Controllability problemsof dynamical high-order multi-agent systems are concerned. Amethodology on graph topology transformation is proposed, which can help to analyze the controllability. According to this methodology, a path can be regarded as controllability canonical form of graph, and any controllable graph can be transformed into an equivalent path. Besides, controllability of heterogeneo...

In this paper we study the exact controllability of multi-agent linear systems, in which all agents have an identical linear dynamic mode that can be in any order. Key–Words: Multi-agent systems, consensus, controllability, exact consensus controllability.

This paper considers the controllability analysis problem for a class of multirotor systems subject to rotor failure/wear. It is shown that classical controllability theories of linear systems is not sufficient to test the controllability of the considered multirotors. Owing to this, a new necessary and sufficient condition for the controllability of multirotors is derived, where an easy-to-use...

In this paper, we study approximate and exact controllability of the linear difference equation x(t) = ∑Nj=1A jx(t −Λ j) +Bu(t) in L2, with x(t) ∈ C and u(t) ∈ C, using as a basic tool a representation formula for its solution in terms of the initial condition, the control u, and some suitable matrix coefficients. When Λ1, . . . ,ΛN are commensurable, approximate and exact controllability are e...

Longman, et al. used a new method called controllability degree for the placement of sensors and actuators on air structures. The concept of controllability degree is for the standard maneuverability of air constructions which relies on the system's nature and structure. They proposed numerical methods to produce the optimal placement of sensors and actuators. They described that the controllab...

A goal in engineering systems is to try to control them. Control theory offers mathematical tools for steering engineered systems towards a desired state. Stabilizability and controllability can be studied under different points of view, in particular, we focus on measure of controllability in the sense of the minimum set of controls that need for to steer the multiagent system toward any desir...

This paper completely solves the controllability problems of two-dimensional multi-input discrete-time bilinear systems with and without drift. Necessary and sufficient conditions for controllability, which cover the existing results, are obtained by using an algebraic method. Furthermore, for the uncontrollable systems, near-controllability is studied and necessary and sufficient conditions fo...

The notion of controllability has played a central role throughout the history of modern control theory. The problem of controllability is to show the existence of a control function, which steers dynamical control systems from its initial state to the final state, where the initial and final states may vary over the entire space. The problem of controllability of linear deterministic system is...

Linear, continuous stochastic dynamical systems with multiple delays in control are studied in the paper. Their relative stochastic controllability with constrained control is discussed. The definitions of various type of constrained relative and absolute stochastic controllability for linear systems with delays in control are introduced. Criteria of relative and absolute stochastic controllabi...

We study the boundary exact controllability for the quasilinear wave equation in the higher-dimensional case. Our main tool is the geometric analysis. We derive the existence of long time solutions near an equilibrium, prove the locally exact controllability around the equilibrium under some checkable geometrical conditions. We then establish the globally exact controllability in such a way tha...