Guaranteed cost coherent control for quantum systems with non-quadratic perturbations in the system Hamiltonian

DOI10.1016/J.AUTOMATICA.2022.110201zbMath1487.81105OpenAlexW4214946518WikidataQ114204839 ScholiaQ114204839MaRDI QIDQ2116671

Chengdi Xiang, Dao-Yi Dong, Ian R. Petersen

Publication date: 18 March 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2022.110201

zbMATH Keywords

quantum controlcoherent controlquantum robust controlrobust performance analysis

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Perturbations in context of PDEs (35B20) Ion traps (78A37) Quantum control (81Q93) Quantum channels, fidelity (81P47)

Related Items (1)

Coherent robust \(H^\infty\) control of uncertain linear quantum systems with direct and indirect couplings

Uses Software

• YALMIP
• LMIRank

Cites Work

• Sliding mode control of two-level quantum systems
• A Newton-like method for solving rank constrained linear matrix inequalities
• Static and dynamic coherent robust control for a class of uncertain quantum systems
• Coherent robust \(H^\infty\) control of linear quantum systems with uncertainties in the Hamiltonian and coupling operators
• Robust stability of uncertain linear quantum systems
• Quantum Measurement and Control
• Linear Matrix Inequalities in System and Control Theory
• Dark Modes of Quantum Linear Systems
• $H^{\infty}$ Control of Linear Quantum Stochastic Systems
• Ensemble Control of Bloch Equations
• The Series Product and Its Application to Quantum Feedforward and Feedback Networks
• Quantum Dissipative Systems and Feedback Control Design by Interconnection
• Transfer function approach to quantum control- part I: dynamics of quantum feedback systems
• Transfer function approach to quantum control- part II: control concepts and applications
• Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems Using Small Gain and Popov Methods
• Coherent $H^{\infty }$ Control for a Class of Annihilation Operator Linear Quantum Systems
• Modeling and Control of Quantum Systems: An Introduction
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.

This page was built for publication: Guaranteed cost coherent control for quantum systems with non-quadratic perturbations in the system Hamiltonian