This paper deals with the controllability of linear one-dimensional hyperbolic systems.
Reformulating the problem in terms of linear difference equations and making use of infinite …

This paper studies the qualitative behavior of solutions of linear discrete systems with
constant coefficients and a constant time delay under the influence of a control function. In …

This paper deals with generalised Caputo fractional proportional linear time-invariant
systems in a finite-dimensional space. The Laplace transformation method ensures the …

The paper deals with the controllability of finite-dimensional linear difference delay
equations, ie, dynamics for which the state at a given time $ t $ is obtained as a linear …

This article is concerned with relative controllability of higher order linear discrete delayed
systems with a single delay. By a formula that uses special matrix functions (discrete …

In this work, with the aid of the representation of the solution, the relative controllability for
delaying linear discrete systems with a second-order difference is principally investigated …

In this paper, we study approximate and exact controllability of the linear difference equation
x (t)=∑ N j= 1 Aj x (t− Λj)+ Bu (t) in L2, with x (t)∈ Cd and u (t)∈ Cm, using as a basic tool a …

Based on an algebraic point of view and the realization theory developed by Y. Yamamoto,
the present paper states a necessary and sufficient criterion, given in the frequency domain …

The paper considers a discretization of a differential wind-tunnel model of the Mach number
dynamics with a time-delay. It is shown that the homogeneous part of the linear discrete …

This paper addresses the control problem for linear difference delay equations (LDDEs). We
demonstrate that the 𝐿1 exact controllability criteria derived in [8] can be reduced to a …