NDLI: <formula formulatype=inline><tex>$H^{infty}$</tex></formula> Control of Linear Quantum Stochastic Systems

Content Provider	IEEE Xplore Digital Library
Author	James, M.R. Nurdin, H.I. Petersen, I.R.
Copyright Year	1963
Abstract	The purpose of this paper is to formulate and solve a H ^infin controller synthesis problem for a class of noncommutative linear stochastic systems which includes many examples of interest in quantum technology. The paper includes results on the class of such systems for which the quantum commutation relations are preserved (such a requirement must be satisfied in a physical quantum system). A quantum version of standard (classical) dissipativity results are presented and from this a quantum version of the strict bounded real lemma is derived. This enables a quantum version of the two Riccati solution to the H ^infin control problem to be presented. This result leads to controllers which may be realized using purely quantum, purely classical or a mixture of quantum and classical elements. This issue of physical realizability of the controller is examined in detail, and necessary and sufficient conditions are given. Our results are constructive in the sense that we provide explicit formulas for the Hamiltonian function and coupling operator corresponding to the controller.
Sponsorship	IEEE Control Systems Society
Starting Page	1787
Ending Page	1803
Page Count	17
File Size	713722
File Format	PDF
ISSN	00189286
Volume Number	53
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Feedback control Robust control Control system synthesis Control systems Australia Council Stochastic systems Optical control Optical attenuators Optical feedback Signal synthesis strict bounded real lemma $H^{\infty}$ robust control dissipativity quantum controller realization quantum feedback control quantum optics
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

$H^{∞}$ Control of Linear Quantum Systems

Coherent $H^{∞}$ control for a class of linear complex quantum systems

Bounded Real Properties for a Class of Annihilation-Operator Linear Quantum Systems

Coherent $H^{infty }$ Control for a Class of Annihilation Operator Linear Quantum Systems

Stochastic $H^\infty$

On Synthesis of Linear Quantum Stochastic Systems by Pure Cascading

The Robust H\infty Controller for a Class Uncertain Linear Systems with Time-delay

Synthesis of Linear Quantum Stochastic Systems via Quantum Feedback Networks

$H^{∞}$ control of quantum feedback control systems with time delay

$H^{infty}$ Control of Linear Quantum Stochastic Systems

Similar Documents

$H^{∞}$ Control of Linear Quantum Systems

Coherent $H^{∞}$ control for a class of linear complex quantum systems

Bounded Real Properties for a Class of Annihilation-Operator Linear Quantum Systems

Coherent $H^{infty }$ Control for a Class of Annihilation Operator Linear Quantum Systems

Stochastic $H^\infty$

On Synthesis of Linear Quantum Stochastic Systems by Pure Cascading

The Robust H\infty Controller for a Class Uncertain Linear Systems with Time-delay

Synthesis of Linear Quantum Stochastic Systems via Quantum Feedback Networks

$H^{∞}$ control of quantum feedback control systems with time delay

$H^{infty}$ Control of Linear Quantum Stochastic Systems