Controllability of linear and nonlinear systems governed by Stieltjes differential equations

Y Si, JR Wang, M Fečkan - Applied Mathematics and Computation, 2020 - Elsevier
In this manuscript, controllability of vector valued g-derivative Stieltjes differential system is
considered. For linear system, explicit solution of homogeneous case is obtained by …

p-Moment exponential stability of Caputo fractional differential equations with noninstantaneous random impulses

R Agarwal, S Hristova, D O'Regan - Journal of Applied Mathematics and …, 2017 - Springer
Stability of Caputo fractional differential equations with impulses occurring at random
moments and with non-instantaneous time of their action is studied. Using queuing theory …

Caputo fractional differential equations with non-instantaneous random erlang distributed impulses

S Hristova, K Ivanova - Fractal and Fractional, 2019 - mdpi.com
The p-moment exponential stability of non-instantaneous impulsive Caputo fractional
differential equations is studied. The impulses occur at random moments and their action …

[PDF][PDF] p-moment exponential stability of differential equations with random noninstantaneous impulses and the Erlang distribution

R Agarwal, S Hristova, D O'Regan… - Int. J. Pure Appl …, 2016 - researchgate.net
In some real world phenomena a process may change instantaneously at uncertain
moments and act non instantaneously on finite intervals. In modeling such processes it is …

[HTML][HTML] Continuous approximation of linear impulsive systems and a new form of robust stability

KEM Church - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
The time-scale tolerance for linear ordinary impulsive differential equations is introduced.
How large the time-scale tolerance is directly reflects the degree to which the qualitative …

Differential equations with random Gamma distributed moments of non-instantaneous impulses and p-moment exponential stability

R Agarwal, S Hristova, D O'Regan… - Demonstratio …, 2018 - degruyter.com
Nonlinear differential equations with impulses occurring at random time and acting
noninstantaneously on finite intervals are studied. We consider the case when the time …

A new measure of robust stablity for linear ordinary impulsive differential equations

KEM Church - … and Computational Approaches in Advancing Modern …, 2016 - Springer
A new measure of robust stability for linear ordinary impulsive differential equations with
periodic structure is introduced, based on the impulse extension concept. This new stability …