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.
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