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Even after the proposal of various solution algorithms, the precise computational complexity of checking whether a Conditional Temporal Network is Dynamically Controllable had still remained widely open. This issue gets settled in this…

Data Structures and Algorithms · Computer Science 2016-08-31 Massimo Cairo , Romeo Rizzi

A common goal in the control of a large network is to minimize the number of driver nodes or control inputs. Yet, the physical determination of control signals and the properties of the resulting control trajectories remain widely…

Disordered Systems and Neural Networks · Physics 2013-05-28 Jie Sun , Adilson E. Motter

In Networked Control Systems (NCS) impairments of the communication channel can be disruptive to stability and performance. In this paper, we consider the problem of scheduling the access to limited communication resources for a number of…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Masoud Bahraini , Mario Zanon , Paolo Falcone , Alessandro Colombo

In this paper, we propose a novelty-based metric for quantitative characterization of the controllability of complex networks. This inherently bounded metric describes the average angular separation of an input with respect to the past…

Optimization and Control · Mathematics 2014-09-30 Gautam Kumar , Delsin Menolascino , MohammadMehdi Kafashan , ShiNung Ching

This paper presents new results and reinterpretation of existing conditions for strong structural controllability in a structured network determined by the zero/non-zero patterns of edges. For diffusively-coupled networks with self-loops,…

General Topology · Mathematics 2025-09-08 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

Bayesian Networks (BN) provide robust probabilistic methods of reasoning under uncertainty, but despite their formal grounds are strictly based on the notion of conditional dependence, not much attention has been paid so far to their use in…

Artificial Intelligence · Computer Science 2013-01-30 Luigi Portinale , Andrea Bobbio

Gene regulatory networks can be successfully modeled as Boolean networks. A much discussed hypothesis says that such model networks reproduce empirical findings the best if they are tuned to operate at criticality, i.e. at the borderline…

Molecular Networks · Quantitative Biology 2016-10-12 Pablo Villegas , José Ruiz-Franco , Jorge Hidalgo , Miguel A. Muñoz

In this article we study the local controllability of the one-dimensional Cahn-Hilliard-Navier-Stokes equation, that is Cahn-Hilliard-Burgers' equation, around a certain steady state using a localized interior control acting only in the…

Optimization and Control · Mathematics 2026-02-02 Manika Bag , Sheetal Dharmatti , Subrata Majumdar , Debanjana Mitra

In this paper, we propose a system-level approach for verifying the safety of neural network controlled systems, combining a continuous-time physical system with a discrete-time neural network based controller. We assume a generic model for…

Artificial Intelligence · Computer Science 2020-11-11 Arthur Clavière , Eric Asselin , Christophe Garion , Claire Pagetti

This paper is devoted to studying the null and approximate controllability of two linear coupled parabolic equations posed on a smooth domain of R^N (N>1) with coupling terms of zero and first orders and one control localized in some…

Analysis of PDEs · Mathematics 2020-04-02 Michel Duprez , Pierre Lissy

The aim of this paper is to characterize an important class of marked digraphs, called structurally observable graphs (SOGs), and to solve two minimum realization problems. To begin with, by exploring structural observability of large-scale…

Systems and Control · Electrical Eng. & Systems 2021-06-30 Shiyong Zhu , Jianquan Lu , Daniel W. C. Ho , Jinde Cao

A Boolean network (BN) is a transformation of the set of Boolean configurations of a given length. A trapspace of a BN is a subcube invariant by the BN; a principal trapspace is the smallest trapspace containing a given configuration; a…

Discrete Mathematics · Computer Science 2026-04-03 Maximilien Gadouleau

The stability of Boolean networks has attracted much attention due to its wide applications in describing the dynamics of biological systems. During the past decades, much effort has been invested in unveiling how network structure and…

Physics and Society · Physics 2018-03-21 Jiannan Wang , Sen Pei , Wei Wei , Xiangnan Feng , Zhiming Zheng

Connectivity and controllability of a complex network are two important issues that guarantee a networked system to function. Robustness of connectivity and controllability guarantees the system to function properly and stably under various…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Chengpei Wu , Yang Lou , Ruizi Wu , Wenwen Liu , Junli Li

This letter deals with the controllability issue of complex networks. An index is chosen to quantitatively measure the extent of controllability of given network. The effect of this index is analyzed based on empirical studies on various…

Systems and Control · Computer Science 2017-03-08 Ning Cai

In this paper, we consider a population of individuals who have actions and opinions, which coevolve, mutually influencing one another on a complex network structure. In particular, we formulate a control problem for this social network, in…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Roberta Raineri , Mengbin Ye , Lorenzo Zino

Given a population of interconnected input-output agents repeatedly exposed to independent random inputs, we talk of correlated variability when agents' outputs are variable (i.e., they change randomly at each input repetition) but…

Quantitative Methods · Quantitative Biology 2021-10-15 Marcela Ordorica Arango , Alessio Franci

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

The notion of strong structural controllability (s-controllability) allows for determining controllability properties of large linear time-invariant systems even when numerical values of the system parameters are not known a priori. The…

Optimization and Control · Mathematics 2019-02-01 Kumar Yashashwi , Shana Moothedath , Prasanna Chaporkar

A Boolean network (BN) with $n$ components is a discrete dynamical system described by the successive iterations of a function $f:\{0,1\}^n \to \{0,1\}^n$. This model finds applications in biology, where fixed points play a central role.…

Combinatorics · Mathematics 2022-02-10 Florian Bridoux , Amélia Durbec , Kévin Perrot , Adrien Richard