University of Groningen
(1,0 fte)
(Groningen), 38 hours per week
University of Groningen
Job description
Function title: PhD position in Stability Analysis and Robust Stabilization for System Behaviors
The research to be carried out in this project deals with robust stability analysis and robust stabilization of systems with uncertain components. A possible way to model a complex system, possibly with complicated nonlinearities, uncertain time delays, and unmodelled dynamics, is to represent it as the interconnection of a linear, time invariant, finite-dimensional system, called 'the nominal system', and a so-called 'uncertain system' in which the modeller 'puts away' the non-linearities, time delays, and possibly unmodelled parts of the system. This uncertain system does not get an explicit mathematical description, but rather is embedded into a so-called 'relaxation', which expresses that the signals in the system satisfy certain quadratic inequalities, or that the system has certain dissipativity properties. In order to decide robust stability of the overall system, one then needs to check whether the nominal systems has certain dissipativity properties compatible with the dissipativity properties of the uncertain system.
The distinctive feature of the project is that it intends to study the problems of robust stability analysis and robust stabilization from a behavioral point of view. The purpose is to establish a representation-free approach to robust stability analysis and stabilization, one which considers the system itself as the starting point, instead of one of its particular representations. We will also avoid the use of input/output partitions of the system variables. The advantages of this approach are the wider variety of model classes that can be considered, and the flexibility with which the results can be adapted to the particular system representation at hand. Whereas most of the theory on robust stability analysis and robust stabilization deals with feedback interconnection, in this research project we will consider the more general notion of behavioral interconnection.
Requirements
Required education/skills:University Graduate
You are a university graduate (at the diploma or master of science level) in Mathematics, Electrical Engineering, or a related area. You are expected to have an excellent academic record (list of examination marks from your university study) and to be interested in research in the Mathematical Theory of Systems and Control. You should be able to write scientific articles and reports (to be proven by your graduation thesis or another comparable report) and be fluent in English.
Job type: Research / Advising
Workfield(s):
- Teaching & Research(Scientific discipline: Natural Sciences)
Organization
University of Groningen
Founded in 1614. One of the best universities in Europe and the world. A wide variety of disciplines. Internationally oriented. Rooted in the North of the Netherlands. Socially active. Our researchers and lecturers are inspired academics. Ambitious students. We respect the differences in talent, ambitions and performance of the 25.000 students and members of staff.
The university provides a career advisory service for partners of new staff who move to Groningen.
The university is an equal opportunities employer. Because women are still underrepresented in a number of fields, they are particularly encouraged to apply.
Faculty of Mathematics and Natural Sciences
Conditions of employment
Maximum salary amount in Euro's a month 2558
Employment basis: Temporary for specified period
Duration of the contract: Four years
Maximum hours per week: 38
Additional conditions of employment:
The University of Groningen offers a salary of € 2000 gross per month in the first year up to a maximum of € 2558 gross per month in the final year. A training program is part of the contract. After one year, the performance of the candidate will be evaluated to decide whether there is sufficient progress to expect a successful completion of the PhD thesis within the coming three years. The appointment is full time for a period of four years to be concluded with a PhD examination. In this period the person appointed has to prepare and defend a PhD thesis. Ideally, the project starts on October 1, 2008, but a later date is possible.
The project is funded by the Dutch Organization for Scientific Research (NWO).
Additional Information
Additional information about the vacancy can be obtained from:
Prof.dr. H.L. Trentelman
E-mail address: trentelman@math.rug.nl
Or additional information can be obtained through one of the following links:
You can apply for this job before 01-09-2008 (dd-mm-yyyy) by sending your application to:
University of Groningen
Personnel and Organization Office
P.O. Box 72
9700 AB Groningen
The Netherlands
E-mail: vmp@rug.nl
When applying for this job always mention the vacancy number AT208170.
(Groningen), 38 hours per week
University of Groningen
Job description
Function title: PhD position in Stability Analysis and Robust Stabilization for System Behaviors
The research to be carried out in this project deals with robust stability analysis and robust stabilization of systems with uncertain components. A possible way to model a complex system, possibly with complicated nonlinearities, uncertain time delays, and unmodelled dynamics, is to represent it as the interconnection of a linear, time invariant, finite-dimensional system, called 'the nominal system', and a so-called 'uncertain system' in which the modeller 'puts away' the non-linearities, time delays, and possibly unmodelled parts of the system. This uncertain system does not get an explicit mathematical description, but rather is embedded into a so-called 'relaxation', which expresses that the signals in the system satisfy certain quadratic inequalities, or that the system has certain dissipativity properties. In order to decide robust stability of the overall system, one then needs to check whether the nominal systems has certain dissipativity properties compatible with the dissipativity properties of the uncertain system.
The distinctive feature of the project is that it intends to study the problems of robust stability analysis and robust stabilization from a behavioral point of view. The purpose is to establish a representation-free approach to robust stability analysis and stabilization, one which considers the system itself as the starting point, instead of one of its particular representations. We will also avoid the use of input/output partitions of the system variables. The advantages of this approach are the wider variety of model classes that can be considered, and the flexibility with which the results can be adapted to the particular system representation at hand. Whereas most of the theory on robust stability analysis and robust stabilization deals with feedback interconnection, in this research project we will consider the more general notion of behavioral interconnection.
Requirements
Required education/skills:University Graduate
You are a university graduate (at the diploma or master of science level) in Mathematics, Electrical Engineering, or a related area. You are expected to have an excellent academic record (list of examination marks from your university study) and to be interested in research in the Mathematical Theory of Systems and Control. You should be able to write scientific articles and reports (to be proven by your graduation thesis or another comparable report) and be fluent in English.
Job type: Research / Advising
Workfield(s):
- Teaching & Research(Scientific discipline: Natural Sciences)
Organization
University of Groningen
Founded in 1614. One of the best universities in Europe and the world. A wide variety of disciplines. Internationally oriented. Rooted in the North of the Netherlands. Socially active. Our researchers and lecturers are inspired academics. Ambitious students. We respect the differences in talent, ambitions and performance of the 25.000 students and members of staff.
The university provides a career advisory service for partners of new staff who move to Groningen.
The university is an equal opportunities employer. Because women are still underrepresented in a number of fields, they are particularly encouraged to apply.
Faculty of Mathematics and Natural Sciences
Conditions of employment
Maximum salary amount in Euro's a month 2558
Employment basis: Temporary for specified period
Duration of the contract: Four years
Maximum hours per week: 38
Additional conditions of employment:
The University of Groningen offers a salary of € 2000 gross per month in the first year up to a maximum of € 2558 gross per month in the final year. A training program is part of the contract. After one year, the performance of the candidate will be evaluated to decide whether there is sufficient progress to expect a successful completion of the PhD thesis within the coming three years. The appointment is full time for a period of four years to be concluded with a PhD examination. In this period the person appointed has to prepare and defend a PhD thesis. Ideally, the project starts on October 1, 2008, but a later date is possible.
The project is funded by the Dutch Organization for Scientific Research (NWO).
Additional Information
Additional information about the vacancy can be obtained from:
Prof.dr. H.L. Trentelman
E-mail address: trentelman@math.rug.nl
Or additional information can be obtained through one of the following links:
- About the organization (http://www.rug.nl)
- Website of prof.dr. H.L. Trentelman (http://www.math.rug.nl/~trentelman/)
You can apply for this job before 01-09-2008 (dd-mm-yyyy) by sending your application to:
University of Groningen
Personnel and Organization Office
P.O. Box 72
9700 AB Groningen
The Netherlands
E-mail: vmp@rug.nl
When applying for this job always mention the vacancy number AT208170.