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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

This paper studies structural controllability for a networked dynamic system (NDS), in which each subsystem may have different dynamics, and unknown parameters may exist both in subsystem dynamics and in subsystem interconnections. In…

Optimization and Control · Mathematics 2019-03-07 Yuan Zhang , Tong Zhou

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

This paper proposes a notion termed perturbation-tolerant structural controllability (PTSC) to study the generic property of controllability preservation/resilience of structured linear systems under structured perturbations. A structured…

Optimization and Control · Mathematics 2024-02-13 Yuan Zhang , Yuanqing Xia , Gang Wang , Jinhui Zhang

In this paper, a necessary and sufficient condition for the controllability of networked systems with heterogeneous dynamics is established where the nodes are higher dimensional linear time invariant systems and the network topology is…

Optimization and Control · Mathematics 2023-01-09 Abhijith Ajayakumar , Raju K george

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

In this paper, given a linear time-invariant strongly connected network, we study the problem of determining the minimum number of state variables that need to be simultaneously actuated and measured to ensure structural controllability and…

Optimization and Control · Mathematics 2021-11-29 Guilherme Ramos , A. Pedro Aguiar , Sérgio Pequito

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

In this paper, we consider the problem of computing robust controlled invariants for discrete-time monotone dynamical systems. We consider different classes of monotone systems depending on whether the sets of states, control inputs and…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Adnane Saoud , Murat Arcak

In this note we consider continuous-time systems x'(t) = A(t) x(t) + B(t) u(t), y(t) = C(t) x(t) + D(t) u(t), as well as discrete-time systems x(t+1) = A(t) x(t) + B(t) u(t), y(t) = C(t) x(t) + D(t) u(t) whose coefficient matrices A, B, C…

Optimization and Control · Mathematics 2017-01-03 Gunther Reissig , Christoph Hartung , Ferdinand Svaricek

For large-scale network systems, network centrality based on control theory plays a crucial role in understanding their properties and controlling them efficiently. The controllability score is such a centrality index and can give a…

Optimization and Control · Mathematics 2025-10-07 Kota Umezu , Kazuhiro Sato

We present D-Phi iteration: an algorithm for distributed, localized, and scalable robust control of systems with structured uncertainties. This algorithm combines the System Level Synthesis (SLS) parametrization for distributed control with…

Optimization and Control · Mathematics 2022-09-21 Jing Shuang Li , John C. Doyle

The classical notions of structural controllability and structural observability are receiving increasing attention in Network Science, since they provide a mathematical basis to answer how the network structure of a dynamic system affects…

Systems and Control · Computer Science 2018-12-13 Marco Tulio Angulo , Andrea Aparicio , Claude H. Moog

We introduce a class of distributed control policies for networks of discrete-time linear systems with polytopic additive disturbances. The objective is to restrict the network-level state and controls to user-specified polyhedral sets for…

Systems and Control · Computer Science 2017-09-29 Sadra Sadraddini , Calin Belta

Mathematical models are fundamental building blocks in the design of dynamical control systems. As control systems are becoming increasingly complex and networked, approaches for obtaining such models based on first principles reach their…

Machine Learning · Computer Science 2022-07-19 Dominik Baumann , Friedrich Solowjow , Karl H. Johansson , Sebastian Trimpe

This paper investigates the robustness of strong structural controllability for linear time-invariant and linear time-varying directed networks with respect to structural perturbations, including edge deletions and additions. In this…

Dynamical Systems · Mathematics 2020-05-26 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

Some necessary and sufficient conditions are obtained for the controllability and observability of a networked system with linear time invariant (LTI) dynamics. The topology of this system is fixed but arbitrary, and every subsystem is…

Systems and Control · Computer Science 2016-10-12 Tong Zhou

In this paper, we discuss a distributed control architecture, aimed at networks with linear and time-invariant dynamics, which is amenable to convex formulations for controller design. The proposed approach is well suited for large scale…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Şerban Sabău , Andrei Sperilă , Cristian Oară , Ali Jadbabaie

This paper is concerned with the problem of controlling a system of constrained dynamic subsystems in a way that balances the performance degradation of decentralized control with the practical cost of centralized control. We propose a…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Pablo R Baldivieso-Monasterios , Paul A Trodden

We consider the problem of designing distributed controllers to guarantee dissipativity of a networked system comprised of dynamically coupled subsystems. We require that the control synthesis is carried out locally at the subsystem-level,…

Systems and Control · Computer Science 2020-04-30 Etika Agarwal , S. Sivaranjani , Vijay Gupta , Panos Antsaklis