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This paper deals with strong structural controllability of linear structured systems in which the system matrices are given by zero/nonzero/arbitrary pattern matrices. Instead of assuming that the nonzero and arbitrary entries of the system…

Optimization and Control · Mathematics 2020-03-05 Jiajia Jia , Harry L. Trentelman , Nikolaos Charalampidis , M. Kanat Camlibel

This paper deals with strong structural controllability of linear systems. In contrast to existing work, the structured systems studied in this paper have a so-called zero/nonzero/arbitrary structure, which means that some of the entries…

Optimization and Control · Mathematics 2019-03-11 Jiajia Jia , Henk J. van Waarde , Harry L. Trentelman , M. Kanat Camlibel

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

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

Systems and Control · Computer Science 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

Given a state transition matrix (STM), we reinvestigate the problem of constructing the sparest input matrix with a fixed number of inputs to guarantee controllability. We give a new and simple graph theoretic characterization for the…

Optimization and Control · Mathematics 2018-09-17 Yuan Zhang , Tong Zhou

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 paper introduces a new controllability notion, termed partial strong structural controllability (PSSC), on a structured system whose entries of system matrices are either fixed zero or indeterminate, which naturally extends the…

Systems and Control · Electrical Eng. & Systems 2021-11-08 Yuan Zhang , Yuanqing Xia

This paper considers the design of sparse actuator schedules for linear time-invariant systems. An actuator schedule selects, for each time instant, which control inputs act on the system in that instant. We address the optimal scheduling…

Optimization and Control · Mathematics 2025-02-12 Luca Ballotta , Geethu Joseph , Irawati Rahul Thete

The problem of structured matrix estimation has been studied mostly under strong noise dependence assumptions. This paper considers a general framework of noisy low-rank-plus-sparse matrix recovery, where the noise matrix may come from any…

Machine Learning · Statistics 2025-04-07 Jinhang Chai , Jianqing Fan

Strong structural controllability (SSC) guarantees networked system with linear-invariant dynamics controllable for all numerical realizations of parameters. Current research has established algebraic and graph-theoretic conditions of SSC…

Machine Learning · Computer Science 2024-02-28 Mengbang Zou , Weisi Guo , Bailu Jin

With the rising importance of large-scale network control, the problem of actuator placement has received increasing attention. Our goal in this paper is to find a set of actuators minimizing the metric that measures the average energy…

Optimization and Control · Mathematics 2021-07-14 Baiwei Guo , Orcun Karaca , Tyler Summers , Maryam Kamgarpour

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…

Optimization and Control · Mathematics 2019-08-27 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

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

The article addresses the problem of strong structural controllability of structured networks with multi-input multi-output (MIMO) node systems. The authors first present necessary and sufficient conditions for strong structural…

Systems and Control · Electrical Eng. & Systems 2023-05-19 Yanting Ni , Xuyang Lou , Junjie Jiao , Jiajia Jia

This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of…

Optimization and Control · Mathematics 2016-06-13 Sergio Pequito , George J. Pappas

A novel and detailed convergence analysis is presented for a greedy algorithm that was previously introduced for operator reconstruction problems in the field of quantum mechanics. This algorithm is based on an offline/online decomposition…

Optimization and Control · Mathematics 2020-11-02 S Buchwald , G Ciaramella , Julien Salomon

We study a linear quadratic regulation problem with a constraint where the control input can be nonzero only at a limited number of times. Given that this constraint leads to a combinational optimization problem, we adopt a greedy method to…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Shumpei Nishida , Kunihisa Okano

We empirically analyze a simple heuristic for large sparse set cover problems. It uses the weighted greedy algorithm as a basic building block. By multiplicative updates of the weights attached to the elements, the greedy solution is…

Data Structures and Algorithms · Computer Science 2020-10-30 Marc Alexa

Motivated by the development and deployment of large-scale dynamical systems, often composed of geographically distributed smaller subsystems, we address the problem of verifying their controllability in a distributed manner. In this work…

Optimization and Control · Mathematics 2015-06-19 Joao Carvalho , Sergio Pequito , A. Pedro Aguiar , Soummya Kar , Karl H. Johansson

We describe the Simple Greedy Matrix Completion Algorithm providing an efficient method for restoration of low-rank matrices from incomplete corrupted entries. We provide numerical evidences that, even in the simplest implementation, the…

Numerical Analysis · Mathematics 2013-04-16 Alexander Petukhov , Inna Kozlov
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