scientist. Married to Elena Burkova, the couple had a daughter Irina, who also earned a doctoral degree for her contributions to control theory. Burkov died in Moscow on 24 April 2025, at the age of 85.

Contributions to combinatory optimization and project scheduling Vladimir Burkov's early academic interests were connected with applied problems of combinatorial optimization; in the 1960s he contributed to the boom of project scheduling and network planning, proposed novel models of resource allocation in organizations and in technical systems, solved several extremal graph problems. In particular, Vladimir Burkov proposed a lower-bound estimate of the project makespan in resource-constrained project scheduling problem re-invented in 1998 by A. Mingozzi et al. Two books by Vladimir Burkov, "Network models and control problems" and "Applied problems of graph theory" put forward the problems being intensively studied until now.

Launching theory of active systems As of the late 1960s, Vladimir Burkov's interests shifted to the studies of the specific nature of the human being as a controlled object (an agent). In 1969 he pursued an idea of the "fairplay principle" (in Russian: принцип открытого управления): plans assigned to selfish agents by the optimal control mechanism must be coordinated with agents' goal functions. Under such an incentive-compatible mechanism, truthtelling is beneficial for agents. The notion of incentive compatibility was independently proposed by Leonid Hurwitz, and later was extended and elaborated by Allan Gibbard, Roger Myerson, and many other researchers. They pioneered the revelation principle, which opened a new era in the studies of economic institutions (mechanism design and contract theory); it was mentioned as the main achievement in 2007's Nobel Memorial Prize in Economic Sciences won by L. Hurwitz, E. Maskin, and R. Myerson. The fairplay principle became the foundation of the newly introduced theory of active systems (a version of mechanism design originating from the USSR), which systematically studied control mechanisms in man-machine systems. In the 1970s the seminal books and articles determined the directions of theory development for many decades to come (some books of the early 2010s are contained in these references:).

Organizational and teaching activities In 1973 V. Burkov headed the newly created division in the Institute of Automation and Remote Control called "the Sector of Business Games"; in 1974 it was re-organized into the Laboratory 57 "Theory and methods of business games", later renamed to "Laboratory of Active Systems". As of the end of 2016 its staff numbered 28 employees, including 15 Doctors of Sciences and 5 Candidates of Sciences. Over the decades, V. Burkov supervised dozens of thesis works.

Famous followers Professor Dmitry Novikov, corresponding member of Russian Academy of Sciences (since 2008), was elected a director of ICS RAS on 17 October 2016.

References

Illustrations

Vladimir Burkov illustration

Worked examples

Example 1 — a first encounter with Vladimir Burkov

Start with the simplest possible case. Write down what Vladimir Burkov claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Vladimir Burkov before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Vladimir Burkov ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Vladimir Burkov

In research
Vladimir Burkov appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Vladimir Burkov in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Vladimir Burkov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, 2025 deaths, Control theorists, so understanding it makes those chapters shorter.
In everyday life
Look for Vladimir Burkov outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Vladimir Burkov in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Vladimir Burkov means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Vladimir Burkov out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Vladimir Burkov in simple terms?

Vladimir Nikolaevich Burkov (Russian: Владимир Николаевич Бурков; 17 November 1939 – 24 April 2025) was a Russian control theorist and the author of more than four hundred publications on control problems, game theory, and combinatorial optimization. A laureate of the USSR State Prize, of the Prize…

Why does Vladimir Burkov matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Vladimir Burkov?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Vladimir Burkov.

Tags

  • 1939 births
  • 2025 deaths
  • Control theorists
  • Moscow Institute of Physics and Technology alumni
  • Russian mathematicians
  • Soviet mathematicians

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