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Quantum coherent feedback control is a measurement-free control method fully preserving quantum coherence. In this paper we show how time-delayed quantum coherent feedback can be used to control the degree of squeezing in the output field…

The traditional quantum control theory focuses on linear quantum system. Here we show the effect of nonlinearity on quantum control of a two-level system, we find that the nonlinearity can change the controllability of quantum system.…

Quantum Physics · Physics 2015-05-13 W. Wang , J. Shen , X. X. Yi

This article studies the event-triggered control problem of general nonlinear systems with time delay. A novel event-triggering scheme is presented with two tunable design parameters, based on a Lyapunov functional result for the…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Kexue Zhang , Bahman Gharesifard , Elena Braverman

This paper studies the stabilization and safety problems of nonlinear time-delay systems, where time delays exist in system state and affect the controller design. Following the Razumikhin approach, we propose a novel control…

Systems and Control · Electrical Eng. & Systems 2021-09-28 Wei Ren

The condition of a quantum Lyapunov-based control which can be well used in a closed quantum system is that the method can make the system convergent but not just stable. In the convergence study of the quantum Lyapunov control, two…

Mathematical Physics · Physics 2014-01-14 Shuang Cong , Fangfang Meng

Coherent feedback is a non-measurement based, hence a back-action free, method of control for quantum systems. A typical application of this control scheme is squeezing enhancement, a purely non-classical effect in quantum optics. In this…

Quantum Physics · Physics 2016-11-17 Sanae Iida , Mitsuyoshi Yukawa , Hidehiro Yonezawa , Naoki Yamamoto , Akira Furusawa

Feedback control protocols can stabilize and enhance the operation of quantum devices, however, unavoidable delays in the feedback loop adversely affect their performance. We introduce a quantum control methodology, combining open-loop…

Quantum Physics · Physics 2010-03-25 Joshua Combes , Howard M. Wiseman , A. J. Scott

Different ways of modelling quantum control systems, formulating control problems and solving the resulting problems are considered and compared. In particular, we compare the performance of geometric and optimal control, as well as…

Quantum Physics · Physics 2008-01-08 Sonia G Schirmer , Peter J Pemberton-Ross , Xiaoting Wang

In this article, a novel adaptive controller is designed for Euler-Lagrangian systems under predefined time-varying state constraints. The proposed controller could achieve this objective without a priori knowledge of system parameters and,…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Viswa Narayanan Sankaranarayanan , Sumeet Gajanan Satpute , Spandan Roy , George Nikolakopoulos

This paper presents a survey on quantum control theory and applications from a control systems perspective. Some of the basic concepts and main developments (including open-loop control and closed-loop control) in quantum control theory are…

Quantum Physics · Physics 2011-01-12 Daoyi Dong , Ian R Petersen

This paper develops a new control framework for linear parameter-varying (LPV) systems with time-varying state delays by integrating parameter-dependent Lyapunov functions with integral quadratic constraints (IQCs). A novel delay-dependent…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Fen Wu

For controlling periodic orbits with delayed feedback methods the periodicity has to be known a priori. We propose a simple scheme, how to detect the period of orbits from properties of the control signal, at least if a periodic but…

We study the quantum-jump-based feedback control on the entanglement shared between two qubits with one of them subject to decoherence, while the other qubit is under the control. This situation is very relevant to a quantum system…

Quantum Physics · Physics 2015-05-19 S. C. Hou , X. L. Huang , X. X. Yi

We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO_2 laser. The method is able to estimate the delay time with an error of the order of the sampling…

chao-dyn · Physics 2009-10-31 M. J. Bünner , M. Ciofini , A. Giaquinta , R. Hegger , H. Kantz , R. Meucci , A. Politi

We demonstrate that quantum Lyapunov control provides an effective strategy for enhancing superconducting correlations in the Fermi-Hubbard model without requiring careful parameter tuning. While photoinduced superconductivity is sensitive…

Quantum Physics · Physics 2025-09-30 Oleksandr Povitchan , Denys I. Bondar , Andrii G. Sotnikov

Closed-loop or feedback control ratchets use information about the state of the system to operate with the aim of maximizing the performance of the system. In this paper we investigate the effects of a time delay in the feedback for a…

Statistical Mechanics · Physics 2007-12-13 M. Feito , F. J. Cao

This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear…

Optimization and Control · Mathematics 2024-11-20 Anusree Rajan , Kushagra Parmeshwar , Pavankumar Tallapragada

A Lyapunov-based control design for natural trajectory-tracking problems is analyzed for quantum states where the analysis in the generic case is not applicable. Using dynamical systems tools we show almost global asymptotic stability for…

Quantum Physics · Physics 2010-08-06 Xiaoting Wang , Sonia Schirmer

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

This paper proposes a dynamic quantum-assisted co-design framework for nonlinear closed-loop systems in which controller parameters and Lyapunov-certificate parameters are redesigned jointly at successive decision epochs. Unlike…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Milad Hasanzadeh , Amin Kargarian , Mehdi Farasat