[图书][B] Stability theory for dynamic equations on time scales

AA Martynyuk - 2016 - Springer
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 …

Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions

FZ Taousser, M Defoort, M Djemai - Nonlinear Analysis: Hybrid Systems, 2015 - Elsevier
This paper deals with the stability analysis of a class of uncertain switched systems on non-
uniform time domains. The considered class consists of dynamical systems which commute …

[PDF][PDF] Linear impulsive dynamic systems on time scales

V Lupulescu, A Zada - Electronic Journal of Qualitative Theory of …, 2010 - real.mtak.hu
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 …

Stability of abstract dynamic equations on time scales

AE Hamza, KM Oraby - Advances in Difference Equations, 2012 - Springer
In this paper, we investigate many types of stability, like uniform stability, asymptotic stability,
uniform asymptotic stability, global stability, global asymptotic stability, exponential stability …

On the exponential stability of dynamic equations on time scales

NH Du - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
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 …

A dwell time approach for the stabilization of mixed continuous/discrete switched systems

FZ Taousser, SM Djouadi, K Tomsovic - Automatica, 2022 - Elsevier
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 …

State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains

BB Nasser, K Boukerrioua, M Defoort, M Djemai… - Systems & Control …, 2016 - Elsevier
This paper deals with the stabilization problem for a class of uncertain nonlinear systems on
non-uniform time domains. Some sufficient conditions are derived to design a state feedback …

Stability analysis of a class of switched linear systems on non-uniform time domains

FZ Taousser, M Defoort, M Djemai - Systems & Control Letters, 2014 - Elsevier
This paper deals with the stability analysis of a class of switched linear systems on non-
uniform time domains. The considered class consists of a set of linear continuous-time and …

Exponential stability of nonlinear positive systems on time scales

Z Bartosiewicz - Nonlinear Analysis: Hybrid Systems, 2019 - Elsevier
Positive uniform exponential stability of positive nonlinear systems on arbitrary time scales
with bounded graininess function is studied. It is proved that linearization preserves positivity …

On stabilisability of nonlinear systems on time scales

Z Bartosiewicz, E Piotrowska - International Journal of Control, 2013 - Taylor & Francis
In this article, stabilisability of nonlinear finite-dimensional control systems on arbitrary time
scales is studied. The classical results on stabilisation of nonlinear continuous-time and …