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In this paper, controllability of systems defined on graphs is discussed. We consider the problem of controllability of the network for a family of matrices carrying the structure of an underlying directed graph. A one-to-one correspondence…

Systems and Control · Computer Science 2014-03-20 Nima Monshizadeh , Shuo Zhang , Kanat Camlibel

In pursuit of higher energy efficiency in computer networks, one subfield of green traffic engineering aims at reducing the size of a network during times of low traffic, while still guaranteeing the ability to route all occurring demands.…

Data Structures and Algorithms · Computer Science 2026-05-08 Markus Chimani , Max Ilsen

A controllable network can be driven from any initial state to any desired state using driver nodes. A set of driver nodes to control a network is not unique. It is important to characterize these driver nodes and select the right driver…

Systems and Control · Computer Science 2014-10-14 Ram Niwash Mahia , Deepak Fulwani , Mahaveer Singh

A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

Data Structures and Algorithms · Computer Science 2013-06-25 Martin Fink , Sergey Pupyrev

Using a graph-theoretic approach, we derive a new sufficient condition for observability of a Boolean control network (BCN). Based on this condition, we describe two algorithms: the first selects a set of nodes so that observing this set…

Optimization and Control · Mathematics 2020-06-09 Eyal Weiss , Michael Margaliot

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings , Kai Hoppmann-Baum , Janina Zittel

This work develops a novel power control framework for energy-efficient power control in wireless networks. The proposed method is a new branch-and-bound procedure based on problem-specific bounds for energy-efficiency maximization that…

Information Theory · Computer Science 2020-07-13 Bho Matthiesen , Alessio Zappone , Karl-L. Besser , Eduard A. Jorswieck , Merouane Debbah

We study the minimum dominating set problem as a representative combinatorial optimization challenge with a global topological constraint. The requirement that the backbone induced by the vertices of a dominating set should be a connected…

Data Analysis, Statistics and Probability · Physics 2023-10-25 Yusupjan Habibulla , Hai-Jun Zhou

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

We address the problem of computing a Minimal Dominating Set in highly dynamic distributed systems. We assume weak connectivity, i.e., the network may be disconnected at each time instant and topological changes are unpredictable. We make…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Swan Dubois , Mohamed-Hamza Kaaouachi , Franck Petit

An important open problem in the synthesis of passive controllers is to obtain a passive network that realizes an arbitrary given impedance function and contains the least possible number of elements. This problem has its origins in…

Systems and Control · Computer Science 2019-11-11 Timothy H. Hughes

Recent control trends are increasingly relying on communication networks and wireless channels to close the loop for Internet-of-Things applications. Traditionally these approaches are model-based, i.e., assuming a network or channel model…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Konstantinos Gatsis , George J. Pappas

We consider the minimum weight and smallest weight minimum-size dominating set problems in vertex-weighted graphs and networks. The latter problem is a two-objective optimization problem, which is different from the classic minimum weight…

Combinatorics · Mathematics 2024-01-23 Lukas Dijkstra , Andrei Gagarin , Vadim Zverovich

In this paper, we propose closed-form analytical expressions to determine the minimum number of driver nodes that is needed to control a specific class of networks. We consider swarm signaling networks with regular out-degree distribution…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Peng Sun , Robert E. Kooij , Roland Bouffanais

The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of…

Optimization and Control · Mathematics 2016-11-15 Fabrizio L. Cortesi , Tyler H. Summers , John Lygeros

The current driver nodes search methods are difficult to cope with large networks, and the solution process does not consider the node cost. In order to solve the practical control problem of networks with different node costs in finite…

Physics and Society · Physics 2023-08-16 Jiarui Zhang , Jian Huang , Ji Guang , Jialong Gao

Random linear network coding (RLNC) has been shown to efficiently improve the network performance in terms of reducing transmission delays and increasing the throughput in broadcast and multicast communications. However, it can result in…

Systems and Control · Computer Science 2016-10-25 Emmanouil Skevakis , Ioannis Lambadaris

This paper studies Gramian-based reachability metrics for bilinear control systems. In the context of complex networks, bilinear systems capture scenarios where an actuator not only can affect the state of a node but also interconnections…

Systems and Control · Computer Science 2016-02-05 Yingbo Zhao , Jorge Cortés

Our aim here is to address the problem of decomposing a whole network into a minimal number of ego-centered subnetworks. For this purpose, the network egos are picked out as the members of a minimum dominating set of the network. However,…

Social and Information Networks · Computer Science 2016-08-22 Moses A. Boudourides , Sergios T. Lenis

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.…

Numerical Analysis · Mathematics 2016-11-14 Michael Dellnitz , Stefan Klus
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