Results 31 to 40 of about 8,375 (165)

On the fractional differential equations with not instantaneous impulses

Open Physics, 2016
Based on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq ∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems.
Zhang Xianmin, Agarwal Praveen, Liu Zuohua, Zhang Xianzhen, Ding Wenbin, Ciancio Armando   +5 more
doaj   +1 more source

Minimal data rate stabilization of nonlinear systems over networks with large delays [PDF]

, 2007
Control systems over networks with a finite data rate can be conveniently modeled as hybrid (impulsive) systems. For the class of nonlinear systems in feedfoward form, we design a hybrid controller which guarantees stability, in spite of the measurement ...
De Persis, Claudio
core   +4 more sources

Generalized exponential stability of differential equations with non-instantaneous impulses [PDF]

AIP Conference Proceedings, 2017
A nonlinear system of differential equations with non-instantaneous impulses is studied. The generalized exponential stability with respect to non-instantaneous impulses is defined. Sufficient conditions by the help with Lyapunov functions are obtained.
Snezhana Hristova, Krasimira Ivanova, Todor Kostadinov   +2 more
openaire   +1 more source

Generalized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic and conservative interactions [PDF]

, 2005
We present a generalization of the Green-Kubo expressions for thermal transport coefficients $\mu$ in complex fluids of the generic form, $\mu= \mu_\infty +\int^\infty_0 dt V^{-1} _0$, i.e.
C. W. Gardiner, H. C. Oettinger, H. Risken, J. P. Hansen, M. H. Ernst, M. P. Allen, M. Ripoll, N. G. van Kampen, P. Español, P. Español, P. J. Hoogerbrugge, P. Resibois, R. Brito, S. Chapman   +13 more
core   +3 more sources

Razumikhin method to delay differential equations with non-instantaneous impulses [PDF]

Differential Equations & Applications, 2019
This paper deals with the stability of a system of non-instantaneous impulsive delay differential equations \[ \begin{aligned} x^{\prime}(t) &=f(t,x_{t})\text{ for }t\in (t_{k},s_{k+1}),\ k=0,1,2,\dots \\ x(t) &=\Phi _{k}(t,x(t),x(s_{k}-0))\text{ for }t\in (s_{k},t_{k}],~k=1,2,\dots \\ x(t+t_{0}) &=\phi (t)\text{ for }t\in \lbrack -r,0]. \end{aligned} \
Agarwal, Ravi, Hristova, Snezhana, O'Regan, Donal   +2 more
openaire   +1 more source

Variational approach to non-instantaneous impulsive nonlinear differential equations

The Journal of Nonlinear Sciences and Applications, 2017
Summary: In this paper, a class of nonlinear differential equations with non-instantaneous impulses are considered. By using variational methods and critical point theory, a criterion is obtained to guarantee that the non-instantaneous impulsive problem has at least two distinct nonzero bounded weak solutions.
Bai, Liang, Nieto, Juan J., Wang, Xiaoyun   +2 more
openaire   +2 more sources

On fractional differential equations with Riesz-Caputo derivative and non-instantaneous impulses

Sahand Communications in Mathematical Analysis, 2023
Summary: This article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative. The results are based on Banach contraction principle and Krasnoselskii's fixed point theorem.
Rahou, Wafaa, Salim, Abdelkrim, Larzeg, Jamal, Benchohra, Mouffak   +3 more
openaire   +3 more sources

Stability analysis for $ (\omega, c) $-periodic non-instantaneous impulsive differential equations

AIMS Mathematics, 2022
<abstract><p>In this paper, the stability of $ (\omega, c) $-periodic solutions of non-instantaneous impulses differential equations is studied. The exponential stability of homogeneous linear non-instantaneous impulsive problems is studied by using Cauchy matrix, and some sufficient conditions for exponential stability are obtained ...
openaire   +2 more sources

Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays

Axioms, 2018
In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include
Ravi Agarwal, Snezhana Hristova, Donal O'Regan   +2 more
doaj   +1 more source

Basic Concepts of Riemann–Liouville Fractional Differential Equations with Non-Instantaneous Impulses [PDF]

Symmetry, 2019
In this paper a nonlinear system of Riemann–Liouville (RL) fractional differential equations with non-instantaneous impulses is studied. The presence of non-instantaneous impulses require appropriate definitions of impulsive conditions and initial conditions.
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
openaire   +1 more source