What is he best known for?
The fields of study he is best known for:
- Control theory
- Mathematical analysis
- Quantum mechanics
His scientific interests lie mostly in Control theory, Nonlinear system, Lyapunov function, Stability and Linear system. His research integrates issues of State and Stability in his study of Control theory. His Nonlinear system research incorporates themes from Observer, State, Robustness and Optimal control.
His research in Lyapunov function intersects with topics in Pure mathematics, Robust control and Applied mathematics. His Stability research includes elements of Generalization, Mathematical optimization, Monotone polygon and Topology. His Control system study combines topics from a wide range of disciplines, such as Dynamical systems theory and Eigenvalues and eigenvectors.
His most cited work include:
- Nonlinear Control Systems (5994 citations)
- Mathematical Control Theory: Deterministic Finite Dimensional Systems (2620 citations)
- Smooth stabilization implies coprime factorization (2089 citations)
What are the main themes of his work throughout his whole career to date?
Control theory, Nonlinear system, Applied mathematics, Linear system and Lyapunov function are his primary areas of study. His Control theory study typically links adjacent topics like Stability. As a part of the same scientific family, Eduardo D. Sontag mostly works in the field of Nonlinear system, focusing on State and, on occasion, Property.
Monotonic function, Mathematical optimization and Dynamical systems theory is closely connected to Monotone polygon in his research, which is encompassed under the umbrella topic of Applied mathematics. Linear system is often connected to Bounded function in his work. The various areas that Eduardo D. Sontag examines in his Lyapunov function study include Lyapunov exponent and Pure mathematics.
He most often published in these fields:
- Control theory (31.35%)
- Nonlinear system (21.56%)
- Applied mathematics (12.70%)
What were the highlights of his more recent work (between 2013-2021)?
- Nonlinear system (21.56%)
- Systems biology (7.94%)
- Control theory (31.35%)
In recent papers he was focusing on the following fields of study:
Eduardo D. Sontag mainly focuses on Nonlinear system, Systems biology, Control theory, Attractor and Linear system. The study incorporates disciplines such as Pure mathematics, Dynamical systems theory and Applied mathematics in addition to Nonlinear system. His biological study spans a wide range of topics, including Bounded function and Monotone polygon.
His studies in Systems biology integrate themes in fields like Theoretical computer science, Kinetic proofreading, Chaotic, Signal transduction and Mathematical model. His work in the fields of Control theory, such as Feed forward and Control theory, intersects with other areas such as Negative feedback and Cascade. His study looks at the intersection of Linear system and topics like Lyapunov function with Finite set.
Between 2013 and 2021, his most popular works were:
- A ‘resource allocator’ for transcription based on a highly fragmented T7 RNA polymerase (110 citations)
- Engineered promoters enable constant gene expression at any copy number in bacteria (89 citations)
- A model for competition for ribosomes in the cell. (80 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Artificial intelligence
His primary scientific interests are in Nonlinear system, Systems biology, Mathematical analysis, Control theory and Attractor. His Nonlinear system research incorporates elements of Pure mathematics, Stochastic process, Statistical physics, Moment and Gene regulatory network. Eduardo D. Sontag combines subjects such as Monotone polygon, Systems theory, Mathematical model, Biological network and Topology with his study of Systems biology.
His work in Mathematical model addresses issues such as Lyapunov function, which are connected to fields such as Sign. His Mathematical analysis study incorporates themes from Jacobian matrix and determinant and Contraction. The concepts of his Control theory study are interwoven with issues in State, Stability and Applied mathematics.
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