Mark R. Opmeer

538 total citations
45 papers, 369 citations indexed

About

Mark R. Opmeer is a scholar working on Control and Systems Engineering, Statistical and Nonlinear Physics and Numerical Analysis. According to data from OpenAlex, Mark R. Opmeer has authored 45 papers receiving a total of 369 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Control and Systems Engineering, 22 papers in Statistical and Nonlinear Physics and 21 papers in Numerical Analysis. Recurrent topics in Mark R. Opmeer's work include Stability and Controllability of Differential Equations (32 papers), Numerical methods for differential equations (21 papers) and Model Reduction and Neural Networks (19 papers). Mark R. Opmeer is often cited by papers focused on Stability and Controllability of Differential Equations (32 papers), Numerical methods for differential equations (21 papers) and Model Reduction and Neural Networks (19 papers). Mark R. Opmeer collaborates with scholars based in United Kingdom, Netherlands and Germany. Mark R. Opmeer's co-authors include Ruth F. Curtain, Chris Guiver, Hartmut Logemann, Timo Reis, Olof J. Staffans, Winnifried Wollner, Eduardo Dias, Fred W. Wubs, S. van Mourik and Orest Iftime and has published in prestigious journals such as IEEE Transactions on Automatic Control, Systems & Control Letters and SIAM Journal on Control and Optimization.

In The Last Decade

Mark R. Opmeer

43 papers receiving 311 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Mark R. Opmeer United Kingdom 12 292 135 118 89 60 45 369
M.S. Verma United States 11 333 1.1× 106 0.8× 82 0.7× 80 0.9× 35 0.6× 25 427
Hideki Sano Japan 9 256 0.9× 71 0.5× 60 0.5× 144 1.6× 64 1.1× 63 308
John Maroulas Greece 10 156 0.5× 54 0.4× 89 0.8× 204 2.3× 31 0.5× 44 419
Michael Karow Germany 10 64 0.2× 46 0.3× 117 1.0× 199 2.2× 35 0.6× 20 277
Chengkang Xie China 8 354 1.2× 69 0.5× 140 1.2× 169 1.9× 66 1.1× 26 385
Terry L. Herdman United States 11 211 0.7× 29 0.2× 241 2.0× 104 1.2× 54 0.9× 37 444
I. Gohberg Israel 6 91 0.3× 94 0.7× 78 0.7× 185 2.1× 95 1.6× 7 369
Denis Mustafa United Kingdom 8 277 0.9× 87 0.6× 45 0.4× 26 0.3× 6 0.1× 11 355
H. W. Knobloch Germany 11 166 0.6× 57 0.4× 149 1.3× 117 1.3× 23 0.4× 24 438
Wei‐Hua Luo China 9 56 0.2× 79 0.6× 168 1.4× 48 0.5× 13 0.2× 23 367

Countries citing papers authored by Mark R. Opmeer

Since Specialization
Citations

This map shows the geographic impact of Mark R. Opmeer's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mark R. Opmeer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mark R. Opmeer more than expected).

Fields of papers citing papers by Mark R. Opmeer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark R. Opmeer. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mark R. Opmeer. The network helps show where Mark R. Opmeer may publish in the future.

Co-authorship network of co-authors of Mark R. Opmeer

This figure shows the co-authorship network connecting the top 25 collaborators of Mark R. Opmeer. A scholar is included among the top collaborators of Mark R. Opmeer based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mark R. Opmeer. Mark R. Opmeer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Guiver, Chris, Hartmut Logemann, & Mark R. Opmeer. (2024). Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability. Mathematics of Control Signals and Systems. 36(4). 729–773. 1 indexed citations
2.
Guiver, Chris, Hartmut Logemann, & Mark R. Opmeer. (2024). A Mixed Passivity/Small-Gain Theorem for Sobolev Input-Output Stability. SIAM Journal on Control and Optimization. 62(6). 3042–3075.
3.
Guiver, Chris & Mark R. Opmeer. (2024). The energy-balance method for optimal control in renewable energy applications. Renewable energy focus. 50. 100582–100582. 1 indexed citations
4.
Guiver, Chris & Mark R. Opmeer. (2023). Representations and Regularity of Vector-Valued Right-Shift Invariant Operators Between Half-Line Bessel Potential Spaces. Integral Equations and Operator Theory. 95(3). 1 indexed citations
5.
Guiver, Chris, Hartmut Logemann, & Mark R. Opmeer. (2019). Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties. SIAM Journal on Control and Optimization. 57(1). 334–365. 18 indexed citations
6.
7.
Opmeer, Mark R., et al.. (2016). Analysis of an Iteration Method for the Algebraic Riccati Equation. SIAM Journal on Matrix Analysis and Applications. 37(2). 624–648. 7 indexed citations
8.
Opmeer, Mark R., et al.. (2015). The State Space Isomorphism Theorem for Discrete-Time Infinite-Dimensional Systems. Integral Equations and Operator Theory. 84(1). 105–120. 1 indexed citations
9.
Opmeer, Mark R.. (2015). Decay of singular values of the Gramians of infinite-dimensional systems. 1183–1188. 5 indexed citations
10.
Guiver, Chris & Mark R. Opmeer. (2014). Model Reduction by Balanced Truncation for Systems with Nuclear Hankel Operators. SIAM Journal on Control and Optimization. 52(2). 1366–1401. 8 indexed citations
11.
Guiver, Chris & Mark R. Opmeer. (2013). Bounded real and positive real balanced truncation for infinite-dimensional systems. Mathematical Control and Related Fields. 3(1). 83–119. 4 indexed citations
12.
Guiver, Chris & Mark R. Opmeer. (2013). Error bounds in the gap metric for dissipative balanced approximations. Linear Algebra and its Applications. 439(12). 3659–3698. 12 indexed citations
13.
Opmeer, Mark R.. (2011). Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation. IEEE Transactions on Automatic Control. 57(2). 472–477. 13 indexed citations
14.
Opmeer, Mark R.. (2011). Infinite-Dimensional Negative Imaginary Systems. IEEE Transactions on Automatic Control. 56(12). 2973–2976. 20 indexed citations
15.
Curtain, Ruth F. & Mark R. Opmeer. (2011). Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems. Mathematics of Control Signals and Systems. 23(1-3). 101–115. 3 indexed citations
16.
Opmeer, Mark R. & Olof J. Staffans. (2007). Optimal State Feedback Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems. Complex Analysis and Operator Theory. 2(3). 479–510. 5 indexed citations
17.
Curtain, Ruth F. & Mark R. Opmeer. (2007). The Nehari problem for discrete-time infinite-dimensional systems. 4453–4458. 1 indexed citations
18.
Opmeer, Mark R.. (2006). Distribution semigroups and control systems. Journal of Evolution Equations. 6(1). 145–159. 4 indexed citations
19.
Curtain, Ruth F. & Mark R. Opmeer. (2004). Normalized doubly coprime factorizations for state linear systems. Asian Control Conference. 2. 771–779. 1 indexed citations
20.
Opmeer, Mark R. & Ruth F. Curtain. (2004). Linear Quadratic Gaussian Balancing for Discrete-Time Infinite-Dimensional Linear Systems. SIAM Journal on Control and Optimization. 43(4). 1196–1221. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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