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In this paper, we address two minimal controllability problems, where the goal is to determine a minimal subset of state variables in a linear time-invariant system to be actuated to ensure controllability under additional constraints.…

最优化与控制 · 数学 2016-04-20 Sergio Pequito , Guilherme Ramos , Soummya Kar , A. Pedro Aguiar , Jaime Ramos

Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as…

最优化与控制 · 数学 2019-10-15 Tong Zhou

This paper investigates the minimal number of inputs/outputs required to guarantees the controllability/observability of a system, under the condition that its state transition matrix (STM) is prescribed. It has been proved that this…

系统与控制 · 计算机科学 2017-09-12 Tong Zhou

In this paper, we propose to study on sufficient control of complex networks which is to control a sufficiently large portion of the network, where only the quantity of controllable nodes matters. To the best of our knowledge, this is the…

系统与控制 · 电气工程与系统科学 2023-05-17 Xiang Li , Guoqi Li , Leitao Gao , Beibei Li , Gaoxi Xiao

Given a linear system, we consider the problem of finding a small set of variables to affect with an input so that the resulting system is controllable. We show that this problem is NP-hard; indeed, we show that even approximating the…

最优化与控制 · 数学 2014-05-06 Alex Olshevsky

We consider a minimal controllability problem (MCP), which determines the minimum number of input nodes for a descriptor system to be structurally controllable. We investigate the "forbidden nodes" in descriptor systems, denoting nodes that…

最优化与控制 · 数学 2023-04-12 Shun Terasaki , Kazuhiro Sato

In engineering applications, one of the major challenges today is to develop reliable and robust control algorithms for complex networked systems. Controllability and observability of such systems play a crucial role in the design process.…

数值分析 · 数学 2016-11-14 Michael Dellnitz , Stefan Klus

Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially…

物理与社会 · 物理学 2013-10-23 Zhengzhong Yuan , Chen Zhao , Zengru Di , Wen-Xu Wang , Ying-Cheng Lai

This paper looks at two problems, minimum constrained input selection and minimum cost constrained input selection for state space structured systems. The input matrix is constrained in the sense that the set of states that each input can…

最优化与控制 · 数学 2017-05-04 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

Reversibility is a key property of Markov chains, central to algorithms such as Metropolis-Hastings and other MCMC methods. Yet many applications yield non-reversible chains, motivating the problem of approximating them by reversible ones…

数值分析 · 数学 2026-02-27 Stefano Cipolla , Fabio Durastante , Miryam Gnazzo , Beatrice Meini

Network control refers to a very large and diverse set of problems including controllability of linear time-invariant dynamical systems, where the objective is to select an appropriate input to steer the network to a desired state. There…

数据结构与算法 · 计算机科学 2016-03-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

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

The minimum number of inputs needed to control a network is frequently used to quantify its controllability. Control of linear dynamics through a minimum set of inputs, however, often has prohibitively large energy requirements and there is…

计算工程、金融与科学 · 计算机科学 2022-12-12 Samie Alizadeh , Márton Pósfai , Abdorasoul Ghasemi

Minimal controllability problem plays an important role in the field of network control. A New concept-Minimum Perfect Critical Set (MPCS)is proposed. Four different MPCSs were found for k-distant tree graphs. Based on this concept of MPCS,…

最优化与控制 · 数学 2022-02-10 Li Dai

In this work, we consider the controllability of a discrete-time linear dynamical system with sparse control inputs. Sparsity constraints on the input arises naturally in networked systems, where activating each input variable adds to the…

系统与控制 · 电气工程与系统科学 2020-05-14 Geethu Joseph , Chandra R. Murthy

We consider minimal controllability problems (MCPs) on linear structural descriptor systems. We address two problems of determining the minimum number of input nodes such that a descriptor system is structurally controllable. We show that…

最优化与控制 · 数学 2021-05-05 Shun Terasaki , Kazuhiro Sato

Given a conjunctive Boolean network (CBN) with $n$ state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is…

数据结构与算法 · 计算机科学 2020-06-09 Eyal Weiss , Michael Margaliot , Guy Even

Ever since entanglement was identified as a computational and cryptographic resource, researchers have sought efficient ways to tell whether a given density matrix represents an unentangled, or separable, state. This paper gives the first…

量子物理 · 物理学 2007-05-23 Lawrence M. Ioannou

We deal with algorithmic techniques for minimal cost input-connectivity while maintaining controllability of linear systems. The input matrix is assumed to be constrained in the sense that the set of states that each input (if present) can…

最优化与控制 · 数学 2019-08-27 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

This article treats three problems of sparse and optimal multiplexing a finite ensemble of linear control systems. Given an ensemble of linear control systems, multiplexing of the controllers consists of an algorithm that selects, at each…

最优化与控制 · 数学 2019-05-27 Yogesh Kumar , Sukumar Srikant , Debasish Chatterjee
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