What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Control theory
- Artificial intelligence
Ian R. Petersen mainly investigates Control theory, Robust control, Linear system, Mathematical optimization and Quadratic equation.
His Control theory study frequently links to related topics such as Riccati equation.
His studies in Robust control integrate themes in fields like Full state feedback, Position sensor and Variable structure control.
His research integrates issues of Nonlinear control, Nonlinear system, Transfer function, State and Quadratic growth in his study of Linear system.
His Mathematical optimization research is multidisciplinary, incorporating elements of Kalman filter, Bounded function and Interval.
His Linear-quadratic-Gaussian control research is multidisciplinary, relying on both Controllability and Linear-quadratic regulator.
His most cited work include:
- Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory (1324 citations)
- A stabilization algorithm for a class of uncertain linear systems (1249 citations)
- A Riccati equation approach to the stabilization of uncertain linear systems (732 citations)
What are the main themes of his work throughout his whole career to date?
Ian R. Petersen mostly deals with Control theory, Quantum, Robust control, Control theory and Quadratic equation.
His Control theory research includes themes of Mathematical optimization and Minimax.
Ian R. Petersen combines subjects such as Class and Riccati equation with his study of Mathematical optimization.
Norm is closely connected to Bounded function in his research, which is encompassed under the umbrella topic of Quadratic equation.
His work in Linear-quadratic-Gaussian control tackles topics such as Linear-quadratic regulator which are related to areas like Algebraic Riccati equation.
His Linear system research incorporates elements of Transfer function and State.
He most often published in these fields:
- Control theory (57.71%)
- Quantum (25.25%)
- Robust control (19.07%)
What were the highlights of his more recent work (between 2016-2021)?
- Quantum (25.25%)
- Control theory (57.71%)
- Quantum system (11.87%)
In recent papers he was focusing on the following fields of study:
Ian R. Petersen focuses on Quantum, Control theory, Quantum system, Applied mathematics and Statistical physics.
In his research, Quantum harmonic oscillator, Harmonic oscillator, Hamiltonian system and Optimal control is intimately related to Stochastic differential equation, which falls under the overarching field of Quantum.
His work on Control theory deals in particular with Control theory, Control system, Nonlinear system, Transfer function and Robustness.
His Quantum system study combines topics from a wide range of disciplines, such as Quantum noise, Linear system, Controllability, Observer and Realization.
As part of his studies on Linear system, he frequently links adjacent subjects like State.
His Applied mathematics study also includes
- Quantum state which intersects with area such as Gaussian,
- Quadratic equation together with Bounded function,
- Lyapunov function that intertwine with fields like Lyapunov stability.
Between 2016 and 2021, his most popular works were:
- A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis (48 citations)
- Rapid Lyapunov control of finite-dimensional quantum systems (41 citations)
- Identifying Strong-Field Effects in Indirect Photofragmentation Reactions (40 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Control theory
- Artificial intelligence
His scientific interests lie mostly in Quantum, Control theory, Quantum system, Applied mathematics and Statistical physics.
Ian R. Petersen has researched Quantum in several fields, including Stochastic differential equation, Algorithm and Hamiltonian.
His Control theory, Control system and Linear-quadratic-Gaussian control study in the realm of Control theory interacts with subjects such as Spiral.
His Linear-quadratic-Gaussian control study integrates concerns from other disciplines, such as Transfer function and Minimax.
His research in Quantum system intersects with topics in Kalman filter and Hilbert space.
Ian R. Petersen interconnects Reduced order, Lyapunov function, Nonlinear system, Class and Quantum state in the investigation of issues within Applied mathematics.
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