Projects per year
Personal profile
Research interests
I'm a Mathematical Analyst. Most of my research is related to Linear Quadratic optimal control and/or to Model Reduction. Find out more by visiting my personal homepage.
I obtained my MSc and PhD degrees from the University of Groningen (the Netherlands) in 2002 and 2006 respectively. After one year as Krener Assistant Professor at the University of California Davis, I came to Bath in 2007.
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Infinite-dimensional Systems
Mathematics
Balanced Truncation
Mathematics
Coprime Factorization
Mathematics
Algebraic Riccati Equation
Mathematics
Riccati equations
Engineering & Materials Science
Discrete-time
Mathematics
Error Bounds
Mathematics
Linear systems
Engineering & Materials Science
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects 2007 2017
- 5 Finished
Rational Krylov Subspaces for Differential Operators (Research Bursary: Philip Hanson)
8/06/15 → 31/07/15
Project: UK charity
19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010)
4/07/10 → 17/07/10
Project: Research council
IFAC Workshop on Control of Distributed Parameter Systems 2009
19/07/09 → 25/07/09
Project: Research council
Research Output 2004 2017
1
Citations
(Scopus)
The ADI method for bounded real and positive real Lur'e equations
Massoudi, A., Opmeer, M. & Reis, T., Feb 2017, In : Numerische Mathematik. 135, 2, p. 431-458Research output: Contribution to journal › Article
Open Access
File
ADI Method
Approximate Solution
Iteration
Minimal Solution
Algebraic Riccati Equation
Transfer Functions of Infinite-Dimensional Systems: Positive Realness and Stabilization
Guiver, C., Logemann, H. & Opmeer, M. R., 1 Dec 2017, In : Mathematics of Control Signals and Systems. 29, 4, 2.Research output: Contribution to journal › Article
Open Access
File
2
Citations
(Scopus)
Analysis of an iteration method for the algebraic Riccati equation
Massoudi, A., Opmeer, M. & Reis, T., 17 May 2016, In : SIAM Journal On Matrix Analysis and Applications (SIMAX). 37, 2, p. 624–648 25 p.Research output: Contribution to journal › Article
Open Access
File
Algebraic Riccati Equation
Iteration Method
Optimal Control Problem
Convergence Analysis
Express
2
Citations
(Scopus)
The state space isomorphism theorem for discrete-time infinite-dimensional systems
Chakhchoukh, A. N. & Opmeer, M. R., Jan 2016, In : Integral Equations and Operator Theory. 84, 1, p. 105-120Research output: Contribution to journal › Article
Open Access
File
Isomorphism theorems
Infinite-dimensional Systems
Discrete-time Systems
State Space
Topological Vector Space
4
Citations
(Scopus)
A lower bound for the balanced truncation error for MIMO systems
Opmeer, M. & Reis, T., 24 Jul 2015, In : IEEE Transactions on Automatic Control. 60, 8, p. 2207-2212 6 p.Research output: Contribution to journal › Article
Open Access
File
MIMO systems