mathematics

Vladimir Yakubovich

Vladimir Yakubovich 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 Yakubovich rather than just read about it. In short: Vladimir Andreevich Yakubovich (October 21, 1926 in Novosibirsk – August 17, 2012 in the Gdov region) was a notable Russian control theorist and head of the Department of Theoretical Cybernetics at Saint Petersburg State University (formerly Leningrad University). In 1996 he received the IEEE Control Systems Award for his contributions to control theory, including the Kalman–Yakubovich–Popov lemma.

Key takeaways

Vladimir Yakubovich 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 Yakubovich to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Vladimir Yakubovich from memory before moving on to harder problems.

Reference excerpt

Vladimir Andreevich Yakubovich (October 21, 1926 in Novosibirsk – August 17, 2012 in the Gdov region) was a notable Russian control theorist and head of the Department of Theoretical Cybernetics at Saint Petersburg State University (formerly Leningrad University). In 1996 he received the IEEE Control Systems Award for his contributions to control theory, including the Kalman–Yakubovich–Popov lemma.

References

External links Personal web page (English) Personal web page (Russian) On-line CV [1] (includes photo) S. Abramovich, N. Kuznetsov, G. Leonov, V. A. Yakubovich — mathematician, “father of the field”, and herald of intellectual democracy in science and society, IFAC-PapersOnLine, 48(11), 2015, 1–3 (video) Vladimir A. Yakubovich, Automation and Remote Control, 2006, Vol. 67, No. 10, pp. 1530–1546.

Worked examples

Example 1 — a first encounter with Vladimir Yakubovich

Start with the simplest possible case. Write down what Vladimir Yakubovich 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 Yakubovich 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 Yakubovich 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 Yakubovich

In research: Vladimir Yakubovich 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 Yakubovich 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 Yakubovich is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1926 births, 2012 deaths, Control theorists, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Yakubovich 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 Yakubovich in 20 minutes

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

Frequently asked questions

What is Vladimir Yakubovich in simple terms?

Why does Vladimir Yakubovich 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 Yakubovich?

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 Yakubovich.