Loïc Bourdin

627 total citations
33 papers, 327 citations indexed

About

Loïc Bourdin is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Loïc Bourdin has authored 33 papers receiving a total of 327 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Applied Mathematics, 12 papers in Computational Theory and Mathematics and 11 papers in Control and Systems Engineering. Recurrent topics in Loïc Bourdin's work include Nonlinear Differential Equations Analysis (13 papers), Optimization and Variational Analysis (9 papers) and Fractional Differential Equations Solutions (7 papers). Loïc Bourdin is often cited by papers focused on Nonlinear Differential Equations Analysis (13 papers), Optimization and Variational Analysis (9 papers) and Fractional Differential Equations Solutions (7 papers). Loïc Bourdin collaborates with scholars based in France, Poland and Canada. Loïc Bourdin's co-authors include Emmanuel Trélat, Maı̈tine Bergounioux, Jacky Cresson, Dariusz Idczak, Samir Adly, Piernicola Bettiol, Toufik Bakir, Bernard Bonnard, Larissa A. Naylor and Rui A. C. Ferreira and has published in prestigious journals such as IEEE Transactions on Automatic Control, Automatica and Journal of Mathematical Analysis and Applications.

In The Last Decade

Loïc Bourdin

30 papers receiving 303 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Loïc Bourdin France 10 151 143 100 97 76 33 327
Fanwei Meng China 13 123 0.8× 252 1.8× 144 1.4× 260 2.7× 47 0.6× 45 573
Burak Kurt Türkiye 9 101 0.7× 258 1.8× 61 0.6× 43 0.4× 42 0.6× 25 437
Dariusz Idczak Poland 12 161 1.1× 292 2.0× 104 1.0× 119 1.2× 100 1.3× 60 391
T. Sathiyaraj India 12 226 1.5× 209 1.5× 76 0.8× 133 1.4× 42 0.6× 33 349
F.A. McRae United States 13 190 1.3× 329 2.3× 206 2.1× 106 1.1× 68 0.9× 20 477
F. Bahrami Iran 11 233 1.5× 221 1.5× 38 0.4× 44 0.5× 76 1.0× 35 406
Yaghoub Jalilian Iran 9 249 1.6× 273 1.9× 124 1.2× 49 0.5× 23 0.3× 22 363
Wei‐Hua Luo China 9 253 1.7× 75 0.5× 168 1.7× 56 0.6× 48 0.6× 23 367
Bo Du China 12 72 0.5× 150 1.0× 93 0.9× 48 0.5× 36 0.5× 59 449
Aliaa Burqan Jordan 13 357 2.4× 151 1.1× 242 2.4× 33 0.3× 37 0.5× 45 449

Countries citing papers authored by Loïc Bourdin

Since Specialization
Citations

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

Fields of papers citing papers by Loïc Bourdin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Loïc Bourdin

This figure shows the co-authorship network connecting the top 25 collaborators of Loïc Bourdin. A scholar is included among the top collaborators of Loïc Bourdin 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 Loïc Bourdin. Loïc Bourdin 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.
Bayen, Térence, et al.. (2024). Loss control regions in optimal control problems. Journal of Differential Equations. 405. 359–397.
2.
3.
Bourdin, Loïc & Emmanuel Trélat. (2024). Convergence in Nonlinear Optimal Sampled-Data Control Problems. IEEE Transactions on Automatic Control. 69(10). 7144–7151.
4.
5.
Adly, Samir, et al.. (2023). Shape Optimization for Variational Inequalities: The Scalar Tresca Friction Problem. SIAM Journal on Optimization. 33(4). 2512–2541. 1 indexed citations
6.
Bourdin, Loïc & Emmanuel Trélat. (2021). Robustness under control sampling of reachability in fixed time for nonlinear control systems. Mathematics of Control Signals and Systems. 33(3). 515–551. 1 indexed citations
7.
Bourdin, Loïc & Rui A. C. Ferreira. (2021). Legendre’s Necessary Condition for Fractional Bolza Functionals with Mixed Initial/Final Constraints. Journal of Optimization Theory and Applications. 190(2). 672–708. 2 indexed citations
8.
Bourdin, Loïc & Emmanuel Trélat. (2021). Unified Riccati Theory for Optimal Permanent and Sampled-Data Control Problems in Finite and Infinite Time Horizons. SIAM Journal on Control and Optimization. 59(1). 489–508. 3 indexed citations
9.
10.
Adly, Samir & Loïc Bourdin. (2019). On a Decomposition Formula for the Resolvent Operator of the Sum of Two Set-Valued Maps with Monotonicity Assumptions. Applied Mathematics & Optimization. 80(3). 715–732. 2 indexed citations
11.
Adly, Samir & Loïc Bourdin. (2017). Sensitivity analysis of variational inequalities via twice epi-differentiability and proto-differentiability of the proximity operator. HAL (Le Centre pour la Communication Scientifique Directe). 7 indexed citations
12.
Bourdin, Loïc & Emmanuel Trélat. (2017). Linear–quadratic optimal sampled-data control problems: Convergence result and Riccati theory. Automatica. 79. 273–281. 14 indexed citations
13.
Bourdin, Loïc & Emmanuel Trélat. (2015). Pontryagin maximum principle for optimal sampled-data control problems. IFAC-PapersOnLine. 48(25). 80–84. 9 indexed citations
14.
Bourdin, Loïc. (2013). Nonshifted calculus of variations on time scales with ∇-differentiable σ. Journal of Mathematical Analysis and Applications. 411(2). 543–554. 14 indexed citations
15.
Bourdin, Loïc & Emmanuel Trélat. (2013). Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales. SIAM Journal on Control and Optimization. 51(5). 3781–3813. 30 indexed citations
16.
Bourdin, Loïc, et al.. (2013). Variational integrator for fractional Euler–Lagrange equations. Applied Numerical Mathematics. 71. 14–23. 23 indexed citations
17.
Bourdin, Loïc & Emmanuel Trélat. (2013). General Cauchy–Lipschitz theory for Δ-Cauchy problems with Carathéodory dynamics on time scales. The Journal of Difference Equations and Applications. 20(4). 526–547. 9 indexed citations
18.
Bourdin, Loïc & Jacky Cresson. (2013). Helmholtz's inverse problem of the discrete calculus of variations. The Journal of Difference Equations and Applications. 19(9). 1417–1436. 7 indexed citations
19.
Bourdin, Loïc, et al.. (2012). A continuous/discrete fractional Noether’s theorem. Communications in Nonlinear Science and Numerical Simulation. 18(4). 878–887. 43 indexed citations
20.
Piégay, Hervé, Larissa A. Naylor, Gertrud Haidvogl, et al.. (2007). Integrative river science and rehabilitation : European experiences. HAL (Le Centre pour la Communication Scientifique Directe). 7 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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