ArticleslgStudy

mathematics

Jan H. van Schuppen

Jan H. van Schuppen 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 Jan H. van Schuppen rather than just read about it. In short: Jan Hendrik van Schuppen (born 6 October 1947) is a Dutch mathematician and Professor at the Department of Mathematics of the Vrije Universiteit, known for his contributions in the field of systems theory, particularly on control theory and system identification, on probability, and on a number of related practical applications. Biography Van Schuppen obtained a PhD at the University of California, Berkeley, in 1973…

Key takeaways

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

Reference excerpt

Jan Hendrik van Schuppen (born 6 October 1947) is a Dutch mathematician and Professor at the Department of Mathematics of the Vrije Universiteit, known for his contributions in the field of systems theory, particularly on control theory and system identification, on probability, and on a number of related practical applications.

Biography Van Schuppen obtained a PhD at the University of California, Berkeley, in 1973, where his PhD supervisor was Pravin Varaiya. Van Schuppen works as a full professor at the Department of Mathematics of the Free University of Amsterdam and as a research leader at the CWI research institute in Amsterdam. He has been coordinating several European Union funded research networks such as the European Research Network System Identification, for which he has been the Netherlands leader. The lists among the PhD students who worked under van Schuppen's supervision Hendrik (Henk) Nijmeijer, Jan Willem Polderman, Peter Spreij and Damiano Brigo. Van Schuppen is Editor in Chief of Mathematics of Control, Signals, and Systems, has been Departmental Editor of the Journal of Discrete Event Dynamic Systems in 1990–2000, and has been Associate Editor-at-Large of the prestigious and leading journal IEEE Transactions on Automatic Control in 1999–2001.

Work Van Schuppen's research interest are in the areas of systems theory and probability. These include system identification, and realization theory, and the area of control theory, with control of discrete-event systems, control of hybrid systems, control and system theory of positive systems, control of stochastic systems, and adaptive control. He worked also on the filtering problem, on dynamic games and team problems, on probability and stochastic processes, and on applications of the theory including control and system theory of biochemical reaction networks, control of communication systems and networks, and control of motorway traffic in a consultancy for the Dutch administration.

Publications Van Schuppen has authored more than one hundred publications in the field and is a universally recognized and respected authority in the area. A selection, obtained by Jan van Schuppen's web site, is as follows.

Realization theory J.H. van Schuppen, System theory for system identification, J. Econometrics 188 (2004), 313–339. J.M. van den Hof, J.H. van Schuppen, Positive matrix factorization via extremal polyhedral cones, Linear Algebra and its Appl. 293(1999), 171–186. J.H. van Schuppen, Equivalences of discrete-event systems and of hybrid systems, Open problems of mathematical systems and control theory, V.D. Blondel, E.D. Sontag, M. Vidyasagar, J.C. Willems, Springer Verlag, London, 1998, 251–257. G. Picci, J.M. van den Hof, J.H. van Schuppen, Primes in several classes of the positive matrices, Linear Algebra and its Applications 277 (1998), 149–185. J.H. van Schuppen, Stochastic realization of a Gaussian stochastic control system, Acta Applicandae Mathematicae 35(1994), 193–212. J.H. van Schuppen, Stochastic realization problems, H. Nijmeijer, J.M. Schumacher (eds.), Three decades of mathematical system theory, Lecture Notes in Control and Information Sciences, volume 135, Springer-Verlag, Berlin, 1989, 480–523. J.H. van Schuppen, Stochastic realization problems motivated by econometric modeling, Modeling, Identification and Robust Control, C.I. Byrnes, A. Lindquist (eds.), North-Holland Publ. Co., Amsterdam, 1985, 259–275. J.H. van Schuppen, The weak stochastic realization problem for discrete-time counting processes, A. Bensoussan, J.L. Lions (eds.), Analysis and Optimization of Systems, Part 1, Lecture Notes in Control and Information Sciences, Volume 62, Springer-Verlag, Berlin, 1984, 436–444. G. Picci and J.H. van Schuppen, On the weak finite stochastic realization problem, Filtering and Control of Random Processes, Proceedings of the ENST-CNET Colloquium, H. Korezlioglu, G. Mazziotto, J. Szpirglas (eds.), Paris, France, Lecture Notes in Control and Information Sciences, Volume 61, Springer-Verlag, Berlin, 1984, 237–242. C. van Putten and J.H. van Schuppen, The weak and strong Gaussian probabilistic realization problem, J. Multivariate Anal. 13 (1983), 118–137. J.H. van Schuppen, The strong finite stochastic realization problem — preliminary results, Analysis and Optimization of Systems, A. Bensoussan, J.L Lions (eds.), Lecture Notes in Control and Information Sciences, volume 44, Springer-Verlag, Berlin, 1982, 179–190. J.H. van Schuppen, A brief introduction to the weak stochastic realization problem, Proceedings National Workshop on Stochastic Dynamic Systems, G.del Grosso (ed.), University of Rome, 1982. J.H. van Schuppen and J.C. Willems, Stochastic systems and the problem of state space realization, Geometric methods for the theory of linear systems, C.I. Byrnes, C.F. Martin (eds.), D. Reidel Publ. Co., Dordrecht, 1980, 285–313.

System identification A.A. Stoorvogel, J.H. van Schuppen, Approximation problems with the divergence criterion for Gaussian variables and processes, Systems & Control Lett. 35 (1998), 207–218. A.A. Stoorvogel, J.H. van Schuppen, Divergence rate approximation of a stationary Gaussian process by the output of a Gaussian system, Mathematical Theory of Networks and Systems (MTNS98), A. Beghi, L. Finesso, G. Picci (Eds.), Il Poligrafo, Padova, 1998, 879–882. A.A. Stoorvogel, J.H. van Schuppen, System identification with information theoretic criteria. In S. Bittanti, G. Picci (Eds.), Identification, adaptation, learning, Springer-Verlag, Berlin, 1996, 289–338. A.A. Stoorvogel, J.H. van Schuppen, An H infinity-parameter estimator. Proceedings of the 10th IFAC Symposium on System Identification, Danish Automation Society, Copenhagen, 1994, 3.267–3.270.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Jan H. van Schuppen

Start with the simplest possible case. Write down what Jan H. van Schuppen 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 Jan H. van Schuppen 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 Jan H. van Schuppen 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 Jan H. van Schuppen

In research
Jan H. van Schuppen 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 Jan H. van Schuppen 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
Jan H. van Schuppen is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, 20th-century Dutch mathematicians, 21st-century Dutch mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Jan H. van Schuppen 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.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Jan H. van Schuppen” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Jan H. van Schuppen in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Jan H. van Schuppen 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 Jan H. van Schuppen out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jan H. van Schuppen in simple terms?

Jan Hendrik van Schuppen (born 6 October 1947) is a Dutch mathematician and Professor at the Department of Mathematics of the Vrije Universiteit, known for his contributions in the field of systems theory, particularly on control theory and system identification, on probability, and on a number of…

Why does Jan H. van Schuppen 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 Jan H. van Schuppen?

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 Jan H. van Schuppen.

Tags

  • 1947 births
  • 20th-century Dutch mathematicians
  • 21st-century Dutch mathematicians
  • Academic staff of Vrije Universiteit Amsterdam
  • Control theorists
  • Living people
  • People from Veenendaal
  • Probability theorists

Keep exploring