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Conditions for the existence of a fixed spectrum \{i.e., the set of fixed modes\} for a multi-channel linear system have been known for a long time. The aim of this paper is to reestablish one of these conditions using a new and transparent…

Systems and Control · Computer Science 2019-11-12 Fengjiao Liu , A. Stephen Morse

One version of the concept of structural controllability defined for single-input systems by Lin and subsequently generalized to multi-input systems by others, states that a parameterized matrix pair $(A, B)$ whose nonzero entries are…

Systems and Control · Computer Science 2019-11-12 Fengjiao Liu , A. Stephen Morse

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

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

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

A solution is given to the basic distributed feedback control problem for a multi-channel linear system assuming only that the system is jointly controllable, jointly observable and has an associated neighbor graph which is strongly…

Systems and Control · Electrical Eng. & Systems 2020-03-16 L. Wang , D. Fullmer , F. Liu , A. S. Morse

Parameterized verification of coverability in broadcast networks with finite state processes has been studied for different types of models and topologies. In this paper, we attempt to develop a theory of broadcast networks in which the…

Logic in Computer Science · Computer Science 2018-09-11 A. R. Balasubramanian

An unconstrained optimal control policy is completely decentralized if computing actuation for each subsystem only requires information directly available to its own subcontroller. Parameters that admit a completely decentralized optimal…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Addie McCurdy , Isabel Collins , Emily Jensen

This paper addresses questions regarding controllability for `generic parameter' dynamical systems, i.e. the question whether a dynamical system is `structurally controllable'. Unlike conventional methods that deal with structural…

Optimization and Control · Mathematics 2010-06-29 Madhu N. Belur , Sivaramakrishnan Sivasubramanian

This paper deals with a unifying approach to the problems of computing the admissible sets of parametrical multi perturbations in appropriate bounded sets such that some fundamental properties of parameter-varying linear dynamic systems are…

Optimization and Control · Mathematics 2008-03-28 M. De la Sen

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

Parameterized verification of coverability in broadcast networks with finite state processes has been studied for different types of models and topologies. In this paper, we attempt to develop a theory of broadcast networks in which the…

Logic in Computer Science · Computer Science 2023-04-27 A. R. Balasubramanian

In a "structured system" of equations, each equation depends on a specified subset of the variables. In this article, we explore properties common to "almost every" system with a fixed structure and how the properties can be read from the…

Classical Analysis and ODEs · Mathematics 2023-04-04 Sana Jahedi , Timothy Sauer , James A. Yorke

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

In formation control, an ensemble of autonomous agents is required to stabilize at a given configuration in the plane, doing so while agents are allowed to observe only a subset of the ensemble. As such, formation control provides a rich…

Optimization and Control · Mathematics 2011-10-07 M. -A. Belabbas

We report conditions on a switching signal that guarantee that solutions of a switched linear systems converge asymptotically to zero. These conditions are apply to continuous, discrete-time and hybrid switched linear systems, both those…

Optimization and Control · Mathematics 2014-02-11 Jesus San Martin , Anthony G. O'Farrell

We present sufficient conditions under which a given linear nonautonomous system and its nonlinear perturbation are topologically conjugated. Our conditions are of a very general form and provided that the nonlinear perturbations are…

Classical Analysis and ODEs · Mathematics 2022-10-12 Lucas Backes , Davor Dragičević

Modern data analysis depends increasingly on estimating models via flexible high-dimensional or nonparametric machine learning methods, where the identification of structural parameters is often challenging and untestable. In linear…

Statistics Theory · Mathematics 2026-01-21 Andrii Babii , Jean-Pierre Florens

Recently, a model of a decentralized control system with local and remote controllers connected over unreliable channels was presented in [1]. The model has a non-classical information structure that is not partially nested. Nonetheless, it…

Systems and Control · Electrical Eng. & Systems 2019-11-06 Mohammad Afshari , Aditya Mahajan

An input-output approach to stability analysis is explored for networked systems with uncertain link dynamics. The main result consists of a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Simone Mariano , Michael Cantoni
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