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PESAN DAN TANGGAPAN :
Mathematical Theory of Systems and Control Course ITB  UTwente
Oleh : LabMath Indonesia
Rabu, 7 Januari 2009 (23:04 WIB) dari IP 125.160.105.13
Mathematical Theory of Systems and Control 2week COURSE ITB  UTwente collaboration Period: 1830 January 2009 Place: Campus ITB
Fellowships for Combined MSc/PhD are available for excellent performers Organization of the course. The course will consist of lectures and exercise classes with written assignments.
In the second week, small groups will be formed to execute a more challenging assignment slightly beyond the material covered in the lectures; at the end of the second week each group will give a presentation.
During the course, seminars, by the lecturers, as well as by researchers from ITB, will be given to highlight more advanced current research topics in the field of S&C. The main reference for the course is: Introduction to Mathematical Systems theory: a Behavioral Approach, by J.W. Polderman and J.C. Willems (Springer, New York, 1998).
Overview of the topics of the course
Mathematical systems theory is concerned with problems related to dynamic phenomena in interaction with their environment. These problems include: * Modeling. Obtaining a mathematical model that reflects the main features. A mathematical model may be represented by difference or differential equations, but also by inequalities, algebraic equations, and logical constraints. * Analysis and simulation of the mathematical model. * Prediction and estimation. Identification of the system behavior based on noisy and incomplete measurements. * Control. By choosing inputs or, more general, by imposing additional constraints on some of the variables, the system may be influenced so as to obtain certain desired behavior. Feedback is an important example of control.
The course provides an introduction to recent developments in the area of Systems and Control, while at the same time covering the standard theory. The main objects of study in the course are systems modeled by linear timeinvariant differential equations.
We start with a treatment of the theory of algebraic representation of dynamical systems using polynomial matrices. The main result is a complete characterization of all representations of a given system. Several other representations are introduced along with their relations. Important examples of such representation are inputoutput representations that reveal that some variables are unrestricted by the equations, and state space representations that visualize the separation of past and future, also referred to as the Markov property. Controllability and observability are important system theoretic concepts. A controllable system has the property that a desired future behavior can always be obtained, independent of the past behavior, provided that this future behavior is compatible with the laws of the system. Observability means that the complete behavior may be reconstructed from incomplete observations. The theory of controllability and observability forms one of the highlights of the course. Stability can be an important and desirable property of a system.
Stabilization by static or dynamic feedback is one of the key features of Systems and Control. In the pole placement theorem linear algebraic methods and the notion of controllability are used in their full strength. The theorem, loosely speaking, says that in a controllable system the dynamic behavior can be changed as desired, in terms of characteristic values, by using appropriate feedback. It forms one of the most elegant results of the course and indeed of the field of Systems and Control.
Further information
Detailed information about the course content and organization is available at: www.math.utwente/~poldermanjw/ITBcourse
Application :
A limited number of students form outside the study programme EE at ITB can be accommodated to participate. Application is required and can be done via an electronic webform available at www.labmath?indonesia.or.id. Please attach the required documents: CV, letter of motivation, and proof of English proficiency.
MSc in Systems and Control
The course is compulsory in the curriculum of the Master Programme in Systems and Control at the University of Twente. Information about the MSc Programme in Systems and Control may be found at http://sc.graduate.utwente.nl.
For excellent participants there is a limited number of fellowships to enroll in this master programme as part of a combined Msc?PhD track.
UT & Info & Support Office in Bandung
General information about studying at the University of Twente can be obtained from http://graduate.utwente.nl Personal assistance in selecting a Master programme or to look for possibilities for a PhD project can be obtained at the UT Info & Support Office hosted at LabMath?Indonesia : Jalan Anatomi 19, Bandung 40191 international@labmath?indonesia.or.id
Lecturers
From Applied Mathematics, UTwente * Dr. J.W. Polderman * Prof. A. Stoorvogel
From Electrical Engineering, ITB * Dr. B. Riyanto (ITB) * Dr. A. Syaichurochman
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