We study conditions under which the solutions of a time varying linear dynamic system of the
form xΔ (t)= A (t) x (t) are stable on certain time scales. We give sufficient conditions for …

During the last decades, many areas of modern applied mathematics, such as the automatic
control theory, the study of aircraft and spacecraft dynamics, and others, have been faced …

We prove a necessary and sufficient condition for the exponential stability of time-invariant
linear systems on time scales in terms of the eigenvalues of the system matrix. In particular …

The sufficient conditions for different types of stability of three classes of hybrid systems
modeled by dynamic equations on a time scale, impulsive hereditary systems, and …

The purpose of this paper is to present the fundamental concepts of the basic theory for
linear impulsive systems on time scales. First, we introduce the transition matrix for linear …

In this paper, we investigate many types of stability, like uniform stability, asymptotic stability,
uniform asymptotic stability, global stability, global asymptotic stability, exponential stability …

In this paper, we deal with some theorems on the exponential stability of trivial solution of
time-varying non-regressive dynamic equation on time scales with bounded graininess. In …

In this work, we reexamine the time scale Laplace transform as defined by Bohner and
Peterson [M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with …

The theory of time scales that can unify and extend continuous and discrete analysis has
proved to be more accurate in modeling the dynamic process. The Lie symmetry approach …

In this paper, we study the stabilization properties of Continuous/Discrete switched systems
using the dwell time approaches. The considered system switches between a continuous …