This paper deals with the description of a new method for calculating the functional output-controllability. It is computed by means of the rank of a certain constant matrix which can be associated to the system. Moreover, a new method for the pointwise output-controllability determination by means of constructing the output-controllability matrix associated to the system using the residues of ...

Many control systems contain control inputs which are constrained to be non–negative. Unfortunately, the unilateral nature of such inputs makes them similar to a drift term, and correspondingly complicates any attempt to determine controllability. We present a controllability test in which Lie brackets are characterized as “good” or “bad,” from which controllability follows from the relationshi...

Abstract. In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman inequality for the linearized Navier-Stokes system, which leads to null controllability of this system at any time T > 0. Then, fixed point arguments lead to the dedu...

In this paper we provide generalizations of Zubov’s equation to differential games without Isaacs’ condition. We show that both generalizations of Zubov’s equation (which we call min-max and max-min Zubov equation, respectively) possess unique viscosity solutions which characterize the respective controllability domains. As a consequence, we show that under the usual Isaacs condition the respec...

The paper presents a unified perspective on geometric and algebraic criteria for reachability and controllability of controlled switched linear discrete-time systems. Direct connections between geometric and algebraic criteria are established as well as that between the subspace based controllability/reachability algorithmandKalman-type algebraic rank criteria. Also the existing geometric crite...

This paper studies controllability of bimodal systems that consist of two linear dynamics on each side of a given hyperplane. We show that the controllability properties of these systems can be inferred from those of linear systems for which the inputs are constrained in a certain way. Inspired by the earlier work on constrained controllability of linear systems, we derive necessary and suffici...

In this report, we define linear dependency and independency of the interval vectors and present an effective method for checking the linear independency of interval vectors. As a possible application of the interval vectors to the robust control problem, the robust controllability and un-controllability problems of uncertain interval system are solved. Through the numerical examples and by com...

Sufficent conditions for controllability of nonlinear neutral Volterra integrodifferential systems are established. Controllability of an infinite-delay neutral Volterra system is also considered.

In this manuscript, we show how higher-order graphical models can be applied to study the controllability of networked systems with dynamic topologies. Studying empirical data on temporal networks, we specifically show that the order correlations in the activation sequence of links can both increase or reduce the time needed to achieve full controllability. We then demonstrate how spectral prop...

In this work we make a detailed look at the algebraic structure of convolutional codes using techniques of linear systems theory. In particular we study the input-state-output representation of a convolutional code. We examine the output-controllability property and we give conditions for this property. At the end of the paper is presented a brief introduction to the analysis of output controll...