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We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an…

无序系统与神经网络 · 物理学 2007-05-23 Francesco Sorrentino , Mario di Bernardo , Franco Garofalo , Guanrong Chen

In this paper, the controllability and observability of linear multi-agent systems over matrix-weighted signed networks are analyzed. Firstly, the definition of equitable partition of matrix-weighted signed multi-agent system is given, and…

最优化与控制 · 数学 2022-04-05 Lanhao Zhao , Zhijian Ji , Yungang Liu , Chong Lin

This paper presents computational methods for families of linear systems depending on a parameter. Such a family is called ensemble controllable if for any family of parameter-dependent target states and any neighborhood of it there is a…

最优化与控制 · 数学 2021-06-02 Michael Schönlein

This paper gives a summary of a body of work at the intersection of control theory and smooth nonlinear dynamics. The main idea is to transfer the concept of uniform hyperbolicity, central to the theory of smooth dynamical systems, to…

最优化与控制 · 数学 2017-01-16 Christoph Kawan

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…

最优化与控制 · 数学 2024-09-04 Mengzhen Li , Tianyang Nie , Zhen Wu

We study the dynamics of systems on networks from a linear algebraic perspective. The control theoretic concept of controllability describes the set of states that can be reached for these systems. Under appropriate conditions, there is a…

We investigate the stabilizability of discrete-time linear switched systems, when the sole control action of the controller is the switching signal, and when the controller has access to the state of the system in real time. Despite their…

最优化与控制 · 数学 2021-05-20 Carl P. Dettmann , R. M. Jungers , P. Mason

The paper is devoted to the problem of global exact controllability for a wide class of neutral and mixed time-delay systems. We consider an equivalent operator model in Hilbert space and formulate steering conditions of controllable states…

最优化与控制 · 数学 2015-11-13 R. Rabah , G. M. Sklyar , P. Yu. Barkhayev

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…

最优化与控制 · 数学 2024-10-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

This paper is devoted to the controllability of linear systems of two coupled parabolic equations when the coupling involves a space dependent first order term. This system is set on an bounded interval, and the first equation is controlled…

偏微分方程分析 · 数学 2017-01-20 Michel Duprez

Statistical linearization has recently seen a particular surge of interest as a numerically cheap method for robust control of stochastic differential equations. Although it has already been successfully applied to control complex…

最优化与控制 · 数学 2023-07-06 Riccardo Bonalli , Clara Leparoux , Bruno Hérissé , Frédéric Jean

In this paper, we study the relative controllability of linear difference equations with multiple delays in the state by using a suitable formula for the solutions of such systems in terms of their initial conditions, their control inputs,…

最优化与控制 · 数学 2017-10-27 Guilherme Mazanti

The focus of this paper is on the null controllability of two kinds of coupled systems including both degenerate and non-degenerate equations with switching control. We first establish the observability inequality for measurable subsets in…

最优化与控制 · 数学 2023-08-21 Yuanhang Liu , Weijia Wu , Donghui Yang

We report conditions on a switching signal that guarantee that solutions of a switched linear systems converge asymptotically to zero. These conditions are apply to continuous, discrete-time and hybrid switched linear systems, both those…

最优化与控制 · 数学 2014-02-11 Jesus San Martin , Anthony G. O'Farrell

In this paper, we show that for discrete time-varying linear control systems uniform complete controllability implies arbitrary assignability of dichotomy spectrum of closed-loop systems. This result significantly strengthens the result in…

最优化与控制 · 数学 2019-08-14 Le Viet Cuong , Thai Son Doan

Here we present an expanded analysis of a model for the manipulation and control of observables in a strongly correlated, many-body system, which was first presented in [McCaul et al., eprint: arXiv:1911.05006]. A field-free, non-linear…

量子物理 · 物理学 2020-05-13 Gerard McCaul , Christopher Orthodoxou , Kurt Jacobs , George H. Booth , Denys I. Bondar

We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a…

最优化与控制 · 数学 2021-07-20 Stephan Gerster , Markus Bambach , Michael Herty , Muhammad Imran

We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

最优化与控制 · 数学 2021-03-16 Mohan Dantam , Amaury Pouly

This paper studies the controllability of networked multi-input-multi-output (MIMO) systems, in which the network topology is weighted and directed, and the nodes are heterogeneous higher-dimensional linear time-invariant (LTI) dynamical…

最优化与控制 · 数学 2020-06-23 Linying Xiang , Peiru Wang , Fei Chen , Guanrong Chen

This paper is devoted to the partial null controllability issue of parabolic linear systems with n equations. Given a bounded domain in R N, we study the effect of m localized controls in a nonempty open subset only controlling p components…

偏微分方程分析 · 数学 2017-01-20 Farid Ammar Khodja , Franz Chouly , Michel Duprez
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