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Influence diagram is a graphical representation of belief networks with uncertainty. This article studies the structural properties of a probabilistic model in an influence diagram. In particular, structural controllability theorems and…

Artificial Intelligence · Computer Science 2013-03-25 Brian Y. Chan , Ross D. Shachter

In this note, we investigate the structural controllability and observability indices of structured systems. We provide counter-examples showing that an existing graph-theoretic characterization for the structural controllability index…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Yuan Zhang , Ranbo Cheng , Ziyuan Luo , Yuanqing Xia

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

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…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Geethu Joseph , Chandra R. Murthy

In this paper, we study the control of a class of time-invariant linear ensemble systems whose natural dynamics are linear in the system parameter. This class of ensemble control systems arises from practical engineering and physical…

Optimization and Control · Mathematics 2014-10-07 Jr-Shin Li , Ji Qi

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…

Optimization and Control · Mathematics 2019-05-27 Yogesh Kumar , Sukumar Srikant , Debasish Chatterjee

This article determines and characterizes the minimal number of actuators needed to ensure structural controllability of a linear system under structural alterations that can severe the connection between any two states. We assume that…

Systems and Control · Computer Science 2017-03-23 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

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

Structural controllability challenges arise from imprecise system modeling and system interconnections in large scale systems. In this paper, we study structural control of bilinear systems on the special Euclidean group. We employ graph…

Optimization and Control · Mathematics 2024-06-18 A. Sanand Amita Dilip , Chirayu D. Athalye

This paper explores the structural controllability of switched linear continuous-time systems. It first identifies a gap in the proof for a pivotal criterion for the structural controllability of switched linear systems in the literature.…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Yuan Zhang , Yuanqing Xia , Aming Li

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 study possibilities to control an ensemble (a parameterized family) of nonlinear control systems by a single parameter-independent control. Proceeding by Lie algebraic methods we establish genericity of exact controllability property for…

Optimization and Control · Mathematics 2016-03-24 A. Agrachev , Yu. Baryshnikov , A. Sarychev

In this paper, the strong structural controllability of the network is analyzed. Based on the unified definition of equitable partition for kinds of scene, the upper bound of the strong structural controllable subspace in different…

Optimization and Control · Mathematics 2022-04-27 Lanhao Zhao

An alternative formulation for the controllability problem of single input linear positive systems is presented. Driven by many industrial applications, this formulations focuses on the case where the region of interest is only a subset of…

Optimization and Control · Mathematics 2017-04-25 Yashar Zeinaly , Jan H. van Schuppen , Bart De Schutter

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

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 prove that strong structural controllability of a pair of structural matrices $(\mathcal{A},\mathcal{B})$ can be verified in time linear in $n + r + \nu$, where $\mathcal{A}$ is square, $n$ and $r$ denote the number of columns of…

Optimization and Control · Mathematics 2016-11-18 Alexander Weber , Gunther Reissig , Ferdinand Svaricek

It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classical result does not generalize to infinite-dimensional…

Optimization and Control · Mathematics 2021-07-29 Bernd Kolar , Markus Schöberl

This paper deals with structural controllability of leader-follower networks. The system matrix defining the network dynamics is a pattern matrix in which a priori given entries are equal to zero, while the remaining entries take nonzero…

Optimization and Control · Mathematics 2018-10-16 Jiajia Jia , Harry L. Trentelman , Wouter Baar , Kanat M. Camlibel

This document explores structural controllability of polynomial dynamical systems or polysystems. We extend Lin's concept of structural controllability for linear systems, offering hypergraph-theoretic methods to rapidly assess strong…

Optimization and Control · Mathematics 2023-10-17 Joshua Pickard