L. Silverman

5.9k total citations · 2 hit papers
94 papers, 4.2k citations indexed

About

L. Silverman is a scholar working on Control and Systems Engineering, Computational Theory and Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, L. Silverman has authored 94 papers receiving a total of 4.2k indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Control and Systems Engineering, 29 papers in Computational Theory and Mathematics and 19 papers in Statistical and Nonlinear Physics. Recurrent topics in L. Silverman's work include Stability and Control of Uncertain Systems (25 papers), Control Systems and Identification (25 papers) and Matrix Theory and Algorithms (21 papers). L. Silverman is often cited by papers focused on Stability and Control of Uncertain Systems (25 papers), Control Systems and Identification (25 papers) and Matrix Theory and Algorithms (21 papers). L. Silverman collaborates with scholars based in United States, Belgium and France. L. Silverman's co-authors include Lars Pernebo, Edmond Jonckheere, H. E. Meadows, H J Payne, B. Moore, K. Glover, Jean-François Abramatic, Brian D. O. Anderson, Maâmar Bettayeb and Paul Van Dooren and has published in prestigious journals such as IEEE Transactions on Pattern Analysis and Machine Intelligence, IEEE Transactions on Automatic Control and Proceedings of the IEEE.

In The Last Decade

L. Silverman

94 papers receiving 3.8k citations

Hit Papers

Model reduction via balanced state space representations 1969 2026 1988 2007 1982 1969 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Model reduction via balanced state space representations
    1982 667 citations L. Silverman et al. IEEE Transactions on Automatic Control profile →
  2. Inversion of multivariable linear systems
    1969 580 citations L. Silverman IEEE Transactions on Automatic Control profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
L. Silverman United States 29 2.7k 1.4k 705 660 539 94 4.2k
G. Zames Canada 28 4.4k 1.6× 775 0.5× 585 0.8× 769 1.2× 374 0.7× 73 5.6k
B. Moore Canada 10 2.4k 0.9× 2.6k 1.8× 871 1.2× 444 0.7× 1.1k 2.1× 23 4.7k
Michael G. Safonov United States 44 6.4k 2.3× 1.4k 1.0× 948 1.3× 1.0k 1.5× 934 1.7× 230 8.1k
Ruth F. Curtain Netherlands 31 4.5k 1.7× 1.1k 0.7× 1.2k 1.7× 1.8k 2.7× 280 0.5× 159 5.6k
A.C. Antoulas United States 22 901 0.3× 1.7k 1.2× 679 1.0× 454 0.7× 609 1.1× 61 2.4k
Dante C. Youla United States 26 2.2k 0.8× 447 0.3× 494 0.7× 811 1.2× 158 0.3× 66 5.1k
G. Stein United States 26 3.6k 1.3× 449 0.3× 287 0.4× 360 0.5× 272 0.5× 85 4.8k
B. Ross Barmish United States 34 4.5k 1.7× 345 0.2× 448 0.6× 1.1k 1.6× 560 1.0× 165 5.7k
E.J. Davison Canada 43 7.3k 2.7× 776 0.5× 886 1.3× 1.3k 2.0× 187 0.3× 337 8.7k
L.S. Shieh United States 28 2.0k 0.7× 597 0.4× 335 0.5× 469 0.7× 104 0.2× 221 3.0k

Countries citing papers authored by L. Silverman

Since Specialization
Citations

This map shows the geographic impact of L. Silverman'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 L. Silverman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites L. Silverman more than expected).

Fields of papers citing papers by L. Silverman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by L. Silverman. 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 L. Silverman. The network helps show where L. Silverman may publish in the future.

Co-authorship network of co-authors of L. Silverman

This figure shows the co-authorship network connecting the top 25 collaborators of L. Silverman. A scholar is included among the top collaborators of L. Silverman 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 L. Silverman. L. Silverman 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.
Silverman, L., et al.. (2005). Nonlinear image restoration: A visual quality constrained approach. 7. 2098–2101. 1 indexed citations
2.
Jonckheere, Edmond, et al.. (1989). Spectral theory of the linear-quadratic and H∞ problems. Linear Algebra and its Applications. 122-124. 273–300. 15 indexed citations
3.
Silverman, L., et al.. (1984). Determination of Morse's canonical form using the structure algorithm. 1752–1757. 6 indexed citations
4.
Silverman, L., et al.. (1983). Linear time-variable systems: Balancing and model reduction. IEEE Transactions on Automatic Control. 28(8). 810–822. 82 indexed citations
5.
Harshavardhana, P., Edmond Jonckheere, & L. Silverman. (1983). Stochastic balancing and approximation¿Stability and minimality. 268. 1260–1265. 4 indexed citations
6.
Abramatic, Jean-François & L. Silverman. (1982). Nonlinear Restoration of Noisy Images. IEEE Transactions on Pattern Analysis and Machine Intelligence. PAMI-4(2). 141–149. 47 indexed citations
7.
Silverman, L., et al.. (1981). Stable Approximation of Time-Variable Systems 1. IFAC Proceedings Volumes. 14(2). 1321–1326. 4 indexed citations
8.
Emre, E. & L. Silverman. (1981). The Equation $XR + QY = \Phi $: A Characterization of Solutions. SIAM Journal on Control and Optimization. 19(1). 33–38. 17 indexed citations
9.
Silverman, L. & Maâmar Bettayeb. (1980). Optimal approximation of linear systems. IEEE Transactions on Automatic Control. 17(17). 81. 80 indexed citations
10.
Emre, E. & L. Silverman. (1980). Partial model matching of linear systems. IEEE Transactions on Automatic Control. 25(2). 280–281. 19 indexed citations
11.
Emre, E., L. Silverman, & K. Glover. (1977). Generalized dynamic covers for linear systems with applications to deterministic identification and realization problems. IEEE Transactions on Automatic Control. 22(1). 26–35. 18 indexed citations
12.
Emre, E. & L. Silverman. (1976). Minimal dynamic inverses for linear systems with arbitrary initial states. IEEE Transactions on Automatic Control. 21(5). 766–769. 15 indexed citations
13.
Silverman, L., et al.. (1975). Restoration of motion degraded images. IEEE Transactions on Circuits and Systems. 22(3). 278–286. 35 indexed citations
14.
Moore, B. & L. Silverman. (1974). A time domain characterization of the invariant factors of a system transfer function. IEEE Transactions on Automatic Control. 12(12). 186–193. 16 indexed citations
15.
Silverman, L., et al.. (1970). Comments on "Inversion of multivariable linear systems". IEEE Transactions on Automatic Control. 15(4). 489–491. 7 indexed citations
16.
Dewilde, P., L. Silverman, & R.W. Newcomb. (1970). A passive synthesis for time-invariant transfer functions. IEEE Transactions on Circuit Theory. 17(3). 333–338. 11 indexed citations
17.
Silverman, L.. (1969). Inversion of Multivariable Linear Systems. 14(3). 11 indexed citations
18.
Silverman, L.. (1969). Reciprocal Realization of A Matrices. IEEE Transactions on Circuit Theory. 16(2). 252–253. 1 indexed citations
19.
Silverman, L., et al.. (1968). Internal and external stability of linear systems. Journal of Mathematical Analysis and Applications. 21(2). 277–286. 8 indexed citations
20.
Anderson, Brian D. O. & L. Silverman. (1967). Uniform complete controllability for time-varying systems. IEEE Transactions on Automatic Control. 12(6). 790–791. 4 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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