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Ian R. Petersen

Researcher at Australian National University

Publications -  992
Citations -  24919

Ian R. Petersen is an academic researcher from Australian National University. The author has contributed to research in topics: Quantum & Robust control. The author has an hindex of 67, co-authored 959 publications receiving 22649 citations. Previous affiliations of Ian R. Petersen include University of Cambridge & University of Manchester.

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A Frequency Domain Condition for the Physical Realizability of Linear Quantum Systems

TL;DR: Under suitable assumptions, the paper shows that the question of physical realizability is equivalent to a frequency domain (J,J) -unitary condition, which is important in controller synthesis since it is the transfer function matrix of the controller which determines the closed loop system behavior.
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Bounded Real Properties for a Class of Annihilation-Operator Linear Quantum Systems

TL;DR: For the class of quantum systems under consideration, it is shown that the question of physical realizability is related to the Bounded real and Lossless Bounded Real properties.
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Coherent $H^{\infty }$ Control for a Class of Annihilation Operator Linear Quantum Systems

TL;DR: For this class of quantum systems, a solution to the H∞ control problem can be obtained in terms of a pair of complex algebraic Riccati equations, and the question of physical realizability of the resulting quantum controllers is related to a bounded real property.
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Optimal Lyapunov-based quantum control for quantum systems

TL;DR: In this paper, the authors proposed two designs to optimize Lyapunov control in order to shorten the time required to reach the target state, and applied their optimal design to a nanomechanical resonator, where a shorter cooling time was found with respect to the cooling time by the conventional LyAPunov design.
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Quantum Linear Systems Theory

TL;DR: In this article, the authors present a survey of recent results on the theory of quantum linear systems and present them within a unified framework for coherent feedback control, referred to as coherent quantum feedback control.