engineering

Roger W. Brockett

Roger W. Brockett is a engineering 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 Roger W. Brockett rather than just read about it. In short: Roger Ware Brockett (October 22, 1938 – March 19, 2023) was an American control theorist and the An Wang Professor of Computer Science and Electrical Engineering at Harvard University, who founded the Harvard Robotics Laboratory in 1983. Brockett became a member of the National Academy of Engineering in 1991 for outstanding contributions to the theory and practice of linear and nonlinear control systems.

Key takeaways

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

Reference excerpt

Roger Ware Brockett (October 22, 1938 – March 19, 2023) was an American control theorist and the An Wang Professor of Computer Science and Electrical Engineering at Harvard University, who founded the Harvard Robotics Laboratory in 1983. Brockett became a member of the National Academy of Engineering in 1991 for outstanding contributions to the theory and practice of linear and nonlinear control systems.

Biography Brockett was born on October 22, 1938, in Seville, Ohio, to Roger Lawrence and Grace Ester (Patch) Brockett. Brockett received his B.S. from Case Western Reserve University in 1960, and continued on to receive his M.S. in 1962 and his Ph.D. in 1964 from Case Western Reserve University as well. His Ph.D. dissertation was The Invertibility of Dynamic Systems with Application to Control under the supervision of Mihajlo D. Mesarovic. At Case Western, Brockett was classmates with Donald Knuth. After teaching at the Massachusetts Institute of Technology from 1963 to 1969, he joined the faculty at Harvard University. At Harvard, Brockett became the Gordon McKay Professor of Applied Mathematics and in 1989 the An Wang Professor of Computer Science and Electrical Engineering. Brockett was known for his work on control theory and linear differential systems; in 1970 he published the textbook Finite Dimensional Linear Systems. Brockett has advised over 50 students, including Daniel Liberzon, Jan Willems, David Dobkin, John Baras, P. S. Krishnaprasad, and John Baillieul. After experiencing a series of cardiac events, Brockett died at Yale New Haven Hospital in New Haven, Connecticut, on March 19, 2023, at the age of 84.

Awards and honors Brockett received several awards and honors, including:

Fellow of the Institute of Electrical and Electronics Engineers (IEEE) since 1974 Member of the National Academy of Engineering in 1991 In 1989 the Richard E. Bellman Control Heritage Award from the American Automatic Control Council In 1991 the IEEE Control Systems Science and Engineering Award In 1996 the "W.T. and Idalia Reid Prize in Mathematics" from the Society for Industrial and Applied Mathematics In 2005 the Rufus Oldenburger Medal from the American Society of Mechanical Engineers In 2009 the IEEE Leon K. Kirchmayer Graduate Teaching Award In 2012 he became a fellow of the American Mathematical Society. In 2014 the John R. Ragazzini Award from the American Automatic Control Council In 2017 the Quazza Medal from the International Federation of Automatic Control

References

External links Brockett's web page at Harvard Biography at the University of Maryland. Memorial page at the University of Maryland

Worked examples

Example 1 — a first encounter with Roger W. Brockett

Start with the simplest possible case. Write down what Roger W. Brockett claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In engineering, 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 Roger W. Brockett 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 Roger W. Brockett 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 Roger W. Brockett

In research: Roger W. Brockett appears in engineering 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 Roger W. Brockett 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: Roger W. Brockett is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 2023 deaths, American control theorists, so understanding it makes those chapters shorter.
In everyday life: Look for Roger W. Brockett 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 Roger W. Brockett in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Roger W. Brockett 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 Roger W. Brockett out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Roger W. Brockett in simple terms?

Why does Roger W. Brockett matter?

Because it connects several engineering 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 Roger W. Brockett?

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 Roger W. Brockett.