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In this paper, we develop a notion of controllability for hypergraphs via tensor algebra and polynomial control theory. Inspired by uniform hypergraphs, we propose a new tensor-based multilinear dynamical system representation, and derive a…

最优化与控制 · 数学 2021-03-25 Can Chen , Amit Surana , Anthony Bloch , Indika Rajapakse

In this paper we will generalize the Kalman rank condition for the null controllability to $n$-coupled linear degenerate parabolic systems with constant coefficients, diagonalizable diffusion matrix, and $m$-controls. For that we prove a…

最优化与控制 · 数学 2017-05-10 E. M. Ait Benhassi , M. Fadili , L. Maniar

In this paper, we study the conditions to be satisfied by a discrete-time linear system to ensure output controllability using sparse control inputs. A set of necessary and sufficient conditions can be directly obtained by extending the…

系统与控制 · 电气工程与系统科学 2022-01-19 Geethu Joseph

This paper is concerned with the notions of admissibility, exact controllability, exact observability and regularity of linear systems in the Banach space setting. It is proved that admissible controllability, exact controllability,…

泛函分析 · 数学 2016-06-23 Zhan-Dong Mei , Ji-Gen Peng

Controlling real-world networked systems, including ecological, biomedical, and engineered networks that exhibit higher-order interactions, remains challenging due to inherent nonlinearities and large system scales. Despite extensive…

最优化与控制 · 数学 2026-03-23 Joshua Pickard , Xin Mao , Can Chen

This paper provides a general theory for characterizing and constructing a decoherence-free (DF) subsystem for an infinite dimensional linear open quantum system. The main idea is that, based on the Heisenberg picture of the dynamics rather…

量子物理 · 物理学 2014-08-28 Naoki Yamamoto

We describe a particular control method for a system controlled by several actuators with the same control constants. We show under certain assumptions that the control constants for the whole system can be obtained immediately from the…

最优化与控制 · 数学 2022-05-26 Stephen Montgomery-Smith

A notion of $L^p$-exact controllability is introduced for linear controlled (forward) stochastic differential equations, for which several sufficient conditions are established. Further, it is proved that the $L^p$-exact controllability,…

最优化与控制 · 数学 2016-03-28 Yanqing Wang , Donghui Yang , Jiongmin Yong , Zhiyong Yu

In this paper we introduce the concept of universal stabilizability: the condition that every solution of a nonlinear system can be globally stabilized. We give sufficient conditions in terms of the existence of a control contraction…

最优化与控制 · 数学 2013-11-21 Ian R. Manchester , Jean-Jacques E. Slotine

The paper deals with the decoupling problem of general quasilinear first order systems in two independent variables. We consider either the case of homogeneous and autonomous systems or the one of nonhomogeneous and/or nonautonomous…

数学物理 · 物理学 2021-08-03 Matteo Gorgone , Francesco Oliveri , Maria Paola Speciale

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system…

系统与控制 · 电气工程与系统科学 2023-03-20 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173,…

Hybrid systems are characterized by having an interaction between continuous dynamics and discrete events. The contribution of this paper is to provide hybrid systems with a novel geometric formulation so that controls can be added. Using…

最优化与控制 · 数学 2020-06-23 M. Barbero Liñán , J. Cortés , D. Martín de Diego , S. Martínez , M. C. Muñoz Lecanda

The problem of model discriminability and parameter identifiability for dephasing two-level systems subject to Hamiltonian control is studied. Analytic solutions of the Bloch equations are used to derive explicit expressions for observables…

量子物理 · 物理学 2014-12-16 Erling Gong , Weiwei Zhou , Sophie Schirmer

This paper deals with controllability of dynamical networks. It is often unfeasible or unnecessary to fully control large-scale networks, which motivates the control of a prescribed subset of agents of the network. This specific form of…

最优化与控制 · 数学 2016-08-09 Henk J. van Waarde , M. Kanat Camlibel , Harry L. Trentelman

We address an open problem in ensemble control: Whether there exist controllable linear ensemble systems over multi-dimensional parameterization spaces? We provide a negative result: Any real-analytic linear ensemble system is not…

系统与控制 · 电气工程与系统科学 2022-07-08 Xudong Chen

Controlling a dynamical system is the ability of changing its configuration arbitrarily through a suitable choice of inputs. It is a very well studied concept in control theory, with wide ranging applications in medicine, biology, social…

系统与控制 · 电气工程与系统科学 2020-07-23 Sergiu Ivanov , Ion Petre

In this paper, we study graphical conditions for structural controllability and accessibility of drifted bilinear systems over Lie groups. We consider a bilinear control system with drift and controlled terms that evolves over the special…

最优化与控制 · 数学 2021-03-25 Xing Wang , Bo Li , Jr-Shin Li , Ian R. Petersen , Guodong Shi

In control theory, researchers need to understand a system's local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space…

最优化与控制 · 数学 2025-03-26 Thiago Matheus Cavalheiro , Alexandre José Santana , Victor Ayala

This analysis is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the system, is corrected with a polarizability term, involving the field…

偏微分方程分析 · 数学 2014-06-17 Nabile Boussaid , Marco Caponigro , Thomas Chambrion