Functional Output-Controllability of Time-Invariant Singular Linear Systems

Abstract

In the space of finite-dimensional singular linear continuous-time-invariant systems described in the form 1 where , , , functional output-controllability character is considered. A simple test based in the computation of the rank of a certain constant matrix that can be associated to the system is presented.

Control properties of multiagent dynamical systems modelling brain neural networks

“…In these recent years, the study of the control of complex networks with linear dynamics has gained importance in both science and engineering. Controllability of a dynamical system has being largely studied by several authors and under many different points of view, (see [1], [2], [3], [5], [8], [12], [15] and [20], for example). Between different aspects in which we can study the controllability we have the notion of structural controllability that has been proposed by Lin [18] as a framework for studying the controllability properties of directed complex networks where the dynamics of the system is governed by a linear system:ẋ(t) = Ax(t) + Bu(t) usually the matrix A of the system is linked to the adjacency matrix of the network, x(t) is a time dependent vector of the state variables of the nodes, u(t) is the vector of input signals, and B which defines how the input signals are connected to the nodes of the network and it is the called input matrix.…”

Concatenated linear systems over rings and their application to construction of concatenated families of convolutional codes

“…From these works, there is a considerable body of literature about the construction of convolutional codes using the approach of linear systems. In particular, some authors as [2,3,9,10,27] had exploited this relation for the construction of concatenated convolutional codes and, to deduce control properties.…”

On the Output Controllability of Positive Discrete Linear Delay Systems

“…Output controllability is a property of the impulse response matrix of a linear invariant-time system which reflects the dominant ability of an external input to move the output from any initial condition to any final condition in a finite time [2]. In general, the output controllability means that the system's output can be directed regardless of its state [15]. The necessary and sufficient criterion for output controllability of linear time-invariant systems is addressed in, for example, [12].…”