D-Index & Metrics Best Publications

D-Index & Metrics

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
Electronics and Electrical Engineering D-index 48 Citations 20,084 117 World Ranking 1278 National Ranking 17

Overview

What is he best known for?

The fields of study he is best known for:

  • Control theory
  • Mathematical analysis
  • Mathematical optimization

Pierre Apkarian focuses on Linear matrix inequality, Mathematical optimization, Control theory, Robust control and Lyapunov function. His Linear matrix inequality research incorporates themes from Optimization problem and Optimal control. His Mathematical optimization research includes themes of Range, Line search, Robustness and Nonlinear system.

His Robustness research focuses on Gain scheduling and how it connects with H control and Missile autopilot. In the subject of general Control theory, his work in Linear parameter-varying control, Control theory and Linear system is often linked to Parametric statistics, thereby combining diverse domains of study. His work deals with themes such as Discrete mathematics, Filtering theory and Robust filtering, which intersect with Robust control.

His most cited work include:

  • A linear matrix inequality approach to H∞ control (2739 citations)
  • Self-scheduled H ∞ control of linear parameter-varying systems: a design example (1195 citations)
  • A convex characterization of gain-scheduled H/sub /spl infin// controllers (1095 citations)

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

The scientist’s investigation covers issues in Control theory, Mathematical optimization, Robust control, Robustness and Linear matrix inequality. His Control theory study frequently links to adjacent areas such as Control engineering. The concepts of his Mathematical optimization study are interwoven with issues in Nonlinear programming and Nonlinear system.

His Robust control course of study focuses on Optimization methods and Controller design. His biological study spans a wide range of topics, including Line search and Branch and bound. The Lyapunov function study combines topics in areas such as Discrete time and continuous time and Linear parameter-varying control.

He most often published in these fields:

  • Control theory (69.89%)
  • Mathematical optimization (46.59%)
  • Robust control (30.11%)

What were the highlights of his more recent work (between 2013-2020)?

  • Mathematical optimization (46.59%)
  • Control theory (69.89%)
  • Control theory (27.27%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Mathematical optimization, Control theory, Control theory, Robustness and Applied mathematics. His Mathematical optimization study integrates concerns from other disciplines, such as Stability, Norm and Nonlinear programming, Nonlinear system. His work on Linear system, Control system, Robust control and Observer as part of general Control theory research is often related to Transformation, thus linking different fields of science.

His Control theory research incorporates elements of Algebraic number and Industrial engineering. Pierre Apkarian performs integrative Robustness and Parametric statistics research in his work. His Applied mathematics study also includes fields such as

  • Non smooth which is related to area like Uncertain systems,
  • Partial differential equation and related Reduction and Frequency domain.

Between 2013 and 2020, his most popular works were:

  • Parametric Robust Structured Control Design (70 citations)
  • Multi-model, multi-objective tuning of fixed-structure controllers (33 citations)
  • Overview of linear time-invariant interval observer design: towards a non-smooth optimisation-based approach (23 citations)

In his most recent research, the most cited papers focused on:

  • Control theory
  • Mathematical analysis
  • Mathematical optimization

Pierre Apkarian mainly investigates Mathematical optimization, Control theory, Robustness, Parametric statistics and Stability. His research investigates the connection with Mathematical optimization and areas like Interval which intersect with concerns in Control system and State vector. His work on Controller design as part of general Control theory research is frequently linked to Rocket, bridging the gap between disciplines.

In general Robustness, his work in Robust control is often linked to Spectral abscissa and Square matrix linking many areas of study. His studies deal with areas such as Upper and lower bounds, Computation, Minification and Relaxation as well as Robust control. His work carried out in the field of Stability brings together such families of science as Plant models, Linear control and Trust region.

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

A linear matrix inequality approach to H∞ control

Pascal Gahinet;Pierre Apkarian.
International Journal of Robust and Nonlinear Control (1994)

3770 Citations

Self-scheduled H ∞ control of linear parameter-varying systems: a design example

Pierre Apkarian;Pascal Gahinet;Greg Becker.
Automatica (1995)

1651 Citations

A convex characterization of gain-scheduled H/sub /spl infin// controllers

P. Apkarian;P. Gahinet.
IEEE Transactions on Automatic Control (1995)

1628 Citations

Affine parameter-dependent Lyapunov functions and real parametric uncertainty

P. Gahinet;P. Apkarian;M. Chilali.
IEEE Transactions on Automatic Control (1996)

1332 Citations

Advanced gain-scheduling techniques for uncertain systems

Pierre Apkarian;Richard J. Adams.
Advances in linear matrix inequality methods in control (1999)

1187 Citations

Parameterized linear matrix inequality techniques in fuzzy control system design

H.D. Tuan;P. Apkarian;T. Narikiyo;Y. Yamamoto.
IEEE Transactions on Fuzzy Systems (2001)

1128 Citations

Robust pole placement in LMI regions

M. Chilali;P. Gahinet;P. Apkarian.
IEEE Transactions on Automatic Control (1999)

935 Citations

Nonsmooth H ∞ synthesis

Pierre Apkarian;Dominikus Noll.
ACMOS'05 Proceedings of the 7th WSEAS international conference on Automatic control, modeling and simulation (2005)

720 Citations

Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions

E. Feron;P. Apkarian;P. Gahinet.
IEEE Transactions on Automatic Control (1996)

528 Citations

Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations

P. Apkarian;Hoang Duong Tuan;J. Bernussou.
IEEE Transactions on Automatic Control (2001)

488 Citations

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Best Scientists Citing Pierre Apkarian

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Guang-Hong Yang

Northeastern University

Publications: 128

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Thierry Marie Guerra

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Pedro L. D. Peres

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Carsten W. Scherer

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Vicenç Puig

Universitat Politècnica de Catalunya

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Hoang Duong Tuan

University of Technology Sydney

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Karolos M. Grigoriadis

Karolos M. Grigoriadis

University of Houston

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Peng Shi

Peng Shi

University of Adelaide

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Ricardo C. L. F. Oliveira

Ricardo C. L. F. Oliveira

State University of Campinas

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Huijun Gao

Huijun Gao

Harbin Institute of Technology

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Fen Wu

Fen Wu

North Carolina State University

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Ligang Wu

Ligang Wu

Harbin Institute of Technology

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József Bokor

József Bokor

Budapest University of Technology and Economics

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James Lam

James Lam

University of Hong Kong

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Huai-Ning Wu

Huai-Ning Wu

Beihang University

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Geir E. Dullerud

Geir E. Dullerud

University of Illinois at Urbana-Champaign

Publications: 44

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