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In mathematics and engineering, control theory is concerned with the analysis of dynamical systems through the application of suitable control inputs. One of the prominent problems in control theory is controllability which concerns the…

Cellular Automata and Lattice Gases · Physics 2026-04-14 Franco Bagnoli , Sara Dridi , Bassem Sellami , Amira Mouakher , Samira El Yacoubi

Complete controllability is a fundamental issue in the field of control of quantum systems, not least because of its implications for dynamical realizability of the kinematical bounds on the optimization of observables. In this paper we…

Quantum Physics · Physics 2009-11-07 H. Fu , S. G. Schirmer , A. I. Solomon

Numerous lines of experimental, numerical and analytical evidence indicate that it is surprisingly easy to locate optimal controls steering quantum dynamical systems to desired objectives. This has enabled the control of complex quantum…

Quantum Physics · Physics 2015-05-13 Raj Chakrabarti , Herschel Rabitz

Our ability to control network dynamical systems is often hindered by constraints on the number and nature of the available control actions, which make controlling the whole network unfeasible. In this manuscript, we focus on the case where…

Optimization and Control · Mathematics 2022-02-14 Camilla Ancona , Francesco Lo Iudice , Antonio Coppola , Pietro De Lellis , Franco Garofalo

This paper considers the controllability problem for multi-agent systems. In particular, the structural controllability of multi-agent systems under switching topologies is investigated. The structural controllability of multi-agent systems…

Multiagent Systems · Computer Science 2012-03-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

This paper provides a framework for the control of quantum mechanical systems with scattering states, i.e., systems with continuous spectra. We present the concept and prove a criterion of the approximate strong smooth controllability. Our…

Quantum Physics · Physics 2007-05-23 Re-Bing Wu , Tzyh-Jong Tarn , Chun-Wen Li

A Boolean network is a finite state discrete time dynamical system. At each step, each variable takes a value from a binary set. The value update rule for each variable is a local function which depends only on a selected subset of…

Dynamical Systems · Mathematics 2017-08-10 Zuguang Gao , Xudong Chen , Tamer Başar

This paper discusses fully coherent quantum feedback control, in which the sensors, controller, and actuators are quantum systems and interact coherently with the system to be controlled: as a result, the entire feedback loop is coherent.…

Quantum Physics · Physics 2007-05-23 Seth Lloyd

According to the exact controllability theory, the controllability is investigated analytically for two typical types of self-similar bipartite networks, i.e., the classic deterministic scale-free networks and Cayley trees. Due to their…

Physics and Society · Physics 2015-07-02 Ming Xu , Chuan-Yun Xu , Huan Wang , Cong-Zheng Deng , Ke-Fei Cao

In this paper we consider complex dynamical networks modeled by means of state space systems running in discrete time. We assume that the dependency structure of the variables within the (nonlinear) network equations is known and use…

Optimization and Control · Mathematics 2017-03-27 Jacob van der Woude

In a recent paper, it has been suggested that the controllability of a diffusively coupled complex network, subject to localized feedback loops at some of its vertices, can be assessed by means of a Master Stability Function approach, where…

Disordered Systems and Neural Networks · Physics 2007-08-09 Francesco Sorrentino

Control of open quantum systems is an essential ingredient to the realization of contemporary quantum science and technology. We demonstrate such control by employing a thermodynamically consistent framework, taking into account the fact…

Quantum Physics · Physics 2022-05-13 Shimshon Kallush , Roie Dann , Ronnie Kosloff

In recent years complex networks have gained increasing attention in different fields of science and engineering. The problem of controlling these networks is an interesting and challenging problem to investigate. In this paper we look at…

Optimization and Control · Mathematics 2016-11-17 Nicoletta Bof , Giacomo Baggio , Sandro Zampieri

This paper introduces and solves a structural controllability problem for ensembles of switched linear systems. All individual systems in the ensemble are sparse and governed by the same sparsity pattern, and undergo switching among…

Optimization and Control · Mathematics 2026-03-18 Haoyu Yin , Yi Li , Ouyang Du , Bruno Sinopoli , Xudong Chen

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

The formalism of quantum theory over discrete systems is extended in two significant ways. First, quantum evolutions are generalized to act over entire network configurations, so that nodes may find themselves in a quantum superposition of…

Quantum Physics · Physics 2024-10-30 Pablo Arrighi , Amélia Durbec , Matt Wilson

This letter deals with the controllability issue of complex networks. An index is chosen to quantitatively measure the extent of controllability of given network. The effect of this index is analyzed based on empirical studies on various…

Systems and Control · Computer Science 2017-03-08 Ning Cai

Controllability of complex networks arises in many technological problems involving social, financial, road, communication, and smart grid networks. In many practical situations, the underlying topology might change randomly with time, due…

Systems and Control · Computer Science 2020-01-08 Fernando Gama , Elvin Isufi , Alejandro Ribeiro , Geert Leus

The recent paper by W.-X. Wang, Y.-C. Lai, J. Ren, B. Li & C. Grebogi [arXiv:1107.2177v1] proposed a method for the control of complex networks with nonlinear dynamics based on linearizing the system around a finite number of local desired…

Disordered Systems and Neural Networks · Physics 2011-09-01 Jie Sun , Sean P. Cornelius , William L. Kath , Adilson E. Motter

We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges are allowed to be manifolds of arbitrary dimension with…

Mathematical Physics · Physics 2023-07-20 Aitor Balmaseda , Davide Lonigro , Juan Manuel Pérez-Pardo
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