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.
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.
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.
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.
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)
Orbits of families of vector fields and integrability of distributions
Héctor J. Sussmann.
Transactions of the American Mathematical Society (1973)
Controllability of nonlinear systems
Héctor J Sussmann;Velimir Jurdjevic.
Journal of Differential Equations (1972)
A general theorem on local controllability
H. J. Sussmann.
Siam Journal on Control and Optimization (1987)
Control systems on Lie groups
Velimir Jurdjevic;Velimir Jurdjevic;Héctor J Sussmann;Héctor J Sussmann.
Journal of Differential Equations (1972)
The peaking phenomenon and the global stabilization of nonlinear systems
H.J. Sussmann;P.V. Kokotovic.
IEEE Transactions on Automatic Control (1991)
A maximum principle for hybrid optimal control problems
conference on decision and control (1999)
On the Gap Between Deterministic and Stochastic Ordinary Differential Equations
Hector J. Sussmann.
Annals of Probability (1978)
300 years of optimal control: from the brachystochrone to the maximum principle
H.J. Sussmann;J.C. Willems.
IEEE Control Systems Magazine (1997)
Global stabilization of partially linear composite systems
A. Saberi;P. V. Kokotovic;H. J. Sussmann.
Siam Journal on Control and Optimization (1990)
If you think any of the details on this page are incorrect, let us know.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below: