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Inter-area oscillations in bulk power systems are typically poorly controllable by means of local decentralized control. Recent research efforts have been aimed at developing wide- area control strategies that involve communication of…

Optimization and Control · Mathematics 2013-11-13 Florian Dörfler , Mihailo R. Jovanovic , Michael Chertkov , Francesco Bullo

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

Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates a class of random dynamical systems, arising from perturbing a one-dimensional piecewise…

Dynamical Systems · Mathematics 2025-10-27 Cecilia González-Tokman , Joshua Peters

Striped Turing patterns and solitary band and disk structures are constructed using a three-variable multiscale model with cubic nonlinearity and global control. The existence and stability conditions of regular structures are analysed…

patt-sol · Physics 2009-10-30 L. M. Pismen

Systems whose variable are constrained to be positive allow computationally efficient control design. We generalize these results to linear systems which leave a cone invariant. This is a wider class of systems than positive systems. We…

Systems and Control · Electrical Eng. & Systems 2020-01-28 Yu Kawano , Fulvio Forni

In this paper, we investigate the problem of actuator selection for linear dynamical systems. We develop a framework to design a sparse actuator schedule for a given large-scale linear system with guaranteed performance bounds using…

Systems and Control · Computer Science 2020-06-04 Milad Siami , Alex Olshevsky , Ali Jadbabaie

This paper addresses the problem of identifying sparse linear time-invariant (LTI) systems from a single sample trajectory generated by the system dynamics. We introduce a Lasso-like estimator for the parameters of the system, taking into…

Systems and Control · Computer Science 2019-04-23 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

The paper presents a novel method for designing an optimal controller for discrete-time switched linear systems. The problem is formulated as one of computing the discrete mode sequence and the continuous input sequence that jointly…

Systems and Control · Computer Science 2017-04-25 Jérémie Kreiss , Laurent Bako , Eric Blanco

Recently, a framework for controller design of sampled-data nonlinear systems via their approximate discrete-time models has been proposed in the literature. In this paper we develop novel tools that can be used within this framework and…

Optimization and Control · Mathematics 2007-05-23 Dragan Nesic , Antonio Loria

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

This paper provides a novel approach for finding sparse state-space realizations of linear systems (e.g., controllers). Sparse controllers are commonly used in distributed control, where a controller is synthesized with some sparsity…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Yaozhi Du , Jing Shuang Li

We study the controllability of a coupled system of linear parabolic equations, with non-negativity constraint on the state. We establish two results of controllability to trajectories in large time: one for diagonal diffusion matrices with…

Optimization and Control · Mathematics 2021-05-18 Pierre Lissy , Clément Moreau

In the physics literature it is common to see the rotating wave approximation andthe adiabatic approximation used "in cascade" to justify the use of chirped pulses for two-level quantum systems driven by one external field, in particular…

Mathematical Physics · Physics 2021-05-11 Rémi Robin , Nicolas Augier , Ugo Boscain , Mario Sigalotti

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

There exist many examples of systems which have some symmetries, and which one may monitor with symmetry preserving controls. Since symmetries are preserved along the evolution, full controllability is not possible, and controllability has…

Dynamical Systems · Mathematics 2025-01-13 Andrei Agrachev , Cyril Letrouit

This paper introduces a framework for quantitative characterization of the controllability of time-varying linear systems (or networks) in terms of input novelty. The motivation for such an approach comes from the study of biophysical…

Optimization and Control · Mathematics 2014-11-24 Gautam Kumar , Delsin Menolascino , ShiNung Ching

A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Lili Wang , Ji Liu , A. Stephen Morse

An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system…

Optimization and Control · Mathematics 2014-02-19 Amol Sasane

This paper studies the controllability of networked relative coupling systems (NRCSs), in which subsystems are of fixed high-order linear dynamics and coupled through relative variables depending on their neighbors, from a structural…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Yuan Zhang , Yuanqing Xia , Dihua Zhai

In the present paper we consider controllability and observability of second order linear time invariant systems in matrix form. Without reducing into first order systems we show how the classical conditions for first order linear systems…

Optimization and Control · Mathematics 2019-06-18 Elimhan N. Mahmudov