D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 31 Citations 5,793 111 World Ranking 2510 National Ranking 40

Overview

What is he best known for?

The fields of study Zvi Artstein is best known for:

  • Differential equation
  • Random variable
  • Mathematical analysis

His research on Geometry often connects related areas such as Reduction (mathematics) and Regular polygon. His Geometry research extends to Reduction (mathematics), which is thematically connected. His Mathematical analysis study frequently draws connections to other fields, such as Iterated function. His Applied mathematics study frequently draws connections between adjacent fields such as Hamilton–Jacobi equation. Hamilton–Jacobi equation is closely attributed to Applied mathematics in his work. Random variable and Law of large numbers are two areas of study in which he engages in interdisciplinary work. In his papers, Zvi Artstein integrates diverse fields, such as Law of large numbers and Statistics. He applies his multidisciplinary studies on Statistics and Discrete mathematics in his research. His study in Random compact set extends to Discrete mathematics with its themes.

His most cited work include:

  • Linear systems with delayed controls: A reduction (888 citations)
  • Stabilization with relaxed controls (840 citations)
  • A Strong Law of Large Numbers for Random Compact Sets (269 citations)

What are the main themes of his work throughout his whole career to date

Mathematical analysis and Pure mathematics are two areas of study in which Zvi Artstein engages in interdisciplinary work. While working on this project, Zvi Artstein studies both Applied mathematics and Mathematical optimization. Zvi Artstein merges Mathematical optimization with Applied mathematics in his study. His Control theory (sociology) research extends to Artificial intelligence, which is thematically connected. His Control theory (sociology) study frequently draws connections between adjacent fields such as Control (management). As part of his studies on Control (management), Zvi Artstein frequently links adjacent subjects like Artificial intelligence. His Quantum mechanics study frequently links to related topics such as Nonlinear system. His research ties Quantum mechanics and Nonlinear system together. Programming language is often connected to Set (abstract data type) in his work.

Zvi Artstein most often published in these fields:

  • Mathematical analysis (57.14%)
  • Applied mathematics (52.86%)
  • Artificial intelligence (34.29%)

What were the highlights of his more recent work (between 2008-2021)?

  • Applied mathematics (83.33%)
  • Artificial intelligence (66.67%)
  • Control (management) (66.67%)

In recent works Zvi Artstein was focusing on the following fields of study:

Zvi Artstein usually deals with Computation and limits it to topics linked to Algorithm and State (computer science). He frequently studies issues relating to Algorithm and State (computer science). Zvi Artstein is researching Optimal control as part of the investigation of Maximum principle and Pontryagin's minimum principle. His study brings together the fields of Optimal control and Maximum principle. His Geometry study has been linked to subjects such as Plane (geometry) and Horizon. Zvi Artstein performs multidisciplinary study in Plane (geometry) and Geometry in his work. He integrates many fields, such as Applied mathematics and Partial differential equation, in his works. Zvi Artstein incorporates Partial differential equation and Burgers' equation in his research. His study in Control (management) extends to Artificial intelligence with its themes.

Between 2008 and 2021, his most popular works were:

  • Set invariance under output feedback: a set-dynamics approach (33 citations)
  • Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion (13 citations)
  • Pontryagin Maximum Principle Revisited with Feedbacks (12 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Stabilization with relaxed controls

Zvi Artstein.
Nonlinear Analysis-theory Methods & Applications (1983)

1194 Citations

Linear systems with delayed controls: A reduction

Z. Artstein.
IEEE Transactions on Automatic Control (1982)

1060 Citations

A Strong Law of Large Numbers for Random Compact Sets

Zvi Artstein;Richard A. Vitale.
Annals of Probability (1975)

380 Citations

Uniform asymptotic stability via the limiting equations

Zvi Artstein.
Journal of Differential Equations (1978)

170 Citations

Set-valued measures

Zvi Artstein.
Transactions of the American Mathematical Society (1972)

146 Citations

Brief paper: Feedback and invariance under uncertainty via set-iterates

Zvi Artstein;Saša V. Raković.
Automatica (2008)

144 Citations

A note on fatou's lemma in several dimensions

Zvi Artstein.
Journal of Mathematical Economics (1979)

131 Citations

Consistency of Minimizers and the SLLN for Stochastic Programs 1

Zvi Artstein;Roger J.B. Wets.
Journal of Convex Analysis (1995)

131 Citations

Singularly perturbed ordinary differential equations with dynamic limits

Zvi Artstein;Alexander Vigodner.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1996)

114 Citations

Topological dynamics of an ordinary differential equation

Zvi Artstein.
Journal of Differential Equations (1977)

112 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Zvi Artstein

Miroslav Krstic

Miroslav Krstic

University of California, San Diego

Publications: 108

Zongli Lin

Zongli Lin

University of Virginia

Publications: 40

Frédéric Mazenc

Frédéric Mazenc

CentraleSupélec

Publications: 35

Eduardo D. Sontag

Eduardo D. Sontag

Northeastern University

Publications: 29

Iasson Karafyllis

Iasson Karafyllis

National Technical University of Athens

Publications: 28

Bin Zhou

Bin Zhou

Harbin Institute of Technology

Publications: 26

Christophe Prieur

Christophe Prieur

Grenoble Alpes University

Publications: 26

Andrew R. Teel

Andrew R. Teel

University of California, Santa Barbara

Publications: 23

Nikolaos S. Papageorgiou

Nikolaos S. Papageorgiou

National Technical University of Athens

Publications: 22

Huanshui Zhang

Huanshui Zhang

Shandong University of Science and Technology

Publications: 18

Nicolas Petit

Nicolas Petit

Mines ParisTech

Publications: 18

Silviu-Iulian Niculescu

Silviu-Iulian Niculescu

CentraleSupélec

Publications: 18

Mrdjan J. Jankovic

Mrdjan J. Jankovic

Ford Motor Company (United States)

Publications: 16

Emilia Fridman

Emilia Fridman

Tel Aviv University

Publications: 15

Mircea Lazar

Mircea Lazar

Eindhoven University of Technology

Publications: 15

Warren E. Dixon

Warren E. Dixon

University of Florida

Publications: 14

Something went wrong. Please try again later.