What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Control theory
- Algebra
A.J. van der Schaft mostly deals with Control theory, Hamiltonian system, Nonlinear system, Physical system and Mathematical analysis.
His research on Control theory frequently links to adjacent areas such as Control engineering.
His research in the fields of Superintegrable Hamiltonian system overlaps with other disciplines such as Dissipative system.
His Nonlinear system research integrates issues from Dynamical systems theory, Optimal control, Linear system and Applied mathematics.
A.J. van der Schaft combines subjects such as Hamiltonian vector field and Norm with his study of Optimal control.
A.J. van der Schaft interconnects Cotangent bundle and Configuration space in the investigation of issues within Mathematical analysis.
His most cited work include:
- L2-Gain and Passivity Techniques in Nonlinear Control (1636 citations)
- L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control (1332 citations)
- Putting energy back in control (658 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Control theory, Hamiltonian system, Nonlinear system, Applied mathematics and Mathematical analysis.
His is involved in several facets of Control theory study, as is seen by his studies on Linear system, Control theory, Passivity, Control system and Lyapunov function.
His work on Superintegrable Hamiltonian system and Covariant Hamiltonian field theory as part of general Hamiltonian system study is frequently connected to Physical system, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His studies in Superintegrable Hamiltonian system integrate themes in fields like Poisson bracket and Hamiltonian path problem.
His research investigates the connection between Nonlinear system and topics such as Topology that intersect with issues in Observability.
In his work, Algebra is strongly intertwined with Dynamical systems theory, which is a subfield of Applied mathematics.
He most often published in these fields:
- Control theory (37.14%)
- Hamiltonian system (32.65%)
- Nonlinear system (31.84%)
What were the highlights of his more recent work (between 2009-2021)?
- Control theory (37.14%)
- Nonlinear system (31.84%)
- Topology (12.65%)
In recent papers he was focusing on the following fields of study:
Control theory, Nonlinear system, Topology, Hamiltonian system and Directed graph are his primary areas of study.
In general Control theory, his work in Passivity, Nonlinear control, Linear system and Hamiltonian is often linked to Port linking many areas of study.
The Nonlinear system study combines topics in areas such as Consensus dynamics and Statistical physics.
A.J. van der Schaft has researched Topology in several fields, including Hamiltonian model, Nonlinear model and Control engineering.
Hamiltonian system and Interconnection are two areas of study in which A.J. van der Schaft engages in interdisciplinary research.
His research on Directed graph also deals with topics like
- Hamiltonian mechanics, which have a strong connection to Vertex and Load balancing,
- Lyapunov function, which have a strong connection to Applied mathematics, Contraction and Calculus.
Between 2009 and 2021, his most popular works were:
- Port-Hamiltonian Systems on Graphs (128 citations)
- A port-Hamiltonian approach to power network modeling and analysis (71 citations)
- On Differential Passivity (46 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Control theory
- Algebra
A.J. van der Schaft mainly focuses on Control theory, State variable, Nonlinear system, Discrete mathematics and Physical system.
His Control theory study combines topics in areas such as Mathematical analysis and Hamiltonian system.
His study in Hamiltonian system is interdisciplinary in nature, drawing from both Inverted pendulum, Observer, State observer and Point, Topology.
His State variable research includes elements of Systems theory, Algebraic number, Directed graph and Ordinary differential equation.
His biological study spans a wide range of topics, including Passivity, Invariant manifold and Applied mathematics.
His biological study deals with issues like Structure, which deal with fields such as Control algorithm, Dirac and Hamiltonian mechanics.
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