In this article, we investigate the controllability of multi-agent systems with leaders as control inputs, where the interconnection is directed and weighted. We employ weight-balanced partition to classify the interconnection graphs, and study the controllable subspaces with given nontrivial weight-balanced partition. We also provide two necessary and sufficient graph conditions on structural ...

Controlling complex networked systems to desired states is a key research goal in contemporary science. Despite recent advances in studying the impact of network topology on controllability, a comprehensive understanding of the synergistic effect of network topology and individual dynamics on controllability is still lacking. Here we offer a theoretical study with particular interest in the div...

‘‘Controllability awareness’’ describes the extent to which an individual’s responses to life situations reflect attention to distinctions between controllable and uncontrollable aspects of potential outcomes. The construct recognizes four aspects of controllability: personal control of outcomes, shared control of outcomes, others in responsibility, and uncontrollable/unpredictable outcomes. La...

• This work was supported by Komitet Badań Naukowych under Grant 8T11A 018 019. J. Klamka is with Silesian University of technology, 44-100 Gliwice, Poland (e-mail: [email protected]) Abstract. The present paper is devoted to a study of constrained controllability and controllability for linear dynamical systems if the controls are taken to be nonnegative. In analogy to the usual defi...

In this paper, we will present some recent progress in both global controllability and global asymptotical controllability of affine nonlinear systems. Our method is based on some basic facts in planar topology and in the geometric theory of ordinary differential equations. We will first present a necessary and sufficient condition for global controllability of general planar affine nonlinear s...

In this paper, we deal with controllability properties of linear and nonlinear Korteweg–de Vries equations in a bounded interval. The main part of this paper is a result of uniform controllability of a linear KdV equation in the limit of zero-dispersion. Moreover, we establish a result of null controllability for the linear equation via the left Dirichlet boundary condition, and of exact contro...

A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated a...

Network controllability is an important topic in wide-ranging research fields. However, the relationship between controllability and network structure is poorly understood, although degree heterogeneity is known to determine the controllability. We focus on the size of a minimum dominating set (MDS), a measure of network controllability, and investigate the effect of degree-degree correlation, ...

We study the internal controllability of the semilinear wave equation vtt(x, t)−∆v(x, t) + f(x, v(x, t)) = 1ωu(x, t) for some nonlinearities f which can produce several non-trivial steady states. One of the usual hypotheses to get global controllability, is to assume that f(x, v)v ≥ 0. In this case, a stabilisation term u = γ(x)vt makes any solution converging to zero. The global controllabilit...

Null controllability for a class of parallelly connected discrete-time polynomial systems is considered. We prove for this class of systems that a necessary and sufficient condition for null controllability of the parallel connection is that all its subsystems are null controllable. Consequently, the controllability test splits into a number of easy-to-check tests for the subsystems. The test f...