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Coherent feedback control of quantum systems has demonstrable advantages over measurement-based control, but so far there has been little work done on coherent estimators and more specifically coherent observers. Coherent observers are…

Quantum Physics · Physics 2015-07-29 Zibo Miao , Michael R. Hush , Matthew James

In this paper, we first establish an exponential stability result for a class of linear switched systems and then apply this result to show the existence of the distributed observer for a discrete-time leader system over jointly connected…

Systems and Control · Computer Science 2018-12-05 Tao Liu , Jie Huang

The problem of finite/fixed-time cooperative state estimation is considered for a class of quasilinear systems with nonlinearities satisfying a H\"older condition. A strongly connected nonlinear distributed observer is designed under the…

Optimization and Control · Mathematics 2024-07-09 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

A time-invariant, linear, distributed observer is described for estimating the state of an $m>0$ channel, $n$-dimensional continuous-time linear system of the form $ \dot{x} = Ax,\ y_i = C_i x,\ i \in \{1,2,\cdots, m\}$. The state $x$ is…

Systems and Control · Computer Science 2020-03-16 L. Wang , A. S. Morse

This note investigates the distributed estimation problem for continuous-time linear time-invariant (LTI) systems observed by a network of observers. Each observer in the network has access to only part of the output of the observed system,…

Optimization and Control · Mathematics 2017-08-07 Weixin Han , Harry L. Trentelman , Zhenhua Wang , Yi Shen

In this paper we propose a new state observer design technique for nonlinear systems. It consists of an extension of the recently introduced parameter estimation-based observer, which is applicable for systems verifying a particular…

Dynamical Systems · Mathematics 2020-11-16 Romeo Ortega , Alexey Bobtsov , Nikolay Nikolaev , Johannes Schiffer , Denis Dochain

We previously extended Luenberger's approach for observer design to the quantum case, and developed a class of coherent observers which tracks linear quantum stochastic systems in the sense of mean values. In light of the fact that the…

Quantum Physics · Physics 2015-09-18 Zibo Miao , Matthew R. James , Valery A. Ugrinovskii

A simply structured distributed observer is described for estimating the state of a discrete-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Computer Science 2019-03-14 Lili Wang , Ji Liu , A. Stephen Morse , Brian D. O. Anderson

A novel approach to solve the problem of distributed state estimation of linear time-invariant systems is proposed in this paper. It relies on the application of parameter estimation-based observers, where the state observation task is…

Systems and Control · Electrical Eng. & Systems 2020-05-28 Romeo Ortega , Emmanuel Nuño , Alexei Bobtsov

The robust distributed state estimation for a class of continuous-time linear time-invariant systems is achieved by a novel kernel-based distributed observer, which, for the first time, ensures fixed-time convergence properties. The…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Pudong Ge , Peng Li , Boli Chen , Fei Teng

Quantum coherence is the key resource for quantum technology, with applications in quantum optics, information processing, metrology and cryptography. Yet, there is no universally efficient method for quantifying coherence either in…

Quantum Physics · Physics 2014-10-24 Davide Girolami

This paper extends the application of a recently proposed nonlinear observer (cubic observer) for state estimation of linear systems with unknown inputs and delays. The generalized structure proposed here, makes it possible to establish a…

Optimization and Control · Mathematics 2019-12-24 Mohammad Mahdi Share Pasand

With a continuous-time formulation of the multihop decomposition, we propose a distributed hybrid observer for a sensor network where the plant and local observers run in continuous time and the information exchange among the sensing nodes…

Dynamical Systems · Mathematics 2022-11-23 Riccardo Bertollo , Pablo Millán , Luis Orihuela , Alexandre Seuret , Luca Zaccarian

An observer-based Hamiltonian identification algorithm for quantum systems is proposed. For the 2-level case an exponential convergence result based on averaging arguments and some relevant transformations is provided. The convergence for…

Mathematical Physics · Physics 2007-05-23 Mazyar Mirrahimi , Pierre Rouchon

A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Lili Wang , Ji Liu , A. Stephen Morse

In the theory of quantum dynamical filtering, one of the biggest issues is that the underlying system dynamics represented by a quantum stochastic differential equation must be known exactly in order that the corresponding filter provides…

Quantum Physics · Physics 2011-11-09 Naoki Yamamoto

We investigate the possibility of realising effective quantum gates between two atoms in distant cavities coupled by an optical fibre. We show that highly reliable swap and entangling gates are achievable. We exactly study the stability of…

Quantum Physics · Physics 2007-05-23 Alessio Serafini , Stefano Mancini , Sougato Bose

We consider the problem of distributed state estimation of a linear time-invariant (LTI) system by a network of sensors. We develop a distributed observer that guarantees asymptotic reconstruction of the state for the most general class of…

Systems and Control · Computer Science 2017-04-27 Aritra Mitra , Shreyas Sundaram

Optical parametric oscillators are among the best-developed quantum light sources, having already been adopted in precision measurement and underpinning various quantum computing and communication paradigms. Meanwhile, progress in photonic…

Quantum Physics · Physics 2025-12-23 Alex O. C. Davis , Alex I. Flint

This paper deals with the state estimation of linear time-invariant systems using distributed observers with local sampled-data measurement and aperiodic communication. Each observer agent perceives partial information of the system to be…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Shimin Wang , Ya-Jun Pan , Martin Guay