H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 50 Citations 15,195 114 World Ranking 550 National Ranking 279

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For contributions to nonlinear control, especially in the area of differential-geometric control theory.

1995 - IEEE Fellow For contributions to nonlinear system theory, optimal control, and feedback control.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

Héctor J. Sussmann mostly deals with Control theory, Pure mathematics, Mathematical analysis, Nonlinear system and Linear system. His study in the field of Control system, Full state feedback, Optimal control and Observability is also linked to topics like Cascade. His Mathematical analysis research includes elements of Structure, Lie bracket of vector fields, Angular velocity and Optimal trajectory.

The various areas that Héctor J. Sussmann examines in his Nonlinear system study include State and Controllability. In his study, which falls under the umbrella issue of Linear system, Bounded function is strongly linked to Eigenvalues and eigenvectors. When carried out as part of a general Lie group research project, his work on Lie theory, Killing form, Representation of a Lie group and Adjoint representation is frequently linked to work in Real form, therefore connecting diverse disciplines of study.

His most cited work include:

  • A general result on the stabilization of linear systems using bounded controls (752 citations)
  • Orbits of families of vector fields and integrability of distributions (702 citations)
  • Controllability of nonlinear systems (651 citations)

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

Optimal control, Mathematical analysis, Control theory, Discrete mathematics and Applied mathematics are his primary areas of study. His Optimal control research incorporates themes from Structure and Calculus. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Vector field, Lie bracket of vector fields, Pure mathematics and Optimal trajectory.

In the field of Pure mathematics, his study on Manifold, Adjoint representation of a Lie algebra and Lie group overlaps with subjects such as Real form. As a part of the same scientific study, Héctor J. Sussmann usually deals with the Control theory, concentrating on Eigenvalues and eigenvectors and frequently concerns with Bounded function. His work deals with themes such as Linear combination and Constant, which intersect with Discrete mathematics.

He most often published in these fields:

  • Optimal control (29.66%)
  • Mathematical analysis (27.59%)
  • Control theory (21.38%)

What were the highlights of his more recent work (between 1998-2020)?

  • Mathematical analysis (27.59%)
  • Maximum principle (17.24%)
  • Optimal control (29.66%)

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

Héctor J. Sussmann spends much of his time researching Mathematical analysis, Maximum principle, Optimal control, Discrete mathematics and Lipschitz continuity. His research in Mathematical analysis focuses on subjects like Vector field, which are connected to Point and Lie algebra. His studies in Maximum principle integrate themes in fields like Differential inclusion, Pure mathematics, Applied mathematics and Hamiltonian.

His biological study spans a wide range of topics, including Simple, Dynamic programming and Calculus. His Discrete mathematics study combines topics in areas such as Chain rule and Interval. In his research, Quadratic equation, Van der Pol oscillator, Quartic function and Nonlinear system is intimately related to Control system, which falls under the overarching field of Lipschitz continuity.

Between 1998 and 2020, his most popular works were:

  • A maximum principle for hybrid optimal control problems (334 citations)
  • Nonlinear and Optimal Control Theory (62 citations)
  • Set-valued differentials and the hybrid maximum principle (49 citations)

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

  • Mathematical analysis
  • Algebra
  • Geometry

His scientific interests lie mostly in Optimal control, Discrete mathematics, Maximum principle, Control theory and Vector field. The various areas that Héctor J. Sussmann examines in his Optimal control study include Nonlinear control and Nonlinear system. His Maximum principle research is multidisciplinary, relying on both Differential inclusion, Differentiable function and Applied mathematics.

His study in the field of Control theory and Bang–bang control also crosses realms of Minimum time and Underwater. He usually deals with Vector field and limits it to topics linked to Lipschitz continuity and Lie bracket of vector fields, Fundamental vector field, Lie derivative and Lie algebra. His Chain rule study deals with the bigger picture of Pure mathematics.

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.

Top Publications

A general result on the stabilization of linear systems using bounded controls

H.J. Sussmann;E.D. Sontag;Y. Yang.
IEEE Transactions on Automatic Control (1994)

1145 Citations

Orbits of families of vector fields and integrability of distributions

Héctor J. Sussmann.
Transactions of the American Mathematical Society (1973)

1110 Citations

Controllability of nonlinear systems

Héctor J Sussmann;Velimir Jurdjevic.
Journal of Differential Equations (1972)

1014 Citations

A general theorem on local controllability

H. J. Sussmann.
Siam Journal on Control and Optimization (1987)

851 Citations

Control systems on Lie groups

Velimir Jurdjevic;Velimir Jurdjevic;Héctor J Sussmann;Héctor J Sussmann.
Journal of Differential Equations (1972)

813 Citations

The peaking phenomenon and the global stabilization of nonlinear systems

H.J. Sussmann;P.V. Kokotovic.
IEEE Transactions on Automatic Control (1991)

572 Citations

A maximum principle for hybrid optimal control problems

H.J. Sussmann.
conference on decision and control (1999)

513 Citations

300 years of optimal control: from the brachystochrone to the maximum principle

H.J. Sussmann;J.C. Willems.
IEEE Control Systems Magazine (1997)

419 Citations

Nonlinear output feedback design for linear systems with saturating controls

E.D. Sontag;H.J. Sussmann.
conference on decision and control (1990)

390 Citations

Original Contribution: Uniqueness of the weights for minimal feedforward nets with a given input-output map

Héctor J. Sussmann.
Neural Networks (1992)

357 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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