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- Héctor J. Sussmann

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
56
Citations
16,651
141
World Ranking
521
National Ranking
275

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.

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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)**

2179 Citations

Orbits of families of vector fields and integrability of distributions

Héctor J. Sussmann.

Transactions of the American Mathematical Society **(1973)**

1094 Citations

Controllability of nonlinear systems

Héctor J Sussmann;Velimir Jurdjevic.

Journal of Differential Equations **(1972)**

984 Citations

A general theorem on local controllability

H. J. Sussmann.

Siam Journal on Control and Optimization **(1987)**

803 Citations

Control systems on Lie groups

Velimir Jurdjevic;Velimir Jurdjevic;Héctor J Sussmann;Héctor J Sussmann.

Journal of Differential Equations **(1972)**

774 Citations

The peaking phenomenon and the global stabilization of nonlinear systems

H.J. Sussmann;P.V. Kokotovic.

IEEE Transactions on Automatic Control **(1991)**

593 Citations

A maximum principle for hybrid optimal control problems

H.J. Sussmann.

conference on decision and control **(1999)**

528 Citations

On the Gap Between Deterministic and Stochastic Ordinary Differential Equations

Hector J. Sussmann.

Annals of Probability **(1978)**

499 Citations

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

H.J. Sussmann;J.C. Willems.

IEEE Control Systems Magazine **(1997)**

440 Citations

Global stabilization of partially linear composite systems

A. Saberi;P. V. Kokotovic;H. J. Sussmann.

Siam Journal on Control and Optimization **(1990)**

384 Citations

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