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Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the…

Optimization and Control · Mathematics 2017-09-21 Mathias Hudoba de Badyn , Siavash Alemzadeh , Mehran Mesbahi

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · Physics 2008-02-03 B. Shklyar

This paper investigates the controllability of finite-dimensional linear fractional systems involving an uncertain parameter. We establish new results on the simultaneous and average controllability. In particular, we show that average…

Optimization and Control · Mathematics 2025-08-05 Idriss Boutaayamou , Fouad Et-Tahri , Lahcen Maniar

We define observability and detectability for linear switching systems as the possibility of reconstructing and respectively of asymptotically reconstructing the hybrid state of the system from the knowledge of the output for a suitable…

Dynamical Systems · Mathematics 2008-02-28 Elena De Santis , Maria Domenica Di Benedetto , Giordano Pola

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 consider systems of parabolic equations coupled in zero order terms in a star-like or a tree-like shape, with an internal control acting in only one of the equations. We obtain local exact controllability to the stationary solutions of…

Analysis of PDEs · Mathematics 2021-12-03 Catalin-George Lefter , Elena-Alexandra Melnig

In spite of the recent interest and advances in linear controllability of complex networks, controlling nonlinear network dynamics remains to be an outstanding problem. We develop an experimentally feasible control framework for nonlinear…

Molecular Networks · Quantitative Biology 2015-09-24 Le-Zhi Wang , Ri-Qi Su , Zi-Gang Huang , Xiao Wang , Wenxu Wang , Celso Grebogi , Ying-Cheng Lai

This paper studies controllability of a discrete-time linear dynamical system using nonnegative and sparse inputs. These constraints on the control input arise naturally in many real-life systems where the external influence on the system…

Systems and Control · Electrical Eng. & Systems 2020-04-24 Geethu Joseph

We propose new concepts in order to analyze and model the dependence structure between two time series. Our methods rely exclusively on the order structure of the data points. Hence, the methods are stable under monotone transformations of…

Statistics Theory · Mathematics 2015-02-02 Alexander Schnurr , Herold Dehling

Linear compartmental models are a widely used tool for analyzing systems arising in biology, medicine, and more. In such settings, it is essential to know whether model parameters can be recovered from experimental data. This is the…

Combinatorics · Mathematics 2025-11-18 Katherine Clemens , Jonathan Martinez , Anne Shiu , Michaela Thompson , Benjamin Warren

This paper introduces the new concepts of Functional Controllability and Functional Stabilizability, and establishes their duality with Functional Observability and Functional Detectability, respectively. A Generalized Separation Principle…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Tyrone Fernando , Mohamed Darouach

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

Optimization and Control · Mathematics 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi

Determining whether a nonlinear multi-input system is differentially flat remains challenging. One way to obtain computationally tractable sufficient conditions is to give complete characterizations of flat normal forms. We introduce a…

Dynamical Systems · Mathematics 2025-11-17 Georg Hartl , Conrad Gstöttner , Markus Schöberl

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Dynamical Systems · Mathematics 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

This paper addresses problems on the structural design of control systems taking explicitly into consideration the possible application to large-scale systems. We provide an efficient and unified framework to solve the following major…

Optimization and Control · Mathematics 2014-09-23 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

Physics and Society · Physics 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

Let $G$ be a simple, undirected graph on the vertex set $V=\{1,2,\ldots ,n\}$ and let $A$ be the adjacency matrix of $G.$ A non-empty subset $ \{i_{1},i_{2},\ldots ,i_{k}\}$ of $V$ is called a driver set for $G$ if the system…

Optimization and Control · Mathematics 2022-06-16 Johannes G. Maks

We address the study of controllability of a closed quantum system whose dynamical Lie algebra is generated by adjacency matrices of graphs. We characterize a large family of graphs that renders a system controllable. The key property is a…

Quantum Physics · Physics 2012-01-10 Chris Godsil , Simone Severini

In this paper we investigate undirected discrete graphical tree models when all the variables in the system are binary, where leaves represent the observable variables and where all the inner nodes are unobserved. A novel approach based on…

Statistics Theory · Mathematics 2012-03-06 Piotr Zwiernik , Jim Q. Smith

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
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