This paper studies commutativity of sixth-order differential systems with zero and nonzero
initial conditions (ICs). Given a sixth-order differential system A, we find its commutative pair …

Decomposition is an important tool that is used in many differential systems for solving real
engineering problems and improving the stability of a system. It involves breaking down of …

In this work, we presented the following hyperbolic telegraph partial differential equation {utt
(t, x)+ ut (t, x)+ u (t, x)= uxx (t, x)+ ux (t, x)+ f (t, x), 0≤ t≤ T u (t, 0)= u (t, L)= 0, u (0, x)= φ (x), ut …

Linear time-varying (LTV) systems naturally arise when one linearizes nonlinear systems
about a trajectory. In contrast the linear time-invariant (LTI) cases which have been …

The article is devoted to modelling and analysis of linear time‐varying (LTV) filters with
periodically variable coefficients. A transmission model of such filters has been described …

In this study, the initial value problem for a telegraph equation in a Hilbert space is
considered. The stability estimate for the solution of this problem is given. A first and a …

In this work, the nonlocal boundary value problem for a telegraph equation in a Hilbert
space is conceived. Stability estimates for the solution of this problem are obtained. The first …

After introducing commutativity concept and summarizing the relevant literature, this work is
focused on the commutativity of feedback conjugates. It is already known that a linear time …

After summarizing the commutativity results for analogue linear time-varying systems, the
commutativity of cascade connected discrete-time linear time-varying systems is introduced …

Decomposition is a common tool for the synthesis of many physical systems. It is also used
for analyzing large-scale systems which are then known as tearing and reconstruction. On …