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We consider the bilinear Schroedinger equation on a bounded one-dimensional domain and we provide explicit times such that the global exact controllability is verified. In addition, we show how to construct controls for the global…

Mathematical Physics · Physics 2019-05-03 Alessandro Duca

Quantum control requires full knowledge of the system many-body Hamiltonian. In many cases this information is not directly available due to restricted access to the system. Here we show how to indirectly estimate all the coupling strengths…

Quantum Physics · Physics 2009-03-13 Daniel Burgarth , Koji Maruyama , Franco Nori

The feedback stabilization problem for ensembles of coupled spin 1/2 systems is discussed from a control theoretic perspective. The noninvasive nature of the bulk measurement allows for a fully unitary and deterministic closed loop. The…

Quantum Physics · Physics 2018-08-30 Claudio Altafini

Recent developments in data-driven control have revived interest in the behavioral approach to systems theory, where systems are defined as sets of trajectories rather than being described by a specific model or representation. However,…

Optimization and Control · Mathematics 2026-04-08 L. P. Wieringa , A. Padoan , F. Dorfler , J. Eising

Motivated by the development and deployment of large-scale dynamical systems, often composed of geographically distributed smaller subsystems, we address the problem of verifying their controllability in a distributed manner. In this work…

Optimization and Control · Mathematics 2015-06-19 Joao Carvalho , Sergio Pequito , A. Pedro Aguiar , Soummya Kar , Karl H. Johansson

We introduce the concept of control centrality to quantify the ability of a single node to control a directed weighted network. We calculate the distribution of control centrality for several real networks and find that it is mainly…

Physics and Society · Physics 2013-01-01 Yang-Yu Liu , Jean-Jacques Slotine , Albert-László Barabási

In decentralized control problems, a standard approach is to specify the set of allowable decentralized controllers as a closed subspace of linear operators. This then induces a corresponding set of Youla parameters. Previous work has shown…

Systems and Control · Computer Science 2014-01-29 Laurent Lessard , Sanjay Lall

Layered control architectures have been a standard paradigm for efficiently managing complex constrained systems. A typical architecture consists of: i) a higher layer, where a low-frequency planner controls a simple model of the system,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Charis Stamouli , Anastasios Tsiamis , Manfred Morari , George J. Pappas

Synchronization transitions are investigated in coupled chaotic maps. Depending on the relative weight of linear versus nonlinear instability mechanisms associated to the single map two different scenarios for the transition may occur. When…

Chaotic Dynamics · Physics 2009-11-11 Massimo Cencini , Alessandro Torcini

We say that a control system is locally controllable if the attainable set from any state $x$ contains an open neighborhood of $x$, while it is controllable if the attainable set from any state is the entire state manifold. We show in this…

Optimization and Control · Mathematics 2021-10-29 Ugo Boscain , Daniele Cannarsa , Valentina Franceschi , Mario Sigalotti

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

In this paper, we present a Lyapunov-based homogeneous controller for the stabilization of a perturbed chain of integrators of arbitrary order $r\geq 1$. The proposed controller is based on homogeneous controller for stabilization of pure…

Optimization and Control · Mathematics 2014-10-14 Mohamed Harmouche , Salah Laghrouche , Yacine Chitour

Several theorems on the volume computing of the polyhedron spanned by a n-dimensional vector set with the finite-interval parameters are presented and proved firstly, and then are used in the analysis of the controllable regions of the…

Systems and Control · Computer Science 2021-03-10 Mingwang Zhao

Indirect controllability of an arbitrary finite dimensional quantum system (N-dimensional qudit) through a quantum accessor is investigated. Here, The qudit is coupled to a quantum accessor which is modeled as a fully controllable spin…

Quantum Physics · Physics 2009-11-13 H. C. Fu , Hui Dong , X. F. Liu , C. P. Sun

This paper proposes a framework for analysis of generalized homogeneous control systems under state quantization. In particular, it addresses the challenge of maintaining finite/fixed-time stability of nonlinear systems in the presence of…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Yu Zhou , Andrey Polyakov , Gang Zheng , Masaaki Nagahara

We present detailed analysis of the convergence properties and effectiveness of Lyapunov control design for bilinear Hamiltonian quantum systems based on the application of LaSalle's invariance principle and stability analysis from…

Quantum Physics · Physics 2009-10-01 Xiaoting Wang , Sonia Schirmer

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

In this paper, we study the necessary and sufficient conditions for ensuring the well-posedness of the stochastic singular systems. Moreover, we investigate the stochastic singular linear-quadratic control problems, considering both finite…

Optimization and Control · Mathematics 2024-09-04 Mengzhen Li , Tianyang Nie , Zhen Wu

In this paper we extend the work in the conference paper 'On the Controllability and Observability of Heterogeneous Networked Systems with distinct node dimensions and inner-coupling matrices' wherein the controllability and observability…

Optimization and Control · Mathematics 2024-10-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

We prove a converse Lyapunov theorem for boundedness of reachability sets for a general class of control systems whose flow is Lipschitz continuous on compact intervals with respect to trajectory-dominated inputs. We show that this…

Optimization and Control · Mathematics 2026-03-05 Patrick Bachmann , Andrii Mironchenko
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